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DOE OSTI ยท 2529497

Nonlocal nucleon matrix elements in the rest frame

Karpie, Joe [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)] (ORCID:0000000189999014)ยทMonahan, Christopher [College of William and Mary, Williamsburg, VA (United States)] (ORCID:0000000151423490)ยทRadyushkin, Anatoly [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)] (ORCID:0000000293261300)
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Abstract

Extracting parton structure from lattice quantum chromodynamics (QCD) calculations requires studying the coordinate scale ๐‘ง 3 dependence of the matrix elements of bilocal operators. The most significant contribution comes from the ๐‘ง 3 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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSlattice QCDparton distribution functionsperturbative QCDquantum chromodynamicsrenormalization

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Karpie, Joe [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)] (ORCID:0000000189999014), Monahan, Christopher [College of William and Mary, Williamsburg, VA (United States)] (ORCID:0000000151423490), Radyushkin, Anatoly [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)] (ORCID:0000000293261300). 2025-03-07. Nonlocal nucleon matrix elements in the rest frame. https://doi.org/10.1103/physrevd.111.054503

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