Nonlocal nucleon matrix elements in the rest frame

Karpie, Joe; Monahan, Christopher; Radyushkin, Anatoly

doi:10.1103/PhysRevD.111.054503

Title: Nonlocal nucleon matrix elements in the rest frame

Journal Article · 06 March 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.054503 · OSTI ID:2529497

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Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
College of William and Mary, Williamsburg, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)

Extracting parton structure from lattice quantum chromodynamics (QCD) calculations requires studying the coordinate scale 𝑧₃ dependence of the matrix elements of bilocal operators. The most significant contribution comes from the 𝑧₃ dependence induced by ultraviolet (UV) renormalization of the Wilson line. We demonstrate that the next-to-leading order perturbative calculations of the renormalization factor can describe, to a few percent accuracy, the logarithm of the lattice QCD rest frame matrix elements with separations up to distances of 0.6 fm on multiple lattice spacings. The residual discrepancies can be modeled by a leading effect from the structure of the nucleon.

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Research Organization:: Old Dominion Univ., Norfolk, VA (United States); Temple Univ., Philadelphia, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC); 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; AC05-06OR23177; FG02-97ER41028; SC0023047; SC0023646

OSTI ID:: 2529497

Report Number(s):: DOE/OR/23177-7568; JLAB-THY--24-4126

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 111; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Nonlocal nucleon matrix elements in the rest frame

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