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

Tolga Altinoluk1, Guillaume Beuf1, Jamal Jalilian-Marian2,3, and Mirja Tevio1,4

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Phys. Rev. D 114, 074055 – Published 26 October, 2026

DOI: https://doi.org/10.1103/yyj8-lx6w

Abstract

We calculate the one-loop corrections to the quark transverse momentum dependent (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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Phys. Rev. D 114, 074055– Published 26 October, 2026
  • Received 25 June 2026
  • Accepted 6 October 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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