Nonlocal chiral anomaly and generalized parton distributions

Bhattacharya, Shohini; Hatta, Yoshitaka; Schoenleber, Jakob

doi:10.1103/PhysRevD.111.014013

Title: Nonlocal chiral anomaly and generalized parton distributions

Journal Article · 13 January 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.014013 · OSTI ID:2500398

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We discuss the nonlocal generalization of the QCD chiral anomaly along the light cone and derive relations between twist-two, twist-three, and twist-four generalized parton distributions (GPDs) mediated by the anomaly. We further establish the connection to the “anomaly pole” in the GPD $\tilde{E}$ recently identified in the perturbative calculation of the Compton scattering amplitudes, and demonstrate its cancellation at the GPD level. Our work helps elucidate the previously unexplored connection between GPDs, the chiral anomaly, and the mass generation of the $η^{'}$ meson. Published by the American Physical Society 2025

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: 89233218CNA000001; SC0012704

OSTI ID:: 2500398

Report Number(s):: BNL--227500-2025-JAAM; LA-UR--24-31861; 014013

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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