B, D, K decays and CKM matrix from lattice QCD

Abstract

We use lattice QCD to fully determine the CKM matrix. |V_{cd}|, |V_{cs}|, |V_{ub}|, |V_{cb}| and |V_{us}| are, respectively, directly determined with recent lattice results for form factors of semileptonic D->pi l nu, D->K l nu, B->pi l nu, B->D l nu and K->pi l nu decays obtained by the Fermilab Lattice, MILC, and HPQCD Collaborations. In addition, |V_{ud}|, |V_{tb}|, |V_{ts}| and |V_{td}| are determined by using unitarity of the CKM matrix and the experimental result for sin(2beta).