Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD

Abstract

We non-perturbatively determine the renormalization constant and the improvement coefficients relating the renormalized current and subtracted quark mass in O(a) improved two-flavour lattice QCD. We employ the Schrödinger functional scheme and fix the physical extent of the box by working at a constant value of the renormalized coupling. Our calculation yields results which cover two regions of bare parameter space. One is the weak-coupling region suitable for volumes of about half a fermi. By making simulations in this region, quarks as heavy as the bottom can be propagated with the full relativistic QCD action and renormalization problems in HQET can be solved non-perturbatively by a matching to QCD in finite volume. The other region refers to the common parameter range in large-volume simulations of two-flavour lattice QCD, where our results have particular relevance for charm physics applications.

31 pages including figures and tables, latex2e, uses JHEP3.cls; revised version published in JHEP, clarifying remarks and references added; typo(s) corrected, especially in eq. (3.10)

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• On cutoff effects in lattice QCD from short to long distances
• Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD
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• On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Probing the chiral regime of Nf=2 QCD with mixed actions
• $|V_{ub}|$ determination in lattice QCD
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Determination of c_sw in N_f=3+1 Lattice QCD with massive Wilson fermions