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2011 QCD and High Energy Interactions - Rencontres de Moriond ...

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TEVATRON RESULTS ON MULTI-PARTON INERACTIONS<br />

N.B. SKACHKOV<br />

Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna, Russia<br />

The D0 experiment used a sample of γ + 3 jets events (collected in RunII with an integrated<br />

luminosity L about 1fb −1 ) to <strong>de</strong>termine the fraction of events with double parton (DP) scattering<br />

in a single p¯p collision at √ s = 1.96 TeV. The DP fraction (fDP) <strong>and</strong> effective cross section<br />

(σeff), a process-in<strong>de</strong>pen<strong>de</strong>nt scale parameter related to the parton <strong>de</strong>nsity insi<strong>de</strong> the nucleon,<br />

are measured in three intervals of the second (or<strong>de</strong>red in pT) jet transverse momentum p jet2<br />

T<br />

within the range 15 ≤ p jet2<br />

T<br />

≤ 30 GeV. In this range, fDP varies between 0.23 ≤ fDP ≤ 0.47,<br />

while σeff has the average value σ ave<br />

eff = 16.4 ± 0.3(stat) ± 2.3(syst) mb. The samples of inclusive<br />

γ + 2 jet <strong>and</strong> γ + 3 jet events are also used to measure cross sections as a function<br />

of the azimuthal angle between the transverse momentum (pT) of the γ+leading jet system<br />

<strong>and</strong> pT of the other jet for γ + 2 jet, or pT sum of the two other jets for γ + 3 jet events. The<br />

results are compared to different mo<strong>de</strong>ls of multiple parton interactions (MPI) in the pythia<br />

<strong>and</strong> sherpa Monte Carlo (MC) generators. The data strongly indicate a contribution from<br />

events with double parton interactions <strong>and</strong> are in good agreement with predictions provi<strong>de</strong>d<br />

by the new pythia MPI mo<strong>de</strong>ls with pT-or<strong>de</strong>red showers <strong>and</strong> by sherpa with the <strong>de</strong>fault<br />

MPI mo<strong>de</strong>l. The γ + 2 jet data are also used to <strong>de</strong>termine the fraction of events with DP<br />

interactions as a function of the azimuthal angle binned in the second jet pT.<br />

It is commonly assumed that high energy inelastic scattering of nucleons occurs through a<br />

single parton-parton interaction <strong>and</strong> the contribution from double (A <strong>and</strong> B) parton collisions<br />

(see its schematic view in Fig.1 a)) is a negligible one. The DP cross section can be <strong>de</strong>fined as:<br />

σDP ≡ σA σ B<br />

σeff<br />

Here σA <strong>and</strong> σB are the cross sections of two in<strong>de</strong>pen<strong>de</strong>nt partonic scatterings A <strong>and</strong> B. The<br />

normalization factor σeff (it has the units of cross section) is a process-in<strong>de</strong>pen<strong>de</strong>nt parameter<br />

that can be related to the parton spatial <strong>de</strong>nsity (see 1,2,3,4,5,6 <strong>and</strong> the references to basic<br />

theoretical papers presented there).<br />

Two years ago there were only four published <strong>de</strong>dicated measurements of double parton<br />

scattering in hadron collisions: the AFS experiment in pp collisions at √ s = 63 GeV 1 , UA2 in<br />

p¯p collisions at √ s = 630 GeV 2 <strong>and</strong> by CDF in p¯p collisions at √ s = 1.8 TeV 3 , 4 . The four-jet<br />

final state has been used in the first three measurements while the last, the most precise one<br />

CDF measurement 4 , have used γ/π0 + 3 jets events (accumulated with L =16 pb−1 ) having<br />

the pT of the second jet (or<strong>de</strong>red in pT) within the interval 5 < p jet2<br />

< 7 GeV <strong>and</strong> pγ<br />

T T<br />

GeV. The substitution of one jet by photon leads to an or<strong>de</strong>r of magnitu<strong>de</strong> improvement in the<br />

ratio of the signal to background over the earlier CDF study 4 . A new technique for extracting<br />

σeff was proposed in 4 . It uses only quantities <strong>de</strong>termined from data analysis <strong>and</strong> minimizes the<br />

impact of theoretical assumptions used in previous three measurements with a 4-jet final state<br />

1,2,3 .<br />

(1)<br />

> 16

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