Tadpole-Improved Perturbation Theory for Heavy-Light Lattice Operators

Abstract

Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the determination of these properties has been uncertainty in the normalization of the lattice-regularized operators that appear in the matrix elements. Tadpole-improved perturbation theory, as formulated by Lepage and Mackenzie, promises to reduce these uncertainties below the ten per cent level at one-loop. In this paper we study this proposal as it applies to lattice-regularized heavy-light operators. We consider both the commonly used zero-distance bilinear and the distance-one point-split operator. A self-contained section on the application of these results is included. The calculation reduces the value of $f_B$ obtained from lattice calculations using the heavy quark effective theory.

14 pages, Physical Review D version after incorporating the referee's suggestions

References in corpus (5)

• On the Viability of Lattice Perturbation Theory
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Two-loop renormalization of the effective field theory of a static quark
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• Point-Split Lattice Operators for B Decays

Cited by in corpus (31)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Massive Fermions in Lattice Gauge Theory
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• Non-Leptonic Two-Body B Decays Beyond Factorization
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Lattice Calculation of Heavy-Light Decay Constants with Two Flavors of Dynamical Quarks
• Properties of B-Mesons in Lattice QCD
• Lattice Determination of Heavy-Light Decay Constants
• One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD
• B Meson Decay Constants From NRQCD
• $B-\bar{B}$ Mixing in the HQET
• Calculation of the continuum--lattice HQET matching for the complete basis of four--fermion operators: reanalysis of the $B^0$-${\bar{B}}^0$ mixing
• Sea quark effects in B Spectroscopy and Decay Constants
• B meson leptonic decay constant with quenched lattice NRQCD
• A Covariant OBE Model for $\eta$ Production in NN Collisions
• Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD
• Perturbative Renormalization Factors of Bilinear Operators for Massive Wilson Quarks on the Lattice
• A calculation of the $B_B$ parameter in the static limit
• Scaling and Further Tests of Heavy Meson Decay Constant Determinations from Nonrelativistic QCD
• Recent Theoretical Developments in CP Violation in the B System
• Lattice results for the decay constant of heavy-light vector mesons
• On The pp->ppη(eta') Reactions Near Threshold
• Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions
• Searching for chiral logs in the static-light decay constant
• A calculation of the Lepage-Mackenzie scale for the lattice axial and vector currents
• B Meson Decay Constants Using NRQCD
• One loop renormalisation of Lattice NRQCD currents for semileptonic $B\to D^{(\ast )}$ decays to order $\frac{\vec{p}}{M}$
• S-wave ${\pi }^0$ Production in pp Collision in a Covariant OBE Model
• Scaling behavior of $f_B$ with NRQCD
• One-loop renormalization of heavy-light currents
• A Study of the Static-Light $B_B$ Parameter