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arXiv · 2606.17993

From target to projectile: CSS evolution of quark TMD in different light-cone gauges

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

We calculate the one-loop corrections to the quark TMD in the projectile light-cone gauge using the background field formalism, with the Mandelstam-Leibbrandt (ML) prescription for the extra singularity present in the light-cone gauge propagator. We use the pure rapidity regulator for rapidity divergences. The Collins-Soper-Sterman (CSS) evolution equations are obtained after one-loop renormalization of the quark TMD in this gauge. We discuss how the structure of the rapidity divergences and the double-logarithmic contributions to the CSS resummation compares with the analogous calculation performed in the target light-cone gauge, and discuss the implications for the connection between the TMD factorization and Color Glass Condensate frameworks.

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Tolga Altinoluk, Guillaume Beuf, Jamal Jalilian-Marian, Mirja Tevio. 2026-06-16. From target to projectile: CSS evolution of quark TMD in different light-cone gauges. https://arxiv.org/abs/2606.17993

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