First nucleon gluon PDF from large momentum effective theory

Good, William; Yao, Fei; Lin, Huey-Wen

doi:10.1016/j.physletb.2025.140067

First nucleon gluon PDF from large momentum effective theory

Journal Article · Sat Nov 29 00:00:00 EST 2025 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2025.140067· OSTI ID:3011682

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Michigan State Univ., East Lansing, MI (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States)

We report the first nucleon gluon parton distribution function (PDF) using Large-Momentum Effective Theory (LaMET). We focus on the gluon operator which was demonstrated to have the best signal-to-noise in the previous attempt [1] in computing gluon PDFs using LaMET. We compute the corresponding Wilson coefficients needed for the hybrid-renormalized matrix elements and the matching kernel to convert the quasi-PDF to the lightcone one at the one-loop level. We demonstrate that with the proper Wilson coefficients in place, the counterterms for the renormalization are independent of the hadron and mass within statistical error. Using the resulting renormalization, we then compute the nucleon PDF using a HISQ ensemble generated by the MILC collaboration with N_f = 2 + 1 +1, a ≈ 0.12 fm, with valence pion masses of 310 and 690 MeV and two gauge link smearing techniques. Despite the physics effects of the heavier than physical pion masses and gauge link smearing, this calculation provides excellent proof of principle and compares reasonably with selected global fit results.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; SC0012704; SC0024053

OSTI ID:: 3011682

Report Number(s):: BNL--229296-2025-JAAM

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 872; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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