Nonperturbative renormalization with interpolating momentum schemes

Garron, N ORCID: 0000-0002-4428-3984, Cahill, C, Gorbahn, M, Gracey, JA ORCID: 0000-0002-9101-2853 and Rakow, PEL ORCID: 0000-0003-4486-2158 (2023) Nonperturbative renormalization with interpolating momentum schemes. Physical Review D, 108 (1). 014509-.

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Abstract

Hadronic matrix elements evaluated on the lattice can be converted to a continuum scheme such as MS¯ using intermediate nonperturbative renormalization schemes. Discretization effects on the lattice and convergence of the continuum perturbation theory are both scheme dependent and we explore this dependence in the framework of the Rome-Southampton method for generalized kinematics. In particular, we implement several nonexceptional interpolating momentum schemes, where the momentum transfer is not restricted to the symmetric point defined in RI/SMOM. Using flavor nonsinglet quark bilinears, we compute the renormalization factors of the quark mass and wave function for Nf=3 flavors of dynamical quarks. We investigate the perturbative and nonperturbative scale dependencies. Our numerical results are obtained from lattice simulations performed with domain-wall fermions, based on ensembles generated by RBC-UKQCD collaborations; we use two different lattice spacings 1/a∼1.79 and 2.38 GeV. We also give the numerical values for the relevant anomalous dimensions and matching coefficients at next-to-next-to-leading order.

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	02 Oct 2023 14:53
Last Modified:	15 Mar 2024 02:20
DOI:	10.1103/physrevd.108.014509
Open Access URL:	https://doi.org/10.1103/PhysRevD.108.014509
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3173310