Abstract
We calculate the cross section for production of a soft photon and two hard jets in the forward rapidity region in proton-nucleus collisions at high energies. The calculation is performed within the hybrid formalism. The hardness of the final particles is defined with respect to the saturation scale of the nucleus. We consider both the correlation limit of small momentum imbalance and the dilute target limit where the momentum imbalance is of the order of the hardness of the jets. The results depend on the first two transversemomentum-dependent (TMD) gluon distributions of the nucleus.
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F. Arleo, K.J. Eskola, H. Paukkunen and C.A. Salgado, Inclusive prompt photon production in nuclear collisions at RHIC and LHC, JHEP 04 (2011) 055 [arXiv:1103.1471] [INSPIRE].
L.V. Gribov, E.M. Levin and M.G. Ryskin, Semihard Processes in QCD, Phys. Rept. 100 (1983) 1 [INSPIRE].
A.H. Mueller and J.-w. Qiu, Gluon Recombination and Shadowing at Small Values of x, Nucl. Phys. B 268 (1986) 427 [INSPIRE].
A.H. Mueller, Small x Behavior and Parton Saturation: A QCD Model, Nucl. Phys. B 335 (1990) 115 [INSPIRE].
A.H. Mueller, Soft gluons in the infinite momentum wave function and the BFKL Pomeron, Nucl. Phys. B 415 (1994) 373 [INSPIRE].
A.H. Mueller, Unitarity and the BFKL Pomeron, Nucl. Phys. B 437 (1995) 107 [hep-ph/9408245] [INSPIRE].
I. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B 463 (1996) 99 [hep-ph/9509348] [INSPIRE].
I. Balitsky, Factorization for high-energy scattering, Phys. Rev. Lett. 81 (1998) 2024 [hep-ph/9807434] [INSPIRE].
I. Balitsky, Factorization and high-energy effective action, Phys. Rev. D 60 (1999) 014020 [hep-ph/9812311] [INSPIRE].
Y.V. Kovchegov, Unitarization of the BFKL Pomeron on a nucleus, Phys. Rev. D 61 (2000) 074018 [hep-ph/9905214] [INSPIRE].
J. Jalilian-Marian, A. Kovner, A. Leonidov and H. Weigert, The BFKL equation from the Wilson renormalization group, Nucl. Phys. B 504 (1997) 415 [hep-ph/9701284] [INSPIRE].
J. Jalilian-Marian, A. Kovner, A. Leonidov and H. Weigert, The Wilson renormalization group for low x physics: Towards the high density regime, Phys. Rev. D 59 (1998) 014014 [hep-ph/9706377] [INSPIRE].
J. Jalilian-Marian, A. Kovner and H. Weigert, The Wilson renormalization group for low x physics: Gluon evolution at finite parton density, Phys. Rev. D 59 (1998) 014015 [hep-ph/9709432] [INSPIRE].
A. Kovner and J.G. Milhano, Vector potential versus color charge density in low x evolution, Phys. Rev. D 61 (2000) 014012 [hep-ph/9904420] [INSPIRE].
A. Kovner, J.G. Milhano and H. Weigert, Relating different approaches to nonlinear QCD evolution at finite gluon density, Phys. Rev. D 62 (2000) 114005 [hep-ph/0004014] [INSPIRE].
H. Weigert, Unitarity at small Bjorken x, Nucl. Phys. A 703 (2002) 823 [hep-ph/0004044] [INSPIRE].
E. Iancu, A. Leonidov and L.D. McLerran, Nonlinear gluon evolution in the color glass condensate: I, Nucl. Phys. A 692 (2001) 583 [hep-ph/0011241] [INSPIRE].
E. Iancu, A. Leonidov and L.D. McLerran, The Renormalization group equation for the color glass condensate, Phys. Lett. B 510 (2001) 133 [hep-ph/0102009] [INSPIRE].
E. Ferreiro, E. Iancu, A. Leonidov and L.D. McLerran, Nonlinear gluon evolution in the color glass condensate: II, Nucl. Phys. A 703 (2002) 489 [hep-ph/0109115] [INSPIRE].
P. Stankus, Direct photon production in relativistic heavy-ion collisions, Ann. Rev. Nucl. Part. Sci. 55 (2005) 517 [INSPIRE].
P. Aurenche, R. Baier, M. Fontannaz and D. Schiff, Prompt Photon Production at Large p T Scheme Invariant QCD Predictions and Comparison with Experiment, Nucl. Phys. B 297 (1988) 661 [INSPIRE].
F. Aversa, P. Chiappetta, M. Greco and J.P. Guillet, QCD Corrections to Parton-Parton Scattering Processes, Nucl. Phys. B 327 (1989) 105 [INSPIRE].
A.V. Lipatov and N.P. Zotov, Prompt photon hadroproduction at high energies in the k T -factorization approach, J. Phys. G 34 (2007) 219 [hep-ph/0507243] [INSPIRE].
S. Benić, K. Fukushima, O. Garcia-Montero and R. Venugopalan, Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions, JHEP 01 (2017) 115 [arXiv:1609.09424] [INSPIRE].
A. Dumitru, A. Hayashigaki and J. Jalilian-Marian, The Color glass condensate and hadron production in the forward region, Nucl. Phys. A 765 (2006) 464 [hep-ph/0506308] [INSPIRE].
T. Altinoluk and A. Kovner, Particle Production at High Energy and Large Transverse Momentum: “The Hybrid Formalism” Revisited, Phys. Rev. D 83 (2011) 105004 [arXiv:1102.5327] [INSPIRE].
G.A. Chirilli, B.-W. Xiao and F. Yuan, Inclusive Hadron Productions in pA Collisions, Phys. Rev. D 86 (2012) 054005 [arXiv:1203.6139] [INSPIRE].
Z.-B. Kang, I. Vitev and H. Xing, Next-to-leading order forward hadron production in the small-x regime: rapidity factorization, Phys. Rev. Lett. 113 (2014) 062002 [arXiv:1403.5221] [INSPIRE].
Z.-B. Kang, I. Vitev and H. Xing, Next-to-leading order forward hadron production in the small-x regime: rapidity factorization, Phys. Rev. Lett. 113 (2014) 062002 [arXiv:1403.5221] [INSPIRE].
B.-W. Xiao and F. Yuan, Comment on “Next-to-leading order forward hadron production in the small-x regime: rapidity factorization” arXiv:1403.5221 by Kang et al., arXiv:1407.6314 [INSPIRE].
K. Watanabe, B.-W. Xiao, F. Yuan and D. Zaslavsky, Implementing the exact kinematical constraint in the saturation formalism, Phys. Rev. D 92 (2015) 034026 [arXiv:1505.05183] [INSPIRE].
B. Ducloué, T. Lappi and Y. Zhu, Single inclusive forward hadron production at next-to-leading order, Phys. Rev. D 93 (2016) 114016 [arXiv:1604.00225] [INSPIRE].
B. Ducloué, T. Lappi and Y. Zhu, Implementation of NLO high energy factorization in single inclusive forward hadron production, Phys. Rev. D 95 (2017) 114007 [arXiv:1703.04962] [INSPIRE].
E. Iancu, A.H. Mueller and D.N. Triantafyllopoulos, CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order, JHEP 12 (2016) 041 [arXiv:1608.05293] [INSPIRE].
T. Altinoluk, N. Armesto, G. Beuf, A. Kovner and M. Lublinsky, Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism, Phys. Rev. D 91 (2015) 094016 [arXiv:1411.2869] [INSPIRE].
T. Altinoluk, N. Armesto, G. Beuf, A. Kovner and M. Lublinsky, Heavy quarks in proton-nucleus collisions: the hybrid formalism, Phys. Rev. D 93 (2016) 054049 [arXiv:1511.09415] [INSPIRE].
F. Gelis and J. Jalilian-Marian, Photon production in high-energy proton nucleus collisions, Phys. Rev. D 66 (2002) 014021 [hep-ph/0205037] [INSPIRE].
S. Benić and A. Dumitru, Prompt photon-jet angular correlations at central rapidities in p+A collisions, Phys. Rev. D 97 (2018) 014012 [arXiv:1710.01991] [INSPIRE].
M. Lublinsky and Y. Mulian, High Energy QCD at NLO: from light-cone wave function to JIMWLK evolution, JHEP 05 (2017) 097 [arXiv:1610.03453] [INSPIRE].
A. Kovner and A.H. Rezaeian, Double parton scattering in the CGC: Double quark production and effects of quantum statistics, Phys. Rev. D 96 (2017) 074018 [arXiv:1707.06985] [INSPIRE].
V.N. Gribov, B.L. Ioffe and I.Y. Pomeranchuk, What is the range of interactions at high-energies, Sov. J. Nucl. Phys. 2 (1966) 549 [Yad. Fiz. 2 (1965) 768] [INSPIRE].
B.L. Ioffe, Space-time picture of photon and neutrino scattering and electroproduction cross-section asymptotics, Phys. Lett. B 30 (1969) 123 [INSPIRE].
V.V. Sudakov, Vertex parts at very high-energies in quantum electrodynamics, Sov. Phys. JETP 3 (1956) 65 [Zh. Eksp. Teor. Fiz. 30 (1956) 87] [INSPIRE].
A.H. Mueller, B.-W. Xiao and F. Yuan, Sudakov double logarithms resummation in hard processes in the small-x saturation formalism, Phys. Rev. D 88 (2013) 114010 [arXiv:1308.2993] [INSPIRE].
C. Marquet, E. Petreska and C. Roiesnel, Transverse-momentum-dependent gluon distributions from JIMWLK evolution, JHEP 10 (2016) 065 [arXiv:1608.02577] [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].
E. Iancu and J. Laidet, Gluon splitting in a shockwave, Nucl. Phys. A 916 (2013) 48 [arXiv:1305.5926] [INSPIRE].
F. Dominguez, C. Marquet, B.-W. Xiao and F. Yuan, Universality of Unintegrated Gluon Distributions at small x, Phys. Rev. D 83 (2011) 105005 [arXiv:1101.0715] [INSPIRE].
T. Altinoluk, N. Armesto, G. Beuf and A.H. Rezaeian, Diffractive Dijet Production in Deep Inelastic Scattering and Photon-Hadron Collisions in the Color Glass Condensate, Phys. Lett. B 758 (2016) 373 [arXiv:1511.07452] [INSPIRE].
K.J. Golec-Biernat and M. Wusthoff, Saturation effects in deep inelastic scattering at low Q 2 and its implications on diffraction, Phys. Rev. D 59 (1998) 014017 [hep-ph/9807513] [INSPIRE].
K.J. Golec-Biernat and M. Wusthoff, Saturation in diffractive deep inelastic scattering, Phys. Rev. D 60 (1999) 114023 [hep-ph/9903358] [INSPIRE].
E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Sov. Phys. JETP 45 (1977) 199 [Zh. Eksp. Teor. Fiz. 72 (1977) 377] [INSPIRE].
I.I. Balitsky and L.N. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [Yad. Fiz. 28 (1978) 1597] [INSPIRE].
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Altinoluk, T., Armesto, N., Kovner, A. et al. Soft photon and two hard jets forward production in proton-nucleus collisions. J. High Energ. Phys. 2018, 63 (2018). https://doi.org/10.1007/JHEP04(2018)063
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DOI: https://doi.org/10.1007/JHEP04(2018)063