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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
J. Heitger, F. Joswig,* A. Vladikas
*corresponding author
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Published on: 2019 May 29
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.
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