Speaker
Description
We use the background field formalism to calculate NLO 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 to handle the light-cone singularity.
From the one-loop renormalization of the quark TMD, we obtain the Collins-Soper-Sterman (CSS) evolution equations.
The calculation is a continuation of similar work in the target light-cone gauge~[1].
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.
[1] T. Altinoluk, G. Beuf, J. Jalilian-Marian, arXiv:2505.20467 [hep-ph]