Comparison of improved TMD and CGC frameworks in forward quark dijet production

Fujii, Hirotsugu; Marquet, Cyrille; Watanabe, Kazuhiro

doi:10.1007/jhep12(2020)181

Title: Comparison of improved TMD and CGC frameworks in forward quark dijet production

Journal Article · Mon Dec 28 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2020)181· OSTI ID:1763913

Fujii, Hirotsugu ^[1]; Marquet, Cyrille ^[2];

^[3]

Univ. of Tokyo (Japan)
Ecole Polytechnique, Palaiseau (France)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States); Central China Normal Univ., Wuhan (China)

For studying small-x gluon saturation in forward dijet production in high-energy dilute-dense collisions, the improved TMD (ITMD) factorization formula was recently proposed. In the Color Glass Condensate (CGC) framework, it represents the leading term of an expansion in inverse powers of the hard scale. It contains the leading-twist TMD factorization formula relevant for small gluon’s transverse momentum k_t, but also incorporates an all-order resummation of kinematical twists, resulting in a proper matching to high-energy factorization at large k_t. In this paper, we evaluate the accuracy of the ITMD formula quantitatively, for the case of quark dijet production in high-energy proton-proton(p+p) and proton-nucleus (p+A) collisions at LHC energies. We do so by comparing the quark-antiquark azimuthal angle Δϕ distribution to that obtained with the CGC formula. For a dijet with each quark momentum p_t much larger than the target saturation scale, Q_s, the ITMD formula is a good approximation to the CGC formula in a wide range of azimuthal angle. It becomes less accurate as the jet p_t’s are lowered, as expected, due to the presence of genuine higher-twists contributions in the CGC framework, which represent multi-body scattering effects absent in the ITMD formula. We find that, as the hard jet momenta are lowered, the accuracy of ITMD start by deteriorating at small angles, in the high-energy-factorization regime, while in the TMD regime near Δϕ = π, very low values of p_t are needed to see differences between the CGC and the ITMD formula. In addition, the genuine twists corrections to ITMD become visible for higher values of p_t in p + A collisions, compared to p+p collisions, signaling that they are enhanced by the target saturation scale.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); MEXT; French National Research Agency (ANR); European Commission (EC)

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028; 11575070; 16K05343; ANR-16-CE31-0019-02; 82409

OSTI ID:: 1763913

Report Number(s):: JLAB-THY-20-3218; DOE/OR/23177-4995; arXiv:2006.16279; TRN: US2206099

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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