PreprintarXiv licencearXiv
One-loop renormalization of the quark TMD in projectile light-cone gauge
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.
Related
- Analytic results for the two-loop renormalization constants of Feynman gauge QED
- Gauge-parameter cancellation and finite form factors in one-loop quark scattering in the refined Gribov-Zwanziger framework
- RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
- Flowed quark field renormalization in lattice QCD: A Ward-identity approach and its validation using quark bilinears
- Functional renormalization group study of the quark-meson model beyond the local potential approximation: Kurganov--Tadmor versus the grid method
BibTeX
@misc{altinoluk2026oneloop,
title = {{One-loop renormalization of the quark TMD in projectile light-cone gauge}},
author = {Tolga Altinoluk and Guillaume Beuf and Jamal Jalilian-Marian and Mirja Tevio},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15444},
eprint = {2609.15444},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15444},
}
RIS
TY - UNPB
TI - One-loop renormalization of the quark TMD in projectile light-cone gauge
AU - Tolga Altinoluk
AU - Guillaume Beuf
AU - Jamal Jalilian-Marian
AU - Mirja Tevio
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15444
UR - https://arxiv.org/abs/2609.15444
AB - 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.
ER -