Nonperturbative renormalization with interpolating momentum schemes

Garron, N. (2023) Nonperturbative renormalization with interpolating momentum schemes. Physical Review D, 108. ISSN 2470-0010

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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
Faculty / Department: Faculty of Human and Digital Sciences > Mathematics and Computer Science
Depositing User: Nicolas Garron
Date Deposited: 15 May 2024 13:01
Last Modified: 15 May 2024 13:01
URI: https://hira.hope.ac.uk/id/eprint/4240

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