Lattice renormalization of the static quark derivative operator

Abstract

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors ${\tau }_{1/2}(1)$ and ${\tau }_{3/2}(1)$. Those corrections induce an enhancement of renormalized quantities if an hypercubic blocking is applied to the Wilson line, whereas there is a reduction without such a blocking.

References in corpus (9)

• Heavy Quark Symmetry
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Lattice Perturbation Theory
• On lattice actions for static quarks
• New Exact Heavy Quark Sum Rules
• Perturbative matching of staggered four-fermion operators with hypercubic fat links
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• Perturbative improvement of staggered fermions using fat links
• Lattice measurement of the Isgur-Wise functions tau_1/2 and tau_3/2

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• Decay constants of P-wave heavy-light mesons from unquenched lattice QCD
• O(a) improvement of the HYP static axial and vector currents at one-loop order of perturbation theory
• Lattice renormalisation of O(a) improved heavy-light operators: an addendum
• Lattice renormalisation of O(a) improved heavy-light operators
• B \to D'_0 (D'_1)\ell \bar νdecays in HQEFT