Work

One-loop renormalization of the quark TMD in projectile light-cone gauge

Year: 2026

Type: preprint

Abstract: We use the background field formalism to calculate next-to-leading-order corrections to a quark transverse momentum dependent parton distribution function (TMD) in the projectile light-cone gauge, i.e. $A^{+}=0$ for a left-moving target. We calculate the full result using the Mandelstam-Leibbrandt prescription for handling the light-cone singularity. From the one-loop renormalization of the quark TMD, we obtain the Collins-Soper-Sterman (CSS) evolution equations. The projectile light-cone gauge is widely used in calculations within the gluon saturation regime. Our work therefore opens a way to understanding the connections between the TMD and Colour Glass Condensate (CGC) approaches within the same framework.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15444

Authors: Altinoluk, Tolga, Beuf, Guillaume, Jalilian-Marian, Jamal, Tevio, Mirja

Institutions: The Graduate Center, CUNY, City University of New York, Baruch College, National Centre for Nuclear Research

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Office of Science, Nuclear Physics

Award: G1819392837

OpenAlex ID: W7213280101

Cites: 15

Cited by:

Related to: 10