Abstract
We perform a first study of 4-jet production in a complete high-energy factorization (HEF) framework. We include and discuss contributions from both single-parton scattering (SPS) and double-parton scattering (DPS). The calculations are performed for kinematical situations relevant for two experimental measurements (ATLAS and CMS) at the LHC. We compare our results to those reported by the ATLAS and CMS collaborations for different sets of kinematical cuts. The results of the HEF approach are compared with their counterparts for collinear factorization. For symmetric cuts the DPS HEF result is considerably smaller than the one obtained with collinear factorization. The mechanism leading to this difference is of kinematical nature. We conclude that an analysis of inclusive 4-jet production with asymmetric p T -cuts below 50 GeV would be useful to enhance the DPS contribution relative to the SPS contribution. In contrast to the collinear approach, the HEF approach nicely describes the distribution of the ΔS variable, which involves all four jets and their angular correlations.
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Z. Bern et al., Four-jet production at the Large Hadron Collider at next-to-leading order in QCD, Phys. Rev. Lett. 109 (2012) 042001 [arXiv:1112.3940] [INSPIRE].
S. Badger, B. Biedermann, P. Uwer and V. Yundin, NLO QCD corrections to multi-jet production at the LHC with a centre-of-mass energy of \( \sqrt{s}=8 \) TeV, Phys. Lett. B 718 (2013) 965 [arXiv:1209.0098] [INSPIRE].
A. van Hameren, R. Maciula and A. Szczurek, Production of two charm quark-antiquark pairs in single-parton scattering within the k t -factorization approach, Phys. Lett. B 748 (2015) 167 [arXiv:1504.06490] [INSPIRE].
CDF collaboration, F. Abe et al., Study of four jet events and evidence for double parton interactions in \( p\overline{p} \) collisions at \( \sqrt{s}=1.8 \) TeV, Phys. Rev. D 47 (1993) 4857 [INSPIRE].
M. Diehl, D. Ostermeier and A. Schafer, Elements of a theory for multiparton interactions in QCD, JHEP 03 (2012) 089 [arXiv:1111.0910] [INSPIRE].
S. Bansal et al., Progress in double parton scattering studies, in Workshop on multi-parton interactions at the LHC (MPI @ LHC 2013), Antwerp Belgium December 2-6 2013 [arXiv:1410.6664] [INSPIRE].
J.R. Gaunt and W.J. Stirling, Double parton distributions incorporating perturbative QCD evolution and momentum and quark number sum rules, JHEP 03 (2010) 005 [arXiv:0910.4347] [INSPIRE].
K. Golec-Biernat, E. Lewandowska, M. Serino, Z. Snyder and A.M. Stasto, Constraining the double gluon distribution by the single gluon distribution, Phys. Lett. B 750 (2015) 559 [arXiv:1507.08583] [INSPIRE].
M. Rinaldi, S. Scopetta, M. Traini and V. Vento, Double parton correlations and constituent quark models: a light front approach to the valence sector, JHEP 12 (2014) 028 [arXiv:1409.1500] [INSPIRE].
W. Broniowski, E.R. Arriola and K. Golec-Biernat, Generalized valon model for double parton distributions, in Theory and experiment for hadrons on the light-front (Light Cone 2015), Frascati Italy September 21-25 2015 [arXiv:1602.00254] [INSPIRE].
M. Luszczak, R. Maciula and A. Szczurek, Production of two \( c\overline{c} \) pairs in double-parton scattering, Phys. Rev. D 85 (2012) 094034 [arXiv:1111.3255] [INSPIRE].
R. Maciula and A. Szczurek, Production of \( c\overline{c}c\overline{c} \) in double-parton scattering within k t -factorization approach — meson-meson correlations, Phys. Rev. D 87 (2013) 074039 [arXiv:1301.4469] [INSPIRE].
E.L. Berger, C.B. Jackson and G. Shaughnessy, Characteristics and estimates of double parton scattering at the Large Hadron Collider, Phys. Rev. D 81 (2010) 014014 [arXiv:0911.5348] [INSPIRE].
R. Maciula and A. Szczurek, Searching for and exploring double-parton scattering effects in four-jet production at the LHC, Phys. Lett. B 749 (2015) 57 [arXiv:1503.08022] [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
ATLAS collaboration, Measurement of multi-jet cross sections in proton-proton collisions at a 7 TeV center-of-mass energy, Eur. Phys. J. C 71 (2011) 1763 [arXiv:1107.2092] [INSPIRE].
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 [arXiv:1509.07335] [INSPIRE].
J.C. Collins and R.K. Ellis, Heavy quark production in very high-energy hadron collisions, Nucl. Phys. B 360 (1991) 3 [INSPIRE].
S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization and small x heavy flavor production, Nucl. Phys. B 366 (1991) 135 [INSPIRE].
S. Catani and F. Hautmann, High-energy factorization and small x deep inelastic scattering beyond leading order, Nucl. Phys. B 427 (1994) 475 [hep-ph/9405388] [INSPIRE].
A. van Hameren, K. Kutak and T. Salwa, Scattering amplitudes with off-shell quarks, Phys. Lett. B 727 (2013) 226 [arXiv:1308.2861] [INSPIRE].
A. van Hameren, P. Kotko and K. Kutak, Helicity amplitudes for high-energy scattering, JHEP 01 (2013) 078 [arXiv:1211.0961] [INSPIRE].
P. Kotko, Wilson lines and gauge invariant off-shell amplitudes, JHEP 07 (2014) 128 [arXiv:1403.4824] [INSPIRE].
A. van Hameren, BCFW recursion for off-shell gluons, JHEP 07 (2014) 138 [arXiv:1404.7818] [INSPIRE].
A. van Hameren and M. Serino, BCFW recursion for TMD parton scattering, JHEP 07 (2015) 010 [arXiv:1504.00315] [INSPIRE].
C. Cruz-Santiago, P. Kotko and A. Stasto, Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines, Nucl. Phys. B 895 (2015) 132 [arXiv:1503.02066] [INSPIRE].
C. Cruz-Santiago, P. Kotko and A.M. Stasto, Scattering amplitudes in the light-front formalism, Prog. Part. Nucl. Phys. 85 (2015) 82 [INSPIRE].
P. Kotko, M. Serino and A.M. Stasto, Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope, arXiv:1601.02953 [INSPIRE].
P. Kotko, K. Kutak, C. Marquet, E. Petreska, S. Sapeta and A. van Hameren, Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions, JHEP 09 (2015) 106 [arXiv:1503.03421] [INSPIRE].
G.A. Chirilli, B.-W. Xiao and F. Yuan, One-loop factorization for inclusive hadron production in pA collisions in the saturation formalism, Phys. Rev. Lett. 108 (2012) 122301 [arXiv:1112.1061] [INSPIRE].
M. Nefedov and V. Saleev, Diphoton production at the Tevatron and the LHC in the NLO approximation of the parton Reggeization approach, Phys. Rev. D 92 (2015) 094033 [arXiv:1505.01718] [INSPIRE].
R. Angeles-Martinez et al., Transverse Momentum Dependent (TMD) parton distribution functions: status and prospects, Acta Phys. Polon. B 46 (2015) 2501 [arXiv:1507.05267] [INSPIRE].
J. Collins, Foundations of perturbative QCD, Cambridge University Press, Cambridge U.K. (2013).
G. Marchesini, QCD coherence in the structure function and associated distributions at small x, Nucl. Phys. B 445 (1995) 49 [hep-ph/9412327] [INSPIRE].
S. Catani, F. Fiorani and G. Marchesini, Small x behavior of initial state radiation in perturbative QCD, Nucl. Phys. B 336 (1990) 18 [INSPIRE].
F. Hautmann, H. Jung and S.T. Monfared, The CCFM uPDF evolution uPDFevolv version 1.0.00, Eur. Phys. J. C 74 (2014) 3082 [arXiv:1407.5935] [INSPIRE].
O. Gituliar, M. Hentschinski and K. Kutak, Transverse-momentum-dependent quark splitting functions in k T −factorization: real contributions, JHEP 01 (2016) 181 [arXiv:1511.08439] [INSPIRE].
M.A. Kimber, A.D. Martin and M.G. Ryskin, Unintegrated parton distributions, Phys. Rev. D 63 (2001) 114027 [hep-ph/0101348] [INSPIRE].
M.A. Kimber, A.D. Martin and M.G. Ryskin, Unintegrated parton distributions and prompt photon hadroproduction, Eur. Phys. J. C 12 (2000) 655 [hep-ph/9911379] [INSPIRE].
S. Sapeta, QCD and jets at hadron colliders, arXiv:1511.09336 [INSPIRE].
M.A. Nefedov, V.A. Saleev and A.V. Shipilova, Dijet azimuthal decorrelations at the LHC in the parton Reggeization approach, Phys. Rev. D 87 (2013) 094030 [arXiv:1304.3549] [INSPIRE].
M. Bury and A. van Hameren, Numerical evaluation of multi-gluon amplitudes for high energy factorization, Comput. Phys. Commun. 196 (2015) 592 [arXiv:1503.08612] [INSPIRE].
F.A. Berends and W.T. Giele, Recursive calculations for processes with n gluons, Nucl. Phys. B 306 (1988) 759 [INSPIRE].
F. Caravaglios and M. Moretti, An algorithm to compute Born scattering amplitudes without Feynman graphs, Phys. Lett. B 358 (1995) 332 [hep-ph/9507237] [INSPIRE].
A. Kanaki and C.G. Papadopoulos, HELAC: a package to compute electroweak helicity amplitudes, Comput. Phys. Commun. 132 (2000) 306 [hep-ph/0002082] [INSPIRE].
M.L. Mangano, M. Moretti, F. Piccinini, R. Pittau and A.D. Polosa, ALPGEN, a generator for hard multiparton processes in hadronic collisions, JHEP 07 (2003) 001 [hep-ph/0206293] [INSPIRE].
M. Moretti, T. Ohl and J. Reuter, O’Mega: an optimizing matrix element generator, hep-ph/0102195 [INSPIRE].
T. Gleisberg and S. Hoeche, Comix, a new matrix element generator, JHEP 12 (2008) 039 [arXiv:0808.3674] [INSPIRE].
R. Kleiss and G. van den Oord, CAMORRA: a c++ library for recursive computation of particle scattering amplitudes, Comput. Phys. Commun. 182 (2011) 435 [arXiv:1006.5614] [INSPIRE].
A. van Hameren, Multi-gluon one-loop amplitudes using tensor integrals, JHEP 07 (2009) 088 [arXiv:0905.1005] [INSPIRE].
S. Actis, A. Denner, L. Hofer, A. Scharf and S. Uccirati, Recursive generation of one-loop amplitudes in the standard model, JHEP 04 (2013) 037 [arXiv:1211.6316] [INSPIRE].
R. Maciula, V.A. Saleev, A.V. Shipilova and A. Szczurek, New mechanisms for double charmed meson production at the LHCb, arXiv:1601.06981 [INSPIRE].
CMS collaboration, Measurement of four-jet production in proton-proton collisions at \( \sqrt{s}=7 \) TeV, Phys. Rev. D 89 (2014) 092010 [arXiv:1312.6440] [INSPIRE].
A. Sabio Vera and F. Schwennsen, The azimuthal decorrelation of jets widely separated in rapidity as a test of the BFKL kernel, Nucl. Phys. B 776 (2007) 170 [hep-ph/0702158] [INSPIRE].
A. Sabio Vera and F. Schwennsen, Azimuthal decorrelation of forward jets in deep inelastic scattering, Phys. Rev. D 77 (2008) 014001 [arXiv:0708.0549] [INSPIRE].
F. Caporale, F.G. Celiberto, G. Chachamis and A.S. Vera, Multi-Regge kinematics and azimuthal angle observables for inclusive four-jet production, Eur. Phys. J. C 76 (2016) 165 [arXiv:1512.03364] [INSPIRE].
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Kutak, K., Maciula, R., Serino, M. et al. Four-jet production in single- and double-parton scattering within high-energy factorization. J. High Energ. Phys. 2016, 175 (2016). https://doi.org/10.1007/JHEP04(2016)175
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DOI: https://doi.org/10.1007/JHEP04(2016)175