Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-04-28
Mod.Phys.Lett. A21 (2006) 1167-1182
Physics
High Energy Physics
High Energy Physics - Phenomenology
Invited brief review for Mod. Phys. Lett. A. 15 pages. v2: typos corrected, references added
Scientific paper
10.1142/S0217732306020688
Recent experimental measurements and lattice QCD calculations are now reaching the precision (and accuracy) needed to over-constrain the CKM parameters $\bar\rho$ and $\bar\eta$. In this brief review, I discuss the current status of lattice QCD calculations needed to connect the experimental measurements of $B$ meson properties to quark flavor-changing parameters. Special attention is given to $B\to\pi\ell\nu$, which is becoming a competitive way to determine $|V_{ub}|$, and to $B^0-\bar{B^0}$ mixings, which now include reliable extrapolation to the physical light quark mass. The combination of the recent measurement of the $B_s$ mass difference and current lattice calculations dramatically reduces the uncertainty in $|V_{td}|$. I present an outlook for reducing dominant lattice QCD uncertainties entering CKM fits, and I remark on lattice calculations for other decay channels.
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