Speaker
Description
We present preliminary results for B-physics from a combination of non-perturbative results in the static limit with relativistic computations satisfying $am_{\rm heavy}<<1$. Relativistic computations are carried out at the physical b-quark mass using the Schrödinger Functional in a $(0.5~{\rm fm})^4$ box. They are connected to large volume observables through step scaling functions that trace the mass dependence between the physical charm region and the static limit, such that B-physics results can be obtained by interpolation; the procedure is designed to exactly cancel the troublesome $\alpha_s(m_{\rm heavy})^{n+\gamma}$ corrections to large mass scaling. Large volume computations for both static and relativistic quantities use CLS $N_f=2+1$ ensembles at $m_u=m_d=m_s$, and with five values of the lattice spacing down to 0.039 fm.
Our preliminary results for the b-quark mass and leptonic decay constants have competitive uncertainties, which are furthermore dominated by statistics, allowing for substantial future improvement. This talk focusses on numerical results, while the underlying strategy is discussed in detail in a companion talk.
| Topical area | Standard Model Parameters |
|---|