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

TL;DR

This paper employs lattice QCD to precisely determine the CKM matrix elements, combining recent lattice form factor results with experimental data to enhance our understanding of quark flavor mixing.

Contribution

It provides a comprehensive determination of the CKM matrix elements using lattice QCD and experimental data, improving the precision of quark flavor mixing parameters.

Findings

Direct determination of |V_{cd}|, |V_{cs}|, |V_{ub}|, |V_{cb}|, |V_{us}| from lattice form factors.

Additional CKM elements derived via unitarity and experimental sin(2beta) measurements.

Enhanced precision in CKM matrix element values.

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).