Non-perturbative renormalization of the static axial current in two-flavour QCD

Abstract

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory to the renormalization group invariant one is evaluated in the Schroedinger functional scheme, where in this case we find a significant deviation of the non-perturbative running from the perturbative prediction. An important technical ingredient to improve the precision of the results consists in the use of modified discretizations of the static quark action introduced earlier by our collaboration. As an illustration how to apply the renormalization of the static axial current presented here, we connect the bare matrix element of the current to the B_s-meson decay constant in the static approximation for one value of the lattice spacing, a ~ 0.08 fm, employing large-volume N_f=2 data at beta=5.3.

arXiv comment33 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions, results unchanged

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Cited by in corpus (14)

• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• On cutoff effects in lattice QCD from short to long distances
• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
• Non-perturbative renormalization of the static axial current in two-flavour QCD
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• A one-loop study of matching conditions for static-light flavor currents
• Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD
• Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
• Two-loop renormalization of fermion bilinear operators on the lattice
• Study of 1/m corrections in HQET
• B $\to$ $\pi$ form factor with 2 flavours of $O(a)$ improved Wilson quarks
• Non-perturbative Heavy Quark Effective Theory: An application to semi-leptonic B-decays