B Physics on the Lattice: Present and Future

Abstract

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 $B^0-\overline{B^0}$ 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.

Invited brief review for Mod. Phys. Lett. A. 15 pages. v2: typos corrected, references added

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Cited by in corpus (3)

• Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond
• Precision lattice QCD calculations and predictions of fundamental physics in heavy quark systems
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics