Precision for B-meson matrix elements

Understand

We demonstrate how HQET and the Step Scaling Method for B-physics, pioneered by the Tor Vergata group, can be combined to reach a further improved precision.

• The observables considered are the mass of the b-quark and the B_s-meson decay constant.
• The demonstration is carried out in quenched lattice QCD.
• We start from a small volume, where one can use a standard O(a)-improved relativistic action for the b-quark, and compute two step scaling functions which relate the observables to the large volume ones.