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Unraveling anomalies in Deeply Virtual Compton Scattering

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arxiv 2308.15377 v1 pith:HPDAORHJ submitted 2023-08-29 hep-ph nucl-th

classification hep-phnucl-th
keywords comptonanomalydeeplypolarizedpolesscatteringunpolarizedvirtual
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the one-loop quark box diagrams relevant to polarized and unpolarized Deeply Virtual Compton Scattering by introducing an off-forward momentum $l^\mu$ as an infrared regulator. This regularization approach allows us to reveal the poles associated with the chiral anomaly in the polarized scenario, as well as the trace anomaly in the unpolarized case. We provide an interpretation of our findings in the context of pertinent Generalized Parton Distributions (GPDs). Furthermore, we discuss the implications of these poles on the QCD factorization pertaining to Compton amplitudes.

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