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Parton distribution function for topological charge at one loop

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arxiv 2201.02181 v2 pith:SJA2DJ4P submitted 2022-01-06 hep-ph hep-lat

Parton distribution function for topological charge at one loop

classification hep-ph hep-lat
keywords chargeresultstopologicalwidetildecompliancecorrectionsdeltadistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We present results for the $gg$-part of the one-loop corrections to the recently introduced "topological charge" GPD $\widetilde F(x,q^2)$. 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 $\widetilde F(x,q^2)$.

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