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Gluon double-spin asymmetry in the longitudinally polarized p + p collisions

A bstract We derive the first-ever small- x expression for the inclusive gluon production cross section in the central rapidity region of the longitudinally polarized proton-proton collisions. The cross section depends on the polarizations of both protons, therefore comprising the numerator of the l...

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Published in:The journal of high energy physics 2024-05, Vol.2024 (5), p.177-46, Article 177
Main Authors: Kovchegov, Yuri V., Li, Ming
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description A bstract We derive the first-ever small- x expression for the inclusive gluon production cross section in the central rapidity region of the longitudinally polarized proton-proton collisions. The cross section depends on the polarizations of both protons, therefore comprising the numerator of the longitudinal double-spin asymmetry A LL for the produced gluons. The cross section is calculated in the shock wave formalism and is expressed in terms of the polarized dipole scattering amplitudes on the projectile and target protons. We show that the small- x evolution corrections are included into our cross section expression if one evolves these polarized dipole amplitudes using the double-logarithmic helicity evolution derived in [1–4]. Our calculation is performed for the gluon sector only, with the quark contribution left for future work. When that work is complete, the resulting formula will be applicable to longitudinally polarized proton-proton and proton-nucleus collisions, as well as to polarized semi-inclusive deep inelastic scattering (SIDIS) on a proton or a nucleus. Our results should allow one to extend the small- x helicity phenomenology analysis of [5] to the jet/hadron production data reported for the longitudinally polarized proton-proton collisions at RHIC and to polarized SIDIS measurements at central rapidities to be performed at the EIC.
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subjects Amplitudes
Asymmetry
Classical and Quantum Gravitation
Collisions
Cross-sections
Deep Inelastic Scattering or Small-x Physics
Dipoles
Elementary Particles
Evolution
Factorization
Gluons
Helicity
Inelastic scattering
Parton Distributions
Phenomenology
Physics
Physics and Astronomy
Projectiles
Protons
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativistic Heavy Ion Collider
Relativity Theory
Renormalization Group
Resummation
String Theory
title Gluon double-spin asymmetry in the longitudinally polarized p + p collisions
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