O(a) improvement of the HYP static axial and vector currents at one-loop order of perturbation theory

Abstract

We calculate analytically the improvement coefficients of the static axial and vector currents in O(a) improved lattice QCD at one-loop order of perturbation theory. The static quark is described by the hypercubic action, previously introduced in the literature in order to improve the signal-to-noise ratio of static observables. Within a Schroedinger Functional setup, we derive the Feynman rules of the hypercubic link in time-momentum representation. The improvement coefficients are obtained from on-shell correlators of the static axial and vector currents. As a by-product, we localise the minimum of the static self-energy as a function of the smearing parameters of the action at one-loop order and show that the perturbative minimum is close to its non-perturbative counterpart.

24 pages, 7 figures

References in corpus (11)

• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
• Hypercubic Smeared Links for Dynamical Fermions
• On lattice actions for static quarks
• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• Renormalization and O(a)-improvement of the static-light axial current
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Perturbative improvement of staggered fermions using fat links
• Lattice renormalization of the static quark derivative operator
• Non-perturbative renormalization of the static vector current and its O(a)-improvement in quenched QCD

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• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
• The determination of potential scales in 2+1 flavor QCD