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Title: Transverse momentum dependent parton distributions at small- x

Abstract

We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by computing the TMDs at appropriate scales in terms of the dipole scattering amplitudes, which obey the relevant Balitsky–Kovchegov equation. Meanwhile, the TMD evolution is obtained by resumming the Collins–Soper type large logarithms emerged from the calculations in small-x formalism into Sudakov factors.

Authors:
 [1];  [2];  [3]
  1. Central China Normal Univ., Wuhan (China). Key Lab. of Quark and Lepton Physics (MOE), Inst. of Particle Physics
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Shandong Univ., Jinan (China). Key Lab. of Particle Physics and Particle Irradiation (MOE)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1359703
Alternate Identifier(s):
OSTI ID: 1408451
Grant/Contract Number:
AC02-05CH11231
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 921; Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Xiao, Bo-Wen, Yuan, Feng, and Zhou, Jian. Transverse momentum dependent parton distributions at small- x. United States: N. p., 2017. Web. doi:10.1016/j.nuclphysb.2017.05.012.
Xiao, Bo-Wen, Yuan, Feng, & Zhou, Jian. Transverse momentum dependent parton distributions at small- x. United States. doi:10.1016/j.nuclphysb.2017.05.012.
Xiao, Bo-Wen, Yuan, Feng, and Zhou, Jian. Tue . "Transverse momentum dependent parton distributions at small- x". United States. doi:10.1016/j.nuclphysb.2017.05.012.
@article{osti_1359703,
title = {Transverse momentum dependent parton distributions at small- x},
author = {Xiao, Bo-Wen and Yuan, Feng and Zhou, Jian},
abstractNote = {We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by computing the TMDs at appropriate scales in terms of the dipole scattering amplitudes, which obey the relevant Balitsky–Kovchegov equation. Meanwhile, the TMD evolution is obtained by resumming the Collins–Soper type large logarithms emerged from the calculations in small-x formalism into Sudakov factors.},
doi = {10.1016/j.nuclphysb.2017.05.012},
journal = {Nuclear Physics. B},
number = C,
volume = 921,
place = {United States},
year = {Tue May 23 00:00:00 EDT 2017},
month = {Tue May 23 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysb.2017.05.012

Citation Metrics:
Cited by: 1work
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  • We study the universality of the transverse momentum dependent parton distributions at small-x, by comparing the initial/final state interaction effects in dijet-correlation in pA collisions with that in deep inelastic lepton nucleus scattering. We demonstrate the non-universality by an explicit calculation in a particular model where the multiple gauge boson exchange contributions are summed up to all orders. We furthercomment on the implications of our results on the theoretical interpretation of di-hadron correlation in dA collisions in terms of the saturation phenomena in deep inelastic lepton nucleus scattering.
  • We study the universality issue of the transverse momentum dependent parton distributions at small x, by comparing the initial and final state interaction effects in di-jet-correlations in pA collisions with those in deep inelastic lepton-nucleus scattering. We demonstrate the nonuniversality by performing an explicit calculation in a particular model where the multiple gauge boson exchange contributions are summed up to all orders. We comment on the implications of our results on the theoretical interpretation of dihadron correlation in dA collisions in terms of the saturation phenomena in deep inelastic lepton-nucleus scattering.
  • We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by computing the TMDs at appropriate scales in terms of the dipole scattering amplitudes, which obey the relevant Balitsky–Kovchegov equation. Meanwhile, the TMD evolution is obtained by resumming the Collins–Soper type large logarithms emerged from the calculations in small-x formalism into Sudakov factors.
  • We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions (TMDs), we describe their dependence on the factorization scale and rapidity cutoff, which is essential for phenomenological applications.
  • The hadron-energy evolution (Collins and Soper) equation for all the leading-twist transverse-momentum and spin dependent parton distributions is derived in the impact parameter space. Based on this equation, we present a resummation formulas for the spin dependent structure functions of the semi-inclusive deep-inelastic scattering.