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arXiv · 2609.15444

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

Tolga Altinoluk·Guillaume Beuf·Jamal Jalilian-Marian·Mirja Tevio
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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.

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Tolga Altinoluk, Guillaume Beuf, Jamal Jalilian-Marian, Mirja Tevio. 2026-09-14. One-loop renormalization of the quark TMD in projectile light-cone gauge. https://arxiv.org/abs/2609.15444

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