Towards precise relativistic b quarks on the lattice

Abstract

We discuss the status of our ongoing efforts to improve on our calculation of the $D_s$ decay constant. We show preliminary results on the ratio of the charm to the strange quark mass. We also present preliminary results for spectroscopy, decay constants and bottom quark mass obtained by performing calculations with highly improved staggered quarks at masses above the c mass and close to the b mass.

8 pages. Contribution to 27th International Symposium on Lattice Field Theory, Beijing, China, 2009