Chiral and trace anomalies in deeply virtual Compton scattering

Bhattacharya, Shohini; Hatta, Yoshitaka; Vogelsang, Werner

doi:10.1103/PhysRevD.107.014026

Title: Chiral and trace anomalies in deeply virtual Compton scattering

Journal Article · Fri Jan 27 00:00:00 EST 2023 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.107.014026· OSTI ID:1922530

; Hatta, Yoshitaka; Vogelsang, Werner

Inspired by recent work by Tarasov and Venugopalan, we calculate the one-loop quark box diagrams relevant to polarized and unpolarized deep inelastic scattering (DIS) by introducing off-forward momentum l^μ as an infrared regulator. In the polarized case, we rederive the pole 1/l² related to the axial (chiral) anomaly. In addition, we obtain the usual logarithmic term and the DIS coefficient function. We interpret the result in terms of the generalized parton distributions (GPDs) $$\tilde{H}$$ and $$\tilde{E}$$ and discuss the possible violation of QCD factorization for the Compton scattering amplitude. Remarkably, we also find poles in the unpolarized case which are remnants of the trace anomaly. We argue that these poles are canceled by the would-be massless glueball poles in the GPDs H and E as well as in their moments, the nucleon gravitational form factors A, B and D. This mechanism sheds light on the connection between the gravitational form factors and the gluon condensate operator F^μνF_μν.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); German Research Foundation (DFG)

Grant/Contract Number:: SC0012704

OSTI ID:: 1922530

Alternate ID(s):: OSTI ID: 1969923

Report Number(s):: BNL-224236-2023-JAAM; PRVDAQ; 014026

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 107 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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