Volume 334 -
The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) -
Standard Model Parameters and Renormalization

$Z_\mathrm{S}/Z_\mathrm{P}$ from three-flavour lattice QCD

Full text:
pdf

Published on:
2019 May 29

Abstract

We report on advances in the non-perturbative determination of the ratio $Z_\mathrm{S}/Z_\mathrm{P}$ of the pseudoscalar to the scalar renormalization constants in three-flavour lattice QCD with Wilson-clover quarks and tree-level Symanzik improved gluons. The computations are based on the Ward identity approach, using Schrödinger functional boundary conditions. Our results for $Z_\mathrm{S}/Z_\mathrm{P}$ cover a range of couplings along a line of constant physics with lattice spacings of about $0.09\,$fm and below, relevant for phenomenological applications such as the calculation of renormalized quark masses.

DOI: https://doi.org/10.22323/1.334.0217

Open Access

Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.