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CMS-PAS-SMP-17-009
Azimuthal angular correlations in high transverse momentum dijet events at 13 TeV
Abstract: The azimuthal angle correlation between the two jets with the largest transverse momenta in inclusive 2-jet topologies, close to the back-to-back configuration, is measured for several regions of the leading jet transverse momentum. Measurements of the same observable requiring the presence of extra jets are also presented. The analysis is based on proton-proton collision data collected with the CMS experiment at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The results are compared to predictions using Monte Carlo event generators which combine perturbative QCD calculations up to next-to-leading-order accuracy with contributions from parton showers, hadronization, and multiparton interactions.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Normalized inclusive 2-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $ for nine $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions, scaled by multiplicative factors for presentation purposes. The error bars on the data points include statistical and systematic uncertainties. Overlaid on the data are predictions from the PH-2J+PYTHIA8 event generator.

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Figure 2:
Ratios of PYTHIA8, HERWIG++, and MadGraph+PYTHIA8 predictions to data, of the normalized inclusive 2-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $, for all $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions. The solid band indicates the total experimental uncertainty and the error bars on the MC points represent the statistical uncertainties of the simulated data.

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Figure 3:
Ratios of PH-2J+PYTHIA8, PH-3J+PYTHIA8 and MadGraph+PYTHIA8 predictions to data, of the normalized inclusive 2-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $, for all $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions. The solid band indicates the total experimental uncertainty and the error bars on the MC points represent the statistical uncertainties of the simulated data.

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Figure 4:
Normalized inclusive 3-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $ for nine $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions, scaled by multiplicative factors for presentation purposes. The error bars on the data points include statistical and systematic uncertainties. Overlaid on the data are predictions from the PH-2J+PYTHIA8 event generator.

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Figure 5:
Ratios of PYTHIA8, HERWIG++, and MadGraph+PYTHIA8 predictions to data, of the normalized inclusive 3-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $, for all $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions. The solid band indicates the total experimental uncertainty and the error bars on the MC points represent the statistical uncertainties of the simulated data.

png pdf
Figure 6:
Ratios of PH-2J+PYTHIA8, PH-3J+PYTHIA8 and MadGraph+PYTHIA8 predictions to data, of the normalized inclusive 3-jet distributions as a function of the azimuthal difference of the two leading jets $ {\Delta \phi _\text {1,2}} $, for all $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions. The solid band indicates the total experimental uncertainty and the error bars on the MC points represent the statistical uncertainties of the simulated data.
Tables

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Table 1:
Trigger used according to the various $ {{p_{\mathrm {T}}} ^{\text {max}}} $ regions.
Summary
Measurements of the normalized inclusive 2-jet and 3-jet distributions as a function of $ {\Delta\phi_\text{1,2}} $ are presented for several regions in the leading-jet transverse momentum $ {p_{\mathrm{T}}}^{\text{max}} $. The measurements are performed using data collected with the CMS experiment at the CERN LHC, corresponding to an integrated luminosity of 35.9 fb$^{-1}$ of proton-proton collisions at $\sqrt{\smash[b]{s}} = $ 13 TeV.

The measured distributions $ {\Delta\phi_\text{1,2}} $ are compared to predictions from PYTHIA8, HERWIG++, MadGraph+PYTHIA8 and POWHEG (PH-2J and PH-3J) matched to PYTHIA8.

The tree-level multijet event generator MadGraph in combination with PYTHIA8 for showering, hadronization, and multiparton interactions, shows deviations from the measured $ {\Delta\phi_\text{1,2}} $ for the inclusive2-jet case, and even larger deviations for the 3-jet case. The PYTHIA8 and HERWIG++ predictions show large deviations (up to 10%) for the 2-jet inclusive cross sections whereas their predictions are in reasonable agreement with the inclusive 3-jet distributions.

The NLO predictions of PH-2J for the inclusive 2-jet case are similar to those from PYTHIA8 and HERWIG++ for high $ {p_{\mathrm{T}}}^{\text{max}} $ slices, except for the $ {\Delta\phi_\text{1,2}} $ region close to 180$^\circ$, the PH-3J predictions agree with the measurements. For the inclusive 3-jet case, PH-2J performs similar to PYTHIA8 and HERWIG++ in the whole range for high $ {p_{\mathrm{T}}}^{\text{max}} $ slices, PH-3J shows deviations from the measurements.

The measurement of the back-to-back region of dijet correlations are a very sensitive probe to the treatment of soft parton radiation in addition to the hard dijet system, and theoretical predictions show deviations up to 10% mainly in the $ {\Delta\phi_\text{1,2}} $ region close to 180$^\circ$.
References
1 S. Catani, M. Grazzini, and H. Sargsyan Azimuthal asymmetries in QCD hard scattering: infrared safe but divergent JHEP 06 (2017) 017
2 S. Catani, M. Grazzini, and A. Torre Transverse-momentum resummation for heavy-quark hadroproduction Nucl.Phys. B890 (2015) 518--538
3 D0 Collaboration Measurement of dijet azimuthal decorrelations at central rapidities in $ \mathrm{p}\overline{\mathrm{p}} $ collisions at $ \sqrt{s}= $ 1.96 TeV PRL 94 (2005) 221801 hep-ex/0409040
4 D0 Collaboration Measurement of the combined rapidity and $ p_{T} $ dependence of dijet azimuthal decorrelations in $ \mathrm{p}\overline{\mathrm{p}} $ collisions at $ \sqrt{s}= $ 1.96 TeV PLB 721 (2013) 212 1212.1842
5 ATLAS Collaboration Measurement of dijet azimuthal decorrelations in $ \mathrm{p}\mathrm{p} $ collisions at $ \sqrt{s}= $ 7 TeV PRL 106 (2011) 172002 1102.2696
6 CMS Collaboration Dijet azimuthal decorrelations in $ \mathrm{p}\mathrm{p} $ collisions at $ \sqrt{s}= $ 7 TeV PRL 106 (2011) 122003 CMS-QCD-10-026
1101.5029
7 CMS Collaboration Measurement of dijet azimuthal decorrelation in pp collisions at $ \sqrt{s}= $ 8 TeV EPJC 76 (2016) 536 CMS-SMP-14-015
1602.04384
8 CMS Collaboration Measurements of inclusive 2-jet, 3-jet, and 4-jet azimuthal correlations in pp collisions $ \sqrt{s}= $ 13 TeV CDS
9 ATLAS Collaboration Measurement of three-jet production cross-sections in $ pp $ collisions at 7 TeV centre-of-mass energy using the ATLAS detector EPJC 75 (2015) 228 1411.1855
10 ATLAS Collaboration Measurement of four-jet differential cross sections in $ \sqrt{s}= $ 8 TeV proton-proton collisions using the ATLAS detector JHEP 12 (2015) 105 1509.07335
11 CMS Collaboration The CMS experiment at the CERN LHC JINST 03 (2008) S08004 CMS-00-001
12 M. Bahr et al. Herwig++ physics and manual EPJC 58 (2008) 639 0803.0883
13 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
14 B. Andersson The Lund model Camb. Monogr. Part. Phys. NP Cosmol. 7 (1997) 1
15 B. R. Webber A QCD model for jet fragmentation including soft gluon interference NPB 238 (1984) 492
16 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
17 NNPDF Collaboration Parton distributions with QED corrections NPB 877 (2013) 290 1308.0598
18 NNPDF Collaboration Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO NPB 855 (2012) 153 1107.2652
19 J. Pumplin et al. New generation of parton distributions with uncertainties from global QCD analysis JHEP 07 (2002) 012 hep-ph/0201195
20 GEANT4 Collaboration Geant4 -- a simulation tool kit NIMA 506 (2003) 250
21 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
22 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC53 (2008) 473--500 0706.2569
23 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
24 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower monte carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
25 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
26 S. Alioli et al. Jet pair production in POWHEG JHEP 11 (2011) 081 1012.3380
27 A. Kardos, P. Nason, and C. Oleari Three-jet production in POWHEG JHEP 04 (2014) 043 1402.4001
28 K. Hamilton, P. Nason, C. Oleari, and G. Zanderighi Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching JHEP 05 (2013) 082
29 K. Hamilton, P. Nason, and G. Zanderighi MINLO: Multi-Scale Improved NLO JHEP 10 (2012) 155
30 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
31 CMS Collaboration The CMS high level trigger EPJC 46 (2006) 605 hep-ex/0512077
32 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector Submitted to \it JINST CMS-PRF-14-001
1706.04965
33 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{t}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
34 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
35 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV CMS-JME-13-004
1607.03663
36 G. D'Agostini A multidimensional unfolding method based on bayes theorem Nucl.Instrum.Meth. A362 (1995) 487
37 T. Adye Unfolding algorithms and tests using RooUnfold 1105.1160
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