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  • Letter
  • Open Access

Moments of parton distribution functions of any order from lattice QCD

Andrea Shindler*

  • *Contact author: shindler@physik.rwth-aachen.de
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Phys. Rev. D 110, L051503 – Published 26 September, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L051503

Abstract

We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators renormalize multiplicatively, and the matching with the physical matrix elements can be obtained using continuum symmetries and the irreducible representations of Euclidean 4-dimensional rotations. We calculate the matching coefficients at one-loop in perturbation theory for moments of any order in the flavor nonsinglet case. We also give specific examples of operators that could be used in lattice QCD computations. It turns out that it is possible to choose operators with identical Lorentz indices and still have a multiplicative matching. One can thus use twist-2 operators exclusively with temporal indices, thus substantially improving the signal-to-noise ratio in the computation of the hadronic matrix elements.

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Outline

Information

Phys. Rev. D 110, L051503– Published 26 September, 2024
  • Received 12 December 2023
  • Revised 21 February 2024
  • Accepted 24 June 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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