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

摘要

We determine the mass dependent renormalization as well as improvementcoefficients for the heavy-light vector and axial-vector currents consisting ofthe relativistic heavy and the domain-wall light quarks through the standardmatching procedure. The calculation is carried out perturbatively at the oneloop level to remove the systematic error of $O(\alpha_s (am_Q)^n a\p)$ as wellas $O(\alpha_s (am_Q)^n)$ ($n\ge$0), where $\p$ is a typical momentum scale inthe heavy-light system. We point out that renormalization and improvementcoefficients of the heavy-light vector current agree with those of theaxial-vector current, thanks to the exact chiral symmetry for the light quark.The results obtained with three different gauge actions, plaquette, Iwasaki andDBW2, are presented as a function of heavy quark mass and domain-wall height.