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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).

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