Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks

Journal Article · Sat May 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.094504· OSTI ID:336724

Morningstar, C J ^[1]; Shigemitsu, J ^[2]

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1. Department of Physics, University of California at San Diego, La Jolla, California 92093-0319 (United States)
2. Physics Department, The Ohio State University, Columbus, Ohio 43210 (United States)

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial-vector current are expressed in terms of lattice-regulated operators suitable for simulations of {ital B} and {ital D} mesons. The currents are constructed by matching the appropriate scattering amplitudes in continuum QCD and a lattice model to one-loop order in perturbation theory. In the lattice theory, the heavy quarks are treated using the nonrelativistic (NRQCD) formulation and the light quarks are described by the tadpole-improved clover action. The light quarks are treated as massless. Our currents include relativistic and discretization corrections through O({alpha}{sub s}/M,a{alpha}{sub s}), where {ital M} is the heavy-quark mass, {ital a} is the lattice spacing, and {alpha}{sub s} is the QCD coupling. As in our previous construction of the temporal component of the heavy-light axial-vector current, mixing between several lattice operators is encountered at one-loop order, and O(a{alpha}{sub s}) dimension-four improvement terms are identified. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 336724
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 59; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CURRENTS
D MESONS
LATTICE FIELD THEORY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARKS