Generalized parton distributions and gravitational form factors at large momentum transfer

Hatta, Yoshitaka; Schoenleber, Jakob

doi:10.1007/jhep12(2025)058

Generalized parton distributions and gravitational form factors at large momentum transfer

Journal Article · Wed Dec 10 00:00:00 EST 2025 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2025)058· OSTI ID:3010979

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Brookhaven National Laboratory (BNL), Upton, NY (United States)

Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (α_s ln²( –t))ⁿ to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer t, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln Q² and ln² t in exclusive processes with two hard scales Λ$$^{2}_{QCD}$$ ≪ |t| ≪ Q². We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the x-dependence of GPDs factorizes at large-t with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order α_s power-law t-dependence in the GPD and the D-type GFF that will dominate over the standard order α$$^{2}_{s}$$ ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of t.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0012704

OSTI ID:: 3010979

Report Number(s):: BNL--229282-2025-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2025; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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