Perturbative determination of mass-dependent renormalization and improvement coefficients for the heavy–light vector and axial-vector currents with relativistic heavy and domain-wall light quarks Original Research Article

We determine the mass-dependent renormalization as well as improvement coefficients for the heavy–light vector and axial-vector currents consisting of the relativistic heavy and the domain-wall light quarks through the standard matching procedure. The calculation is carried out perturbatively at the one-loop level to remove the systematic error of image as well as image (image), where image is a typical momentum scale in the heavy–light system. We point out that renormalization and improvement coefficients of the heavy–light vector current agree with those of the axial-vector current, thanks to the exact chiral symmetry for the light quark. The results obtained with three different gauge actions, plaquette, Iwasaki and DBW2, are presented as a function of heavy quark mass and domain-wall height.