O(a) improved quark mass renormalization for a non-perturbative matching of HQET to three-flavor QCD

2018/11/06 by Fritzsch, Patrick, Heitger, Jochen, Kuberski, Simon
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1811.02591

Abstract

The use of Heavy Quark Effective Theory (HQET) on the lattice as an approach to B-physics phenomenology is based on a non-perturbative matching of HQET to QCD in finite volume. As a first step to apply the underlying strategy in the three-flavor (N_f = 2+1) theory, we determine the renormalization constant and improvement coefficients relating the renormalized current and subtracted quark mass of (quenched) valence quarks in O(a) improved N_f=3 lattice QCD. We present our strategy and first results for the relevant parameter region towards weak couplings along a line of constant physics, which corresponds to lattice resolutions a≤ 0.02 fm and fixes the physical extent of the matching volume to L≈ 0.5 fm.

Related

• Non-perturbative QCD: renormalization, O(a)-improvement and matching to Heavy Quark Effective Theory
• The n_f=2 residual mass in lattice HQET to alpha³ order
• Prospects and status of quark mass renormalization in three-flavour QCD
• Non-perturbative renormalization of O(a) improved tensor currents
• Non-perturbative tests of HQET in small-volume quenched QCD