Parton distribution function for topological charge at one loop

Abstract

We present results for the $gg$-part of the one-loop corrections to the recently introduced "topological charge" GPD $\tilde{F}(x,q^2)$. In particular, we give expression for its evolution kernel. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No "zero mode" $\delta (x)$ terms were found for the twist-4 gluon GPD $\tilde{F}(x,q^2)$.

References in corpus (9)

• Quark Pseudo-Distributions at Short Distances
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• Violation of Sum Rules for Twist-3 Parton Distributions in QCD
• Fundamental Properties of the Proton in Light-Front Zero Modes
• Parton distribution function for the gluon condensate
• $CP$-odd gluonic operators in QCD spin physics
• Polarized Gluon Pseudodistributions at Short Distances
• Short-Distance Structure of Unpolarized Gluon Pseudodistributions

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