Small- x evolution of the dipole amplitude in momentum space: Forward-off-forward correspondence

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-02-13 DOI:10.1103/physrevd.111.034022

Sanskriti Agrawal, Raktim Abir

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引用次数: 0

Abstract

We have shown that the small-x evolution of the leading-log dipole scattering amplitudes, both pomeron and odderon, in the momentum space can be completely determined by the evolution of the respective amplitudes, with rescaled momenta. In position space, if there is translation symmetry (assumption of a large nucleus), the dipole cross section depends on the positions of quarks and antiquarks only through their separation. The present study is an equivalent proposition in the momentum space—where translation symmetry in momentum bifurcates the amplitudes into two translationally symmetric functions along the k line in the k−Δ plane. It also shows that high energy evolutions of dipole generalized transverse momentum-dependent distributions can be achieved only by studying the evolution of dipole transverse momentum-dependent distributions at small-x.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.