A perturbative determination of mass dependent image improvement coefficients in a relativistic heavy quark action Original Research Article

We present the results for a perturbative determination of mass dependent improvement coefficients ν, image, image and image in a relativistic heavy quark action, which we have designed to control image errors by extending the on-shell image improvement program to the case of image, where image is the heavy quark mass. The parameters ν and image are determined from the quark propagator and image and image are from the on-shell quark–quark scattering amplitude. We show that all the parameters, together with the quark wave function and the mass renormalization factors, are determined free from infrared divergences once their tree level values are properly tuned. Results of these parameters are shown as a function of image for various improved gauge actions.