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<strong>Summary</strong> <strong>of</strong> <strong>Dalitz</strong> <strong>Analysis</strong><br />
Ignacio Bediaga<br />
Physics at <strong>LHCb</strong> Bad Honnef<br />
26-29 April 2011
<strong>Dalitz</strong> <strong>Analysis</strong><br />
Convener: Tim Gershon<br />
1- Theoretical issues in <strong>Dalitz</strong> plot analysis, Christoph Hanhart<br />
2- Charm <strong>Dalitz</strong> plot analyses, Marco Pappagallo<br />
3- Model independent approaches to DP analyses, Carla Gobel<br />
4- Study <strong>of</strong> CP violation in D+->K+K-pi+, Hamish Gordon<br />
5- <strong>Dalitz</strong> plot analyses <strong>of</strong> charmless B decays, Jussara Miranda<br />
6- Models for charmless B decay <strong>Dalitz</strong> plots, Leonard Lesniak<br />
7- B->Dhh' <strong>Dalitz</strong> plot analyses, Anton Poluektov<br />
8- Use <strong>of</strong> binned <strong>Dalitz</strong> plots to measure gamma at <strong>LHCb</strong>,<br />
Daniel Johnson<br />
9- Four-body Amplitude Analyses at <strong>LHCb</strong>, Dr. Paras Naik
<strong>Summary</strong> <strong>of</strong> the section<br />
Why are we so interested in <strong>Dalitz</strong> plot<br />
What we are thinking to do with <strong>LHCb</strong> data.<br />
1- short term – Mirandizing.<br />
2- long term – amplitude analysis.<br />
Three body decays analysis<br />
Charm decays.<br />
Beauty to Charm.<br />
Beauty to Charmless.
Why are we so interested in <strong>Dalitz</strong> plot<br />
Phase space plane to write<br />
down the dynamical | M | 2
Other than interferences between Tree and Penguin<br />
Weak phase<br />
s<br />
K -<br />
B -<br />
γ<br />
K - ρ 0 ,<br />
f 0<br />
ρ 0 , f 0<br />
Each decay with intermediary states that interfering<br />
among them.
The existence <strong>of</strong> a weak phase difference, imply in<br />
CP violation signature in <strong>Dalitz</strong> plot.<br />
No CPV No weak phase differences.
Outline<br />
1- short term – Mirandizing.<br />
2- long term – amplitude analysis.<br />
Three body decays analysis<br />
Charm decays.<br />
Beauty to Charm.<br />
Beauty to Charmless.
Outline<br />
1-<br />
2- long term – amplitude analysis.<br />
Three body decays analysis<br />
Charm decays.<br />
Beauty to Charm.<br />
Beauty to Charmless.
Three body problem:<br />
three hadron interaction.<br />
Fortunately heavy three body decays are dominated by<br />
intermediary two body resonance state.<br />
However in heavy three body decays, the bachelor particle<br />
may have or not important role in final state interaction
Physics opportunities & challenges<br />
Any quantitative information on 3-body decay depends on amplitude<br />
analysis is at some level model dependent<br />
ISOBARIC MODEL: coherent sum <strong>of</strong> individual resonant &<br />
non resonant contributions<br />
A(s 12<br />
,s 23<br />
) = ∑<br />
j ( a j ei k<br />
M j<br />
) + a NR<br />
e i NR<br />
M<br />
NR<br />
J<br />
M j<br />
= BW j<br />
X <br />
j<br />
Breit Wigner X angular function<br />
c<br />
M<br />
NR<br />
= 1 for non resonant<br />
There is a need to understand better<br />
the 3-body dynamics and built a<br />
more reliable model
Three body problem:<br />
three hadron interaction.<br />
However in charm three body decays, the bachelor particle<br />
can play (or not) important role in final state interaction<br />
S wave partial wave analysis (PWA)<br />
D→K Vs K scattering Ds→ Vs scattering
Outline<br />
1-<br />
2-<br />
Three body decays analysis<br />
Charm decays.<br />
Beauty to Charm.<br />
Beauty to Charmless.
<strong>Summary</strong><br />
<strong>Dalitz</strong> plot allows:<br />
to have a clear picture <strong>of</strong> the quantum interferences.<br />
Coherent sum <strong>of</strong> amplitudes.<br />
No CPV no weak phase difference.<br />
What we are thinking to do with <strong>LHCb</strong> data.<br />
short term – Mirandizing.<br />
long term – amplitude analysis.<br />
Many opportunities for:<br />
Charm decays.<br />
Beauty to Charm.<br />
Beauty to Charmless.
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