2011 QCD and High Energy Interactions - Rencontres de Moriond ...
2011 QCD and High Energy Interactions - Rencontres de Moriond ...
2011 QCD and High Energy Interactions - Rencontres de Moriond ...
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The measurement of the differential cross section with respect to ∆φ <strong>and</strong> predictions for the<br />
SP contributions to this cross sections in different mo<strong>de</strong>ls was used to <strong>de</strong>termine the fraction<br />
of γ + 2 jet events which originate from DP interactions as a function of the second parton<br />
interaction scale (p jet2<br />
T ) <strong>and</strong> of the ∆φ angle 6 . Using the uniform distribution for the DP mo<strong>de</strong>l<br />
template <strong>and</strong> sherpa-1 as the SP mo<strong>de</strong>l template, the fit of the ∆φ distributions measured<br />
in data was done to obtain the fraction of DP events with a maximum likelihood fit. The<br />
distributions in data, SP, <strong>and</strong> DP mo<strong>de</strong>ls, as well as a sum of the SP <strong>and</strong> DP distributions,<br />
weighted with their respective fractions, are shown in plots a) - c) of Fig.4 for the three p jet2<br />
T<br />
intervals. One can see that the sum of the SP <strong>and</strong> DP predictions reproduces the data very well.<br />
φ<br />
Δ<br />
/d<br />
2j<br />
γ<br />
σ<br />
) d<br />
2j<br />
γ<br />
σ<br />
(1/<br />
-1<br />
10<br />
-2<br />
10<br />
-1<br />
jet2<br />
Dé, L=1.0 fb 15 < p < 20 GeV<br />
T<br />
1 Data<br />
DP mo<strong>de</strong>l<br />
SP mo<strong>de</strong>l<br />
γ2j<br />
γ2j<br />
DP fdp<br />
+ SP(1-f )<br />
dp<br />
γ2j<br />
fdp<br />
= 0.116 ± 0.010<br />
0 0.5 1 1.5 2 2.5 3<br />
a) Δφ<br />
(rad)<br />
φ<br />
Δ<br />
/d<br />
2j<br />
γ<br />
σ<br />
) d<br />
2j<br />
γ<br />
σ<br />
(1/<br />
-1<br />
10<br />
-2<br />
10<br />
-1<br />
jet2<br />
Dé, L=1.0 fb 20 < p < 25 GeV<br />
T<br />
1 Data<br />
DP mo<strong>de</strong>l<br />
SP mo<strong>de</strong>l<br />
γ2j<br />
γ2j<br />
DP fdp<br />
+ SP(1-f )<br />
dp<br />
γ2j<br />
fdp<br />
= 0.050 ± 0.012<br />
0 0.5 1 1.5 2 2.5 3<br />
b) Δφ<br />
(rad)<br />
φ<br />
Δ<br />
/d<br />
2j<br />
γ<br />
σ<br />
) d<br />
2j<br />
γ<br />
σ<br />
(1/<br />
-1<br />
10<br />
-2<br />
10<br />
-1<br />
jet2<br />
Dé, L=1.0 fb 25 < p < 30 GeV<br />
T<br />
1 Data<br />
DP mo<strong>de</strong>l<br />
SP mo<strong>de</strong>l<br />
γ2j<br />
γ2j<br />
DP fdp<br />
+ SP(1-f )<br />
dp<br />
γ2j<br />
fdp<br />
= 0.022 ± 0.008<br />
0 0.5 1 1.5 2 2.5 3<br />
c) Δφ<br />
(rad)<br />
Fraction of DP events<br />
0.9<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 />
-1<br />
Dé, L=1.0 fb<br />
jet2<br />
15 < p < 20 GeV<br />
T<br />
jet2<br />
20 < p < 25 GeV<br />
T<br />
jet2<br />
25 < p < 30 GeV<br />
T<br />
1.6 1.8 2 2.2 2.4 2.6 2.8 3<br />
d) Δφ<br />
(rad)<br />
max<br />
Figure 4: a) ∆φ distribution in data, SP, <strong>and</strong> DP mo<strong>de</strong>ls, <strong>and</strong> the sum of the SP <strong>and</strong> DP contributions weighted<br />
with their fractions in the bin 15 < p jet2<br />
T < 20 GeV; b) Same as in a), but for the bin 20 < pjet2<br />
T < 25 GeV; c)<br />
Same as in a), but for the bin 25 < p jet2<br />
T < 30 GeV; d) Fractions of DP events (%) with total uncertainties for<br />
0 ≤∆φ ≤ π in the three p jet2<br />
T bins.<br />
From the same plots in Fig.4 one can see that the fraction of DP events is expected to be<br />
higher at smaller ∆φ angles. To <strong>de</strong>termine the fractions as a function of the ∆φ angle, a simple<br />
fit was done in the different ∆φ regions by excluding the bins at high ∆φ values; for example, by<br />
consi<strong>de</strong>ring the ∆φ regions 0 − 2.85,0 − 2.65,0 − 2.45,0 − 2.15, <strong>and</strong> 0 − 1.60. The DP fractions<br />
with total uncertainties as functions of the upper limit on ∆φ (∆φmax) for all three p jet2<br />
T bins<br />
are shown in plot d). As expected, they grow significantly for the smaller angles <strong>and</strong> are higher<br />
for smaller p jet2<br />
T bins.<br />
The found sizable DP contribution can provi<strong>de</strong> an important background for searches of<br />
<strong>de</strong>viations from St<strong>and</strong>ard Mo<strong>de</strong>l at Tevatron <strong>and</strong> it indicates the importance of performing the<br />
analogous measurements of double parton interactions at LHC for searches of Higgs boson <strong>and</strong><br />
New Physics signals.<br />
References<br />
1. AFS Collaboration, T. Akesson et al., Z.Phys. C 34, 163 (1987).<br />
2. UA2 Collaboration, J. Alitti et al., Phys. Lett. B 268, 145 (1991).<br />
3. CDF Collaboration, F. Abe et al., Phys. Rev. D 47, 4857 (1993).<br />
4. CDF Collaboration, F. Abe et al., Phys. Rev. D 56, 3811 (1997).<br />
5. D0 Collaboration, V.M. Abazov et al., Phys. Rev. D 81, 052012 (2010).<br />
6. D0 Collaboration, V.M. Abazov et al., Phys. Rev. D 83, 052008 (<strong>2011</strong>)<br />
7. CDF Collaboration, F. Abe et al., Phys. Rev. D 57, 67 (1998).<br />
8. D0 Collaboration, V.M. Abazov et al., Phys. Lett. B 666, 435 (2008); Phys. Rev. Lett.<br />
B 102 , 192002, (2009).