Progress on the Pythia 8 event generator
Progress on the Pythia 8 event generator
Progress on the Pythia 8 event generator
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong><br />
Torbjörn Sjöstrand<br />
Department of Astr<strong>on</strong>omy and Theoretical Physics<br />
Lund University, Lund, Sweden<br />
PRISMA Colloquium and Seminar of <strong>the</strong> Graduate School<br />
Mainz, 23 January 2013
Introducti<strong>on</strong> – 1<br />
Modern <strong>event</strong> <strong>generator</strong>s were born at DESY,<br />
for <strong>the</strong> PETRA e + e − collider! (1978 − 86, 13 − 46 GeV)<br />
• Combine perturbative picture of hard processes,<br />
involving electroweak and str<strong>on</strong>g interacti<strong>on</strong>s,<br />
with n<strong>on</strong>perturbative picture of hadr<strong>on</strong>izati<strong>on</strong>.<br />
• Provide “complete” <strong>event</strong>s, with parameters to be tuned to data,<br />
and used to study and understand different kinds of physics.<br />
JETSET (PYTHIA predecessor): ∼1,000 lines of Fortran code in 1980<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 2/46
Introducti<strong>on</strong> – 2<br />
Events more messy at <strong>the</strong> LHC (even when simplified):<br />
General-purpose <strong>event</strong> <strong>generator</strong>s: PYTHIA, HERWIG, SHERPA<br />
PYTHIA size: ∼80,000 lines (Fortran in PYTHIA 6, C++ in PYTHIA 8)<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 3/46
Event Generator Reas<strong>on</strong>s<br />
Structure of LHC <strong>event</strong>s impossible to “solve”<br />
from first principles.<br />
Several competing mechanisms c<strong>on</strong>tribute,<br />
both perturbative and n<strong>on</strong>perturbative.<br />
Even if calculable somehow, need 1000-body expressi<strong>on</strong>s<br />
and phase space sampling.<br />
Immense variability, with “typical <strong>event</strong>s” and “rare corners”.<br />
An <strong>event</strong> <strong>generator</strong> is intended to simulate various <strong>event</strong> kinds,<br />
with random numbers providing quantum mechanical variability.<br />
It can be used to<br />
predict <strong>event</strong> rates and topologies ⇒ estimate feasibility<br />
simulate possible backgrounds ⇒ devise analysis strategies<br />
study detector requirements ⇒ optimize design and trigger<br />
study detector imperfecti<strong>on</strong>s ⇒ evaluate acceptance<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 4/46
<strong>Pythia</strong> 8 development overview<br />
Ambiti<strong>on</strong> (relative to <strong>Pythia</strong> 6)<br />
• Meet experimental request for C++ code.<br />
• Housecleaning ⇒ more homogeneous.<br />
• More user-friendly (e.g. settings names).<br />
• Better match to software frameworks<br />
(e.g. card files).<br />
• More space for growth.<br />
• Better interfaces to external standards.<br />
Reality<br />
• Work begun autumn 2004.<br />
• 3 years at CERN ⇒ good progress.<br />
• First release autumn 2007.<br />
• Since <strong>the</strong>n: slower progress,<br />
but gradually things get d<strong>on</strong>e.<br />
• Usage is taking off, at l<strong>on</strong>g last.<br />
Team members<br />
Jesper Christiansen<br />
Stephen Mrenna<br />
Stefan Prestel<br />
Peter Skands<br />
Former members<br />
Stefan Ask<br />
Richard Corke<br />
C<strong>on</strong>tributors<br />
Robert Ciesielski<br />
Nishita Desai<br />
Philip Ilten<br />
Tomas Kasemets<br />
Mikhail Kirsanov<br />
· · ·<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 5/46
Key differences between <strong>Pythia</strong> 6.4 and 8.1<br />
Old features definitely removed include, am<strong>on</strong>g o<strong>the</strong>rs:<br />
• independent fragmentati<strong>on</strong> (always n<strong>on</strong>-default opti<strong>on</strong>)<br />
• mass-ordered showers (original <strong>on</strong>es)<br />
Features omitted so far include, am<strong>on</strong>g o<strong>the</strong>rs:<br />
• ep, γp and γγ beam c<strong>on</strong>figurati<strong>on</strong>s<br />
• several processes, especially Technicolor, partly SUSY<br />
New features, not found in 6.4, include:<br />
⋆ CKKW-L and MLM merging, support POWHEG, more coming<br />
⋆ fully interleaved p ⊥ -ordered MPI + ISR + FSR evoluti<strong>on</strong><br />
⋆ richer mix of underlying-<strong>event</strong> processes (γ, J/ψ, DY, . . . )<br />
⋆ allow rescattering and x-dependent prot<strong>on</strong> size in MPI framework<br />
⋆ full hadr<strong>on</strong>–hadr<strong>on</strong> collisi<strong>on</strong> machinery for diffractive systems<br />
⋆ several new processes, within and bey<strong>on</strong>d SM<br />
⋆ τ lept<strong>on</strong> polarizati<strong>on</strong> in producti<strong>on</strong> and decay<br />
⋆ updated decay data and LO PDF sets<br />
⋆ · · ·<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 6/46
Interfaces<br />
<strong>Pythia</strong> intended to describe <strong>the</strong> complete structure of an <strong>event</strong>,<br />
but nobody can do everything – need to be open to <strong>the</strong> World.<br />
Les Houches Event Files or runtime LHA interface<br />
LHAPDF or o<strong>the</strong>r external PDF libraries<br />
SUSY LHA input<br />
External random number <strong>generator</strong><br />
External beam momentum and vertex spread<br />
Semi-internal matrix elements or res<strong>on</strong>ance widths<br />
(MadGraph 5 can generate code for inclusi<strong>on</strong> in <strong>Pythia</strong>)<br />
External part<strong>on</strong> showers (e.g. Vincia)<br />
External decay of selected particles (EvtGen?)<br />
User hooks: step into generati<strong>on</strong> process, e.g. to veto<br />
Particle/res<strong>on</strong>ance gun (e.g. decay Higgs in isolati<strong>on</strong>)<br />
HepMC output<br />
Combine with RIVET analyses<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 7/46
<strong>Pythia</strong> physics progress in recent years<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 8/46
The Part<strong>on</strong>-Shower Approach<br />
2 → n = (2 → 2) ⊕ ISR ⊕ FSR Iterative structure<br />
of emissi<strong>on</strong>s,<br />
with simple<br />
DGLAP<br />
splitting kernels<br />
FSR = Final-State Radiati<strong>on</strong> = timelike shower<br />
Qi<br />
2 ∼ m 2 > 0 decreasing<br />
ISR = Initial-State Radiati<strong>on</strong> = spacelike showers<br />
Qi<br />
2 ∼ −m 2 > 0 increasing<br />
Showers are unitary: do not (explicitly) change cross secti<strong>on</strong>s;<br />
emissi<strong>on</strong> probabilities do not exceed unity — Sudakov factor.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 9/46
Matrix Elements vs. Part<strong>on</strong> Showers<br />
Matrix Elements vs. Part<strong>on</strong> Showers<br />
ME ME : : Matrix Elements<br />
+ + systematic expansi<strong>on</strong> in αα s (‘exact’) s + + powerful for multipart<strong>on</strong> Born Born level level<br />
+ + flexible phase space cuts<br />
− −loop loop calculati<strong>on</strong>s very tough<br />
−<br />
−<br />
negative cross secti<strong>on</strong> in<br />
incollinear regi<strong>on</strong>s<br />
regi<strong>on</strong>s<br />
⇒ unpredictive jet/<strong>event</strong> structure<br />
⇒ structure<br />
− no easy match to hadr<strong>on</strong>izati<strong>on</strong><br />
− no easy match to hadr<strong>on</strong>izati<strong>on</strong> p 2 ⊥ ,θ2 ,m<br />
virtual<br />
2<br />
PS PS : : Part<strong>on</strong> Showers<br />
−<br />
−<br />
approximate, to LL (or<br />
(or<br />
NLL)<br />
NLL)<br />
− main topology not predetermined<br />
− main ⇒ inefficient for exclusive states<br />
⇒ inefficient for exclusive states<br />
+ process-generic ⇒ simple multipart<strong>on</strong><br />
+ process-generic simple multipart<strong>on</strong><br />
+ Sudakov form factors/resummati<strong>on</strong><br />
+ Sudakov<br />
⇒ sensible<br />
formjet/<strong>event</strong> factors/resummati<strong>on</strong><br />
structure<br />
⇒ sensible structure<br />
+ easy to match to hadr<strong>on</strong>izati<strong>on</strong><br />
dσ<br />
dp 2 , dσ<br />
dθ 2, dσ<br />
dm<br />
⊥<br />
2<br />
real<br />
dσ<br />
dp 2 , dσ<br />
dθ 2, dσ<br />
dm<br />
⊥<br />
2<br />
real×Sudakov<br />
+ easy to match to hadr<strong>on</strong>izati<strong>on</strong> p 2 ⊥ ,θ2 ,m 2<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 10/46
Matrix Elements and Part<strong>on</strong> Showers<br />
Recall complementary strengths:<br />
• ME’s good for well separated jets<br />
• PS’s good for structure inside jets<br />
Marriage desirable! But how?<br />
Very active field of research; requires a lecture of its own<br />
Reweight first PS emissi<strong>on</strong> by ratio ME/PS (simple POWHEG)<br />
Combine several LO MEs, using showers for Sudakov weights<br />
CKKW: analytic Sudakov – not used any l<strong>on</strong>ger<br />
CKKW-L: trial showers gives sophisticated Sudakovs<br />
MLM: match of final part<strong>on</strong>ic jets to original <strong>on</strong>es<br />
Match to NLO precisi<strong>on</strong> of basic process<br />
MC@NLO: additive ⇒ LO normalizati<strong>on</strong> at high p ⊥<br />
POWHEG: multiplicative ⇒ NLO normalizati<strong>on</strong> at high p ⊥<br />
Combine several orders, as many as possible at NLO<br />
MENLOPS<br />
UNLOPS (U = unitarized = preserve normalizati<strong>on</strong>s)<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 11/46
Matching/merging with <strong>Pythia</strong><br />
Built-in NLO+PS for many res<strong>on</strong>ance decays<br />
(γ ∗ /Z 0 , W ± , t, H 0 , SUSY, . . . )<br />
Some few built-in +1 matching (γ ∗ /Z 0 /W ± + 1 jet)<br />
Default max scale gives fairly good QCD jet rates,<br />
also for gauge bos<strong>on</strong> pairs, top pairs (with damping), SUSY<br />
Accepts just about any valid Les Houches Event input<br />
(but matching at an ill–defined “scale”)<br />
POWHEG interface extends <strong>on</strong> “scale” matching to showers<br />
no MC@NLO interface, but Frixi<strong>on</strong>e et al working <strong>on</strong> it<br />
MLM matching code for ALPGEN input recently introduced,<br />
coming for MadGraph5<br />
CKKW-L LO matching (tested for MadGraph5 input)<br />
UNLOPS NLO matching coming<br />
Vincia: alternative antenna shower package,<br />
with ME matching <strong>on</strong> <strong>the</strong> way<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 12/46
Power vs. wimpy showers – 1<br />
Increased role of ME’s at expense of PS’s, but also<br />
desire for total increased precisi<strong>on</strong><br />
Shower PS’s usedmatching for virtual correcti<strong>on</strong>s to MEs: realistic (Sudakovs) QCD default<br />
fast first estimate for new physics<br />
Must Three avoid main doublecounting cases for starting for QCDscale jets: of hard process (mainly ISR):<br />
shower starting scale = p ⊥ of hard 2 → 2 process.<br />
I. QCD jets: must avoid doublecounting,<br />
Study<br />
shower<br />
how<br />
starting<br />
well <strong>the</strong><br />
scale<br />
part<strong>on</strong><br />
=<br />
shower<br />
p ⊥ of<br />
fills<br />
hard<br />
<strong>the</strong><br />
2<br />
phase<br />
→ 2<br />
space,<br />
process.<br />
as prelude to full matching to 2 → 3 real-emissi<strong>on</strong>:<br />
Generally gives surprisingly good agreement, e.g. for 2 → 3:<br />
(a) p ⊥3<br />
(b) p ⊥4<br />
(c) p ⊥5<br />
10 2 0 10 20 30 40 50<br />
10 2 0 10 20 30 40 50<br />
10 3 0 10 20 30 40 50<br />
dσ / dp ⊥ [nb / GeV]<br />
10 1<br />
10 0<br />
10 -1<br />
PS<br />
ME<br />
dσ / dp ⊥ [nb / GeV]<br />
10 1<br />
10 0<br />
10 -1<br />
10 -2<br />
PS<br />
ME<br />
dσ / dp ⊥ [nb / GeV]<br />
10 2<br />
10 1<br />
10 0<br />
10 -1<br />
10 -2<br />
10 -3<br />
10 -4<br />
PS<br />
ME<br />
p ⊥ [GeV]<br />
p ⊥ [GeV]<br />
p ⊥ [GeV]<br />
=5.0 GeV, pmin ⊥4<br />
=5.0 GeV, Rsep =0.10<br />
II. Producti<strong>on</strong> of colour singlets in final state:<br />
Obtain no destructive good qualitative interference agreement, ⇒ showers best in soft full and blast collinear (”power regi<strong>on</strong>s, shower”)<br />
but large regi<strong>on</strong> of phase space well described, and <strong>on</strong>ly corners bad.<br />
p min<br />
⊥3<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 13/46
Power Shower vs. wimpy matching showers to– MEs: 2 realistic hard default<br />
Aim: III. provide Producti<strong>on</strong> better ofdefault coloured shower part<strong>on</strong>s behaviour in final atstate:<br />
large p ⊥ ,<br />
todestructive bridge gap between interference “power” between and “wimpy” ISR andshowers.<br />
(b)<br />
FSR ⇒ dampening<br />
10 -2 100 200 300 400 500 600 700 800 900 1000<br />
dP / dp ⊥ [GeV -1 ]<br />
10 -3<br />
10 -4<br />
10 -5<br />
10 -6<br />
POWHEG<br />
<strong>Pythia</strong> Default (Power)<br />
<strong>Pythia</strong> Damp, k = 2<br />
<strong>Pythia</strong> Damp, k = 1<br />
<strong>Pythia</strong> Wimpy<br />
tt producti<strong>on</strong><br />
10 -7<br />
M 2 = m 2 ⊥t<br />
p ⊥ [GeV]<br />
= m 2 t + p2 ⊥t<br />
Typically dP correct ISR<br />
behaviour<br />
dp 2 ∝ 1 k 2 Minterpolates 2 between “power” and<br />
“wimpy” (stop at scale<br />
⊥ p 2 ⊥ k 2 of Mhard 2 + pprocess):<br />
2 for coloured final state<br />
⊥<br />
No dampening for uncoloured dP ISR final state (W + W − ,...,SUSY).<br />
R. Corke & TS, Eur. Phys. dpJ. 2 ∝ 1 k 2 M 2<br />
⊥C69 (2010) p⊥<br />
2 k 2 M1<br />
2 + p⊥<br />
2<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 14/46
Multipart<strong>on</strong> interacti<strong>on</strong>s (MPI’s)<br />
Many part<strong>on</strong>-part<strong>on</strong> interacti<strong>on</strong>s<br />
per pp <strong>event</strong>: MPI.<br />
Problem:<br />
∫∫∫<br />
σ int =<br />
Most have small p ⊥ , ∼ 2 GeV<br />
⇒ not visible as separate jets,<br />
but c<strong>on</strong>tribute to <strong>event</strong> activity.<br />
Solid evidence that MPIs play<br />
central role for <strong>event</strong> structure.<br />
dx 1 dx 2 dp 2 ⊥ f 1(x 1 , p 2 ⊥ ) f 2(x 2 , p 2 ⊥ ) dˆσ<br />
dp 2 ⊥<br />
= ∞<br />
since ∫ dx f (x, p 2 ⊥ ) = ∞ and dˆσ/dp2 ⊥ ≈ 1/p4 ⊥ → ∞ for p ⊥ → 0.<br />
Requires empirical dampening at small p ⊥ ,<br />
owing to colour screening (prot<strong>on</strong> finite size).<br />
Many aspects bey<strong>on</strong>d pure <strong>the</strong>ory ⇒ model building.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 15/46
Multipart<strong>on</strong> interacti<strong>on</strong>s modelling<br />
Regularise cross secti<strong>on</strong> with p ⊥0 as free parameter<br />
dˆσ<br />
dp 2 ⊥<br />
∝ α2 s (p 2 ⊥ )<br />
p 4 ⊥<br />
→ α2 s (p 2 ⊥0 + p2 ⊥ )<br />
(p 2 ⊥0 + p2 ⊥ )2<br />
with energy dependence<br />
( ) ɛ<br />
p ⊥0 (E CM ) = p⊥0 ref × ECM<br />
ECM<br />
ref<br />
Matter profile in impact-parameter space<br />
gives time-integrated overlap which determines level of activity:<br />
simple Gaussian or more peaked variants<br />
ISR and MPI compete for beam momentum → PDF rescaling<br />
+ flavour effects (valence, qq pair compani<strong>on</strong>s, . . . )<br />
+ correlated primordial k ⊥ and colour in beam remnant<br />
Many part<strong>on</strong>s produced close in space–time<br />
⇒ colour rearrangement; reducti<strong>on</strong> of total string length<br />
⇒ steeper 〈p ⊥ 〉(n ch )<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 16/46
Interleaved evoluti<strong>on</strong><br />
• Transverse-momentum-ordered part<strong>on</strong> showers for ISR and FSR<br />
• MPI also ordered in p ⊥<br />
⇒ Allows interleaved evoluti<strong>on</strong> for ISR, FSR and MPI:<br />
(<br />
dPMPI<br />
dP<br />
=<br />
dp ⊥ dp ⊥<br />
(<br />
× exp −<br />
+ ∑ dP ISR<br />
dp ⊥<br />
∫ p⊥max<br />
(<br />
dPMPI<br />
p ⊥<br />
dp ′ ⊥<br />
+ ∑ )<br />
dP FSR<br />
dp ⊥<br />
+ ∑ dP ISR<br />
dp ′ ⊥<br />
Ordered in decreasing p ⊥ using “Sudakov” trick.<br />
Corresp<strong>on</strong>ds to increasing “resoluti<strong>on</strong>”:<br />
smaller p ⊥ fill in details of basic picture set at larger p ⊥ .<br />
Start from fixed hard interacti<strong>on</strong> ⇒ underlying <strong>event</strong><br />
No separate hard interacti<strong>on</strong> ⇒ minbias <strong>event</strong>s<br />
Possible to choose two hard interacti<strong>on</strong>s, e.g. W − W −<br />
+ ∑ ) )<br />
dP FSR<br />
dp<br />
⊥<br />
′ dp ⊥<br />
′<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 17/46
Rescattering<br />
Rescattering<br />
Often<br />
assume<br />
that<br />
MPI =<br />
...but<br />
should<br />
also<br />
include<br />
Same order in α s , ∼ same propagators, but<br />
• <strong>on</strong>e PDF weight less ⇒ smaller σ<br />
• <strong>on</strong>e jet less ⇒ QCD radiati<strong>on</strong> background 2 → 3 larger than 2 → 4<br />
⇒ will be tough to find direct evidence.<br />
Rescattering grows with number of “previous” scatterings:<br />
Tevatr<strong>on</strong><br />
LHC<br />
Min Bias QCD Jets Min Bias QCD Jets<br />
Normal scattering 2.81 5.09 5.19 12.19<br />
Single rescatterings 0.41 1.32 1.03 4.10<br />
Double rescatterings 0.01 0.04 0.03 0.15<br />
R. Corke & TS, JHEP 01 (2010) 035<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 18/46
An x-dependent prot<strong>on</strong> size – 1<br />
Normally assume that PDFs factorize in l<strong>on</strong>gitudinal and<br />
transverse space:<br />
f (x, r) = f (x) ρ(r)<br />
In c<strong>on</strong>tradicti<strong>on</strong> with<br />
• intuitive picture of part<strong>on</strong>s spreading out by cascade to lower x<br />
• Mueller’s dipole cascade<br />
• formally BFKL, Balitsky-JIMWLK, Colour Glass C<strong>on</strong>densate, . . .<br />
• Froissart-Martin σ tot ∝ ln 2 s<br />
by Gribov <strong>the</strong>ory related to r p ∝ ln(1/x)<br />
• generalized part<strong>on</strong> distributi<strong>on</strong>s, . . .<br />
For now address inelastic n<strong>on</strong>diffrative <strong>event</strong>s with ansatz:<br />
ρ(r, x) ∝ 1 (<br />
a 3 (x) exp − r 2 )<br />
(<br />
a 2 with a(x) = a 0 1 + a 1 ln 1 )<br />
(x)<br />
x<br />
a 1 ≈ 0.15 tuned to rise of σ ND<br />
a 0 tuned to value of σ ND , given PDF, p ⊥0 , . . . ]<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 19/46
An x-dependent prot<strong>on</strong> size – 2<br />
C<strong>on</strong>voluti<strong>on</strong> of two incoming prot<strong>on</strong>s gives impact parameter shape<br />
Õ(b; x 1 , x 2 ) = 1 (<br />
1<br />
π a 2 (x 1 ) + a 2 (x 2 ) exp b 2 )<br />
−<br />
a 2 (x 1 ) + a 2 (x 2 )<br />
b 2 eik [fm]<br />
1.2<br />
1.1<br />
1<br />
0.9<br />
0.8<br />
a1 = 0.00<br />
a1 = 0.15<br />
a1 = 1.00<br />
(b)<br />
0.7<br />
10 2 10 3 10 4 10 5<br />
E CM [GeV]<br />
norm<br />
(1 / N) dN / db MPI<br />
1.8<br />
1.6<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
(a)<br />
SG<br />
DY<br />
Z 0<br />
Z’<br />
0<br />
0 0.5 1 1.5 2 2.5<br />
norm<br />
b MPI<br />
C<strong>on</strong>sequence: collisi<strong>on</strong>s at large x will have to happen at small b,<br />
and hence fur<strong>the</strong>r large-to-medium-x MPIs are enhanced,<br />
while low-x part<strong>on</strong>s are so spread out that it plays less role.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 20/46
Diffracti<strong>on</strong> – 1<br />
Diffracti<strong>on</strong><br />
Ingelman-Schlein:<br />
Ingelman-Schlein:<br />
Pomer<strong>on</strong><br />
Pomer<strong>on</strong><br />
as<br />
as<br />
hadr<strong>on</strong><br />
hadr<strong>on</strong><br />
with<br />
with<br />
part<strong>on</strong>ic<br />
part<strong>on</strong>ic<br />
c<strong>on</strong>tent<br />
c<strong>on</strong>tent<br />
Diffractive Diffractive <strong>event</strong> <strong>event</strong> = (Pomer<strong>on</strong> = (Pomer<strong>on</strong> flux) flux) × (IPp × (IPp collisi<strong>on</strong>) collisi<strong>on</strong>)<br />
p<br />
p<br />
Used e.g. in<br />
POMPYT<br />
IP<br />
POMWIG<br />
p<br />
PHOJET<br />
1) σ SD 1) σand SD and σ DD σ DD taken taken from from existing parametrizati<strong>on</strong>or or set by user.<br />
2) Shape 2) f IP/p of(x Pomer<strong>on</strong> IP , t) ⇒ diffractive distributi<strong>on</strong> mass inside spectrum, a prot<strong>on</strong>, p ⊥ fof IP/p prot<strong>on</strong> (x IP ,t) out.<br />
gives3) diffractive Smooth transiti<strong>on</strong> mass spectrum from simple and scattering model low p ⊥ masses of prot<strong>on</strong>.<br />
IPp with<br />
3) Atfull lowpp masses machinery: retainmultiple old framework, interacti<strong>on</strong>s, withpart<strong>on</strong> l<strong>on</strong>gitudinal showers, string(s). etc.<br />
Above 4) 10 Choice GeVbetween begin smooth 5 Pomer<strong>on</strong> transiti<strong>on</strong> PDFs. to IPp handled with full pp<br />
machinery: 5) Free multiple parameter interacti<strong>on</strong>s, σ IPp neededpart<strong>on</strong> fix 〈n showers, interacti<strong>on</strong>s<br />
beam 〉 = σ jet<br />
remnants, /σ IPp . . . . .<br />
4) Choice between 5 Pomer<strong>on</strong> PDFs.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 21/46
Diffracti<strong>on</strong> – 2<br />
Beate Heinemann, MB/UE Working Group (also Sparsh Navin)<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 22/46
The Lund String Model<br />
In QCD, for large charge separati<strong>on</strong>, field lines seem to be<br />
compressed to tubelike regi<strong>on</strong>(s) ⇒ string(s)<br />
by self-interacti<strong>on</strong>s am<strong>on</strong>g soft glu<strong>on</strong>s in <strong>the</strong> “vacuum”.<br />
Gives linear c<strong>on</strong>finement with string tensi<strong>on</strong>:<br />
F (r) ≈ c<strong>on</strong>st = κ ≈ 1 GeV/fm ⇐⇒ V (r) ≈ κr<br />
String breaks into hadr<strong>on</strong>s al<strong>on</strong>g its length,<br />
with roughly uniform probability in rapidity,<br />
by formati<strong>on</strong> of new qq pairs that screen endpoint colours.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 23/46
The Lund Glu<strong>on</strong> Picture<br />
Glu<strong>on</strong> = kink <strong>on</strong> string<br />
Force ratio glu<strong>on</strong>/ quark = 2,<br />
cf. QCD N C /C F = 9/4, → 2 for N C → ∞<br />
No new parameters introduced for glu<strong>on</strong> jets!<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 24/46
Charged Multiplicity Distributi<strong>on</strong> – 1<br />
P n<br />
3<br />
(a)<br />
10 CMS NSD CMS Data<br />
4<br />
7 TeV (x10 )<br />
PYTHIA D6T<br />
2<br />
10<br />
PYTHIA 8<br />
PHOJET<br />
10<br />
1<br />
2<br />
2.36 TeV (x10 )<br />
P n<br />
3<br />
(b)<br />
10 CMS NSD CMS Data<br />
4<br />
7 TeV (x10 )<br />
PYTHIA D6T<br />
2<br />
10<br />
PYTHIA 8<br />
PHOJET<br />
10<br />
1<br />
2<br />
2.36 TeV (x10 )<br />
-1<br />
10<br />
0.9 TeV (x1)<br />
-1<br />
10<br />
0.9 TeV (x1)<br />
-2<br />
10<br />
-2<br />
10<br />
-3<br />
10<br />
-3<br />
10<br />
-4<br />
10<br />
-5<br />
10<br />
|η| < 2.4<br />
p > 0<br />
T<br />
-4<br />
10<br />
-5<br />
10<br />
|η| < 2.4<br />
p > 0.5 GeV/c<br />
T<br />
-6<br />
10<br />
0 20 40 60 80 100 120 140 160 180<br />
n<br />
-6<br />
10<br />
0 20 40 60 80 100<br />
n<br />
We need to understand both average and spread.<br />
“Ankle”: transiti<strong>on</strong> from <strong>on</strong>e to ≥ 2 interacti<strong>on</strong>s?<br />
High multiplicity tail driven by abundant MPI rate.<br />
Broad spectrum of tunes even within given model.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 25/46
Charged Multiplicity Distributi<strong>on</strong> – 2<br />
“Ankle” also present in ALICE and ATLAS data.<br />
Benchmark comparis<strong>on</strong>s ALICE/ATLAS/CMS generally successful.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 26/46
Charged Transverse Momentum Distributi<strong>on</strong><br />
〈p ⊥ 〉 sensitive to colour correlati<strong>on</strong>s between MPIs!<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 27/46
Some in-house tunes: “handmade”<br />
Parameter 2C 2M 4C 4Cx<br />
SigmaProcess:alphaSvalue 0.135 0.1265 0.135 0.135<br />
SpaceShower:rapidityOrder <strong>on</strong> <strong>on</strong> <strong>on</strong> <strong>on</strong><br />
SpaceShower:alphaSvalue 0.137 0.130 0.137 0.137<br />
SpaceShower:pT0Ref 2.0 2.0 2.0 2.0<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:alphaSvalue 0.135 0.127 0.135 0.135<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:pT0Ref 2.320 2.455 2.085 2.15<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:ecmPow 0.21 0.26 0.19 0.19<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:bProfile 3 3 3 4<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:expPow 1.60 1.15 2.00 N/A<br />
Multipart<strong>on</strong>Interacti<strong>on</strong>s:a1 N/A N/A N/A 0.15<br />
BeamRemnants:rec<strong>on</strong>nectRange 3.0 3.0 1.5 1.5<br />
SigmaDiffractive:dampen off off <strong>on</strong> <strong>on</strong><br />
SigmaDiffractive:maxXB N/A N/A 65 65<br />
SigmaDiffractive:maxAX N/A N/A 65 65<br />
SigmaDiffractive:maxXX N/A N/A 65 65<br />
R. Corke & TS, JHEP 03 (2011) 032, JHEP 05 (2011) 009<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 28/46
Systematic tuning<br />
RIVET: collecti<strong>on</strong> of experimental data,<br />
toge<strong>the</strong>r with matching analysis routines.<br />
Can be applied to <strong>generator</strong> <strong>event</strong>s<br />
for comparis<strong>on</strong> with data.<br />
PROFESSOR: parameter tuning<br />
in multidimensi<strong>on</strong>al parameter space.<br />
Generate large <strong>event</strong> samples at O(n 2 ) random points<br />
in (reas<strong>on</strong>able) parameter space. Slow!<br />
Analyze <strong>event</strong>s and fill relevant histograms.<br />
For each bin of each histogram parametrize<br />
n∑<br />
X MC = A 0 + B i p i<br />
i=1<br />
n∑ ∑n−1<br />
n∑<br />
C i pi 2 + D ij p i p j<br />
i=1 i=1 j=i+1<br />
Do minimizati<strong>on</strong> of χ 2 to parametrized results. Fast!<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 29/46
Prepackaged tunes<br />
Tune:pp selects prepackaged set of parameter changes.<br />
1 original values before any tunes<br />
2 Tune 1<br />
3 Tune 2C (CTEQ 6L1)<br />
4 Tune 2M (MRST LO**)<br />
5 Tune 4C<br />
6 Tune 4Cx<br />
7 ATLAS MB tune A2-CTEQ6L1<br />
8 ATLAS MB tune A2-MSTW2008LO<br />
9 ATLAS UE tune AU2-CTEQ6L1<br />
10 ATLAS UE tune AU2-MSTW2008LO<br />
11 ATLAS UE tune AU2-CT10<br />
12 ATLAS UE tune AU2-MRST2007LO*<br />
13 ATLAS UE tune AU2-MRST2007LO**<br />
Tune:ee similar but less extensive for FSR and hadr<strong>on</strong>izati<strong>on</strong>.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 30/46
MCnet review<br />
MCnet Marie Curie network 2007 – 2010 worked <strong>on</strong> <strong>generator</strong>s<br />
and produced review<br />
“General-purpose <strong>event</strong> <strong>generator</strong>s for LHC physics”,<br />
A. Buckley et al. (MCnet), Phys. Rep. 504 (2011) 145,<br />
which compares <strong>Pythia</strong> 8.145 tune 4C, Herwig++, Sherpa:<br />
Fracti<strong>on</strong> of <strong>event</strong>s<br />
MC/data<br />
0.05<br />
0.04<br />
0.03<br />
0.02<br />
0.01<br />
0<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
Pseudorapidity, η, of3rdjet<br />
CDF<br />
<strong>Pythia</strong> 8.145<br />
Sherpa 1.2.3<br />
Herwig++ 2.5.0<br />
-4 -3 -2 -1 0 1 2 3 4<br />
η3<br />
]<br />
-1<br />
[rad<br />
Δφ<br />
d σ σ 1 d<br />
10<br />
1<br />
-1<br />
10<br />
-2<br />
10<br />
-3<br />
10<br />
7000 GeV pp Jets<br />
Di-jet Δφ (200 < pTlead < 300)<br />
CMS<br />
<strong>Pythia</strong> 8<br />
<strong>Pythia</strong> 8 (Tune 2C)<br />
<strong>Pythia</strong> 8 (Tune 2M)<br />
<strong>Pythia</strong> 8 (Tune 4C)<br />
CMS_2011_S8950903<br />
<strong>Pythia</strong> 8.170<br />
2 2.5 3<br />
Δφ [rad]<br />
Ratio to CMS<br />
1.5<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 31/46<br />
mcplots.cern.ch Rivet 1.8.1, ≥ 300k <strong>event</strong>s
MCnet – sec<strong>on</strong>d round<br />
MARIE CURIE ACTIONS<br />
M<strong>on</strong>te Carlo<br />
training studentships<br />
Manchester<br />
L<strong>on</strong>d<strong>on</strong><br />
Durham<br />
Lund<br />
Louvain<br />
Göttingen<br />
CERN Karlsruhe<br />
MCnet funded 2013 – 2016<br />
Projects:<br />
<strong>Pythia</strong> (incl. Vincia)<br />
Herwig<br />
Sherpa<br />
MadGraph<br />
Ariadne (incl. HEJ)<br />
CEDAR (Rivet, Professor)<br />
3-6 m<strong>on</strong>th fully funded studentships for current PhD<br />
students at <strong>on</strong>e of <strong>the</strong> MCnet nodes. An excellent opportunity<br />
to really understand and improve <strong>the</strong> M<strong>on</strong>te Carlos you use!<br />
Applicati<strong>on</strong> rounds every 3 m<strong>on</strong>ths.<br />
funded by:<br />
for details go to:<br />
www.m<strong>on</strong>tecarl<strong>on</strong>et.org<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 32/46
MCPLOTS<br />
Repository of comparis<strong>on</strong>s between various tunes and data,<br />
mainly based <strong>on</strong> RIVET for data analysis,<br />
see http://mcplots.cern.ch/.<br />
Part of <strong>the</strong> LHC@home 2.0 platform for home computer<br />
participati<strong>on</strong>.<br />
dN ch /dη<br />
1/N ev<br />
8<br />
7<br />
7000 GeV pp Minimum Bias<br />
Charged Particle η Distributi<strong>on</strong> (N<br />
ch<br />
> 2, p<br />
T<br />
> 0.1 GeV/c)<br />
ATLAS<br />
<strong>Pythia</strong> 8<br />
<strong>Pythia</strong> 8 (Tune 2C)<br />
<strong>Pythia</strong> 8 (Tune 2M)<br />
<strong>Pythia</strong> 8 (Tune 4C)<br />
dN ch /dη<br />
1/N ev<br />
3.5<br />
3<br />
7000 GeV pp Minimum Bias<br />
Charged Particle η Distributi<strong>on</strong> (N<br />
ch<br />
> 1, p<br />
T<br />
> 0.5 GeV/c)<br />
ATLAS<br />
<strong>Pythia</strong> 8<br />
<strong>Pythia</strong> 8 (Tune 2C)<br />
<strong>Pythia</strong> 8 (Tune 2M)<br />
<strong>Pythia</strong> 8 (Tune 4C)<br />
6<br />
2.5<br />
5<br />
2<br />
4<br />
3<br />
2<br />
ATLAS_2010_S8918562<br />
<strong>Pythia</strong> 8.153<br />
-2 0 2<br />
η<br />
mcplots.cern.ch<br />
1.5<br />
1<br />
ATLAS_2010_S8918562<br />
<strong>Pythia</strong> 8.153<br />
-2 0 2<br />
η<br />
mcplots.cern.ch<br />
1.5<br />
Ratio to ATLAS<br />
1.5<br />
Ratio to ATLAS<br />
1<br />
1<br />
0.5<br />
-2 0 2<br />
0.5<br />
-2 0 2<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 33/46
BSM physics 1: R-parity violati<strong>on</strong><br />
BSM Physics 1: R-parity violati<strong>on</strong><br />
Encountered in R-parity violating SUSY decays ˜χ 0 1 → uds,<br />
or when 2 valence quarks kicked out of prot<strong>on</strong> beam<br />
d (g)<br />
juncti<strong>on</strong><br />
lab frame<br />
d (g)<br />
rest frame<br />
J<br />
x<br />
u (r)<br />
120 ◦<br />
120 ◦ J<br />
120 ◦<br />
u (r)<br />
s (b)<br />
z<br />
d<br />
s<br />
s (b)<br />
q 4 flavour space<br />
q 4<br />
More complicated<br />
(but ≈solved) with<br />
q 5<br />
q 3 q 3 q 2 q 2 qq 1 qq 1 u glu<strong>on</strong> emissi<strong>on</strong> and<br />
q 5<br />
massive quarks<br />
P. Skands & TS, Nucl. Phys. B659 (2003) 243<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 34/46
BSM physics 2: BSM R-hadr<strong>on</strong>s Physics 2: R-hadr<strong>on</strong>s<br />
What if coloured (SUSY) particle like ˜g or ˜t 1 is l<strong>on</strong>g-lived?<br />
⋆ Formati<strong>on</strong> of R-hadr<strong>on</strong>s<br />
˜g q q ˜t 1 q “mes<strong>on</strong>s”<br />
˜g q q q ˜t 1 qq “bary<strong>on</strong>s”<br />
˜g g<br />
“glueballs”<br />
⋆ C<strong>on</strong>versi<strong>on</strong> between R-hadr<strong>on</strong>s<br />
by “low-energy” interacti<strong>on</strong>s with matter:<br />
˜g u d+p→ ˜g u u d + π + irreversible<br />
⋆ Displaced vertices if finite lifetime, or else<br />
⋆ punch-through: σ ≈ σ had but<br />
∆E < ∼ 1GeV≪ E kin,R<br />
A.C. Kraan, Eur. Phys. J. C37 (2004) 91;<br />
M. Fairbairn et al., Phys. Rep. 438 (2007) 1<br />
CMS, arXiv:1101.1645<br />
Partly <strong>event</strong> generati<strong>on</strong>, partly detector simulati<strong>on</strong>.<br />
Public add-<strong>on</strong> in PYTHIA 6, now integrated part of PYTHIA 8.<br />
Can also be applied to n<strong>on</strong>-SUSY l<strong>on</strong>g-lived “hadr<strong>on</strong>s”.<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 35/46
BSM physics 3: Hidden Valley (Secluded Sector) – 1<br />
BSM Physics 3: Hidden Valley (Secluded Sector)<br />
What if new gauge groups at low energy scales, hidden by<br />
potential barrier or weak couplings? (M. Strassler & K. Zurek, . . . )<br />
Complete framework implemented in PYTHIA:<br />
⋆ New gauge group ei<strong>the</strong>r Abelian U(1) or n<strong>on</strong>-Abelian SU(N)<br />
⋆ 3 alternative producti<strong>on</strong> mechanisms<br />
1) massive Z ′ : qq → Z ′ → q v q v<br />
2) kinetic mixing: qq → γ → γ v → q v q v<br />
3) massive F v charged under both SM and hidden group<br />
⋆ Interleaved shower in<br />
QCD, QED and HV sectors:<br />
add q v → q v γ v (and F v )<br />
or q v → q v g v , g v → g v g v ,<br />
which gives recoil effects<br />
also in visible sector<br />
L. Carl<strong>on</strong>i & TS, JHEP 09 (2010) 105;<br />
L. Carl<strong>on</strong>i, J. Rathsman & TS, JHEP 04 (2011) 091<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 36/46
BSM physics 3: Hidden Valley (Secluded Sector) – 2<br />
⋆ Hidden Valley particles may remain invisible, or . . .<br />
⋆ Broken U(1): γ v acquire mass, radiated γ v sdecayback<br />
γ v → γ → ff with BRs as phot<strong>on</strong> (⇒ lept<strong>on</strong> pairs!)<br />
⋆ SU(N): hadr<strong>on</strong>izati<strong>on</strong>inhiddensector,withfullstringfragmentati<strong>on</strong>,<br />
permitting up to 8 different q v flavours and 64 q v q v mes<strong>on</strong>s,<br />
but for now assumed degenerate in mass, so <strong>on</strong>ly distinguish<br />
– off-diag<strong>on</strong>al, flavour-charged, stable & invisible<br />
–diag<strong>on</strong>al,candecaybackq v q v → ff<br />
Even when tuned to same average activity, hope to separate U(1) and SU(N):<br />
#(N v )<br />
0.4<br />
0.35<br />
0.3<br />
0.25<br />
0.2<br />
0.15<br />
0.1<br />
0.05<br />
0<br />
Ab<br />
n<strong>on</strong>-Ab.<br />
0 2 4 6 8 10<br />
N v<br />
#(cos θ)<br />
0.8<br />
0.7<br />
0.6<br />
0.5<br />
0.4<br />
0.3<br />
0.2<br />
0.1<br />
Ab.<br />
n<strong>on</strong>-Ab.<br />
0<br />
0 0.5 1 1.5 2 2.5 3<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 37/46<br />
cos θ
W/Z emissi<strong>on</strong> in showers: motivati<strong>on</strong> – 1<br />
While showers work for W/Z + 1 jet<br />
<strong>the</strong>y fail for W/Z + ≥ 2 jets:<br />
σ(W + ≥ Njet jets) [pb]<br />
MC/data<br />
10 3 Inclusive Jet Multiplicity<br />
10 2<br />
10 1<br />
1<br />
2<br />
1.5<br />
1<br />
0.5<br />
0<br />
ATLAS data<br />
<strong>Pythia</strong>8 default<br />
<strong>Pythia</strong>8 ME2PS<br />
<strong>Pythia</strong>8 ME3PS<br />
p jet<br />
⊥ > 20 GeV<br />
0 1 2 3 4 5<br />
N jet<br />
(CKKW-L merging by Stefan Prestel)<br />
dσ/dp ⊥ [pb/GeV]<br />
MC/data<br />
dσ/d∆φ [pb]<br />
MC/data<br />
10 −1 1<br />
10 −2<br />
Third Jet p ⊥<br />
ATLAS data<br />
<strong>Pythia</strong>8 default<br />
<strong>Pythia</strong>8 ME2PS<br />
<strong>Pythia</strong>8 ME3PS<br />
p jet<br />
⊥ > 20 GeV<br />
1.8<br />
1.6<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
20 40 60 80 100 120<br />
p ⊥ [GeV]<br />
250<br />
200<br />
150<br />
100<br />
50<br />
0<br />
1.4<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
Azimuthal Distance of Leading Jets<br />
ATLAS data<br />
<strong>Pythia</strong>8 default<br />
<strong>Pythia</strong>8 ME2PS<br />
<strong>Pythia</strong>8 ME3PS<br />
p jet<br />
⊥ > 20 GeV<br />
0 0.5 1 1.5 2 2.5 3<br />
∆φ(First Jet, Sec<strong>on</strong>d Jet)<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 38/46
W/Z emissi<strong>on</strong> in showers: motivati<strong>on</strong> – 2<br />
Q: So what is unique about W/Z + 2 jets?<br />
A: First order in which core “hard process”<br />
cannot be chosen as W/Z producti<strong>on</strong>!<br />
u<br />
g<br />
c<br />
W −<br />
u<br />
W +<br />
c<br />
s<br />
u<br />
s<br />
u<br />
W −<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 39/46
dummy<br />
W/Z emissi<strong>on</strong> in showers: motivati<strong>on</strong> – 3<br />
Leading electroweak correcti<strong>on</strong>s of type α w ln 2 (Q 2 /M 2 W ):<br />
Bloch-Nordsieck violati<strong>on</strong>: real/virtual n<strong>on</strong>-cancellati<strong>on</strong><br />
W/Z in final state is ano<strong>the</strong>r class of <strong>event</strong>s<br />
⇒ large negative correcti<strong>on</strong> to no-W/Z cross secti<strong>on</strong>s!<br />
Figure S. 19: Moretti, The effects M.R. of <strong>the</strong> Nolten O(αSα 2 and W )correcti<strong>on</strong>s[bottom]relativeto<strong>the</strong>fullLOresults(i.e.,<br />
D.A. Ross, Nucl. Phys. B759 (2006) 50<br />
through O(αS 2 + α Sα EW + αEW 2 )) [top] for <strong>the</strong> case of LHC for three choices of PDFs. They<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 40/46
W/Z emissi<strong>on</strong> in showers: progress<br />
Need to start from QCD 2 → 2 and add shower emissi<strong>on</strong> of W/Z:<br />
• FSR: final-state radiati<strong>on</strong> q → q ′ W ± , q → q Z 0 .<br />
• ISR: partly already covered by W/Z producti<strong>on</strong> processes.<br />
Project at a primitive stage; for now <strong>on</strong>ly e + e − annihilati<strong>on</strong>.<br />
Formulated as dipole emissi<strong>on</strong>, interleaved with QCD emissi<strong>on</strong>s<br />
For W emissi<strong>on</strong> interference between two dipole ends<br />
is replaced by interference between two flavour topologies:<br />
u<br />
e −<br />
e + γ u<br />
u<br />
e −<br />
W − e + γ d<br />
d<br />
d<br />
u<br />
W −<br />
d<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 41/46
Cloud #1 : Bose-Einstein Effects<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 42/46
Cloud #2: Flavour Compositi<strong>on</strong><br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 43/46
Cloud #3: The Ridge<br />
(d) CMS N ≥ 110, 1.0GeV/c
Strengths and weaknesses<br />
(subjectively, absolute or compared with Herwig++ and Sherpa)<br />
+ fair selecti<strong>on</strong> og built-in processes ready to go<br />
− no built-in ME <strong>generator</strong> (need e.g. MadGraph)<br />
− matching/merging/NLO usually not automatic<br />
± part<strong>on</strong> showers of comparable quality<br />
+ most sophisticated & robust MPI framework<br />
+ models for diffractive <strong>event</strong>s<br />
+ most sophisticated & robust hadr<strong>on</strong>izati<strong>on</strong> framework<br />
− no QED in hadr<strong>on</strong>ic decays (need e.g. Photos)<br />
+ interfaces & many opti<strong>on</strong>s ⇒ flexible<br />
+ user-friendly, well documented, many examples<br />
+ generally comparing well with LHC data . . .<br />
− . . . but known discrepancies, e.g. flavour compositi<strong>on</strong><br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 45/46
Summary and outlook<br />
<strong>Pythia</strong> 6 is winding down<br />
currently supported but not developed<br />
not supported after l<strong>on</strong>g shutdown 2013–14<br />
<strong>Pythia</strong> 8 is <strong>the</strong> natural successor<br />
is (sadly!) not yet quite up to speed in all respects<br />
but for most physics clearly better than <strong>Pythia</strong> 6<br />
Advise/plea to experimentalists<br />
gradually step up <strong>Pythia</strong> 8 usage to gain experience<br />
if you want new features <strong>the</strong>n be prepared to use <strong>Pythia</strong> 8<br />
provide feedback, both what works and what does not<br />
make relevant data available in RIVET<br />
do your own tunes to data and tell outcome<br />
News list:<br />
http://www.hepforge.org/lists/listinfo/pythia8-announce<br />
The work is never d<strong>on</strong>e!<br />
Torbjörn Sjöstrand <str<strong>on</strong>g>Progress</str<strong>on</strong>g> <strong>on</strong> <strong>the</strong> <strong>Pythia</strong> 8 <strong>event</strong> <strong>generator</strong> slide 46/46