Lattice inputs for the determination of $|V_{cd}|$ and $|V_{cs}|$ from (semi-)leptonic decays

TL;DR

This review summarizes recent lattice QCD calculations of decay constants and form factors for D and D_s mesons, aiding precise determination of CKM matrix elements |V_cd| and |V_cs| from experimental data.

Contribution

It compiles and discusses recent lattice QCD results for meson decay constants and form factors relevant to CKM element extraction.

Findings

Lattice QCD provides precise decay constants and form factors.

Comparison of lattice form factors with experimental data validates theoretical models.

Full q^2 range analysis improves CKM matrix element accuracy.

Abstract

This paper is a review of recent lattice QCD results for $D$ and $D_s$ meson leptonic and semileptonic decays. The theory inputs needed for the determination of $V_{cd}$ and $V_{cs}$ from experimental results are the meson decay constants (leptonic decays) and the form factors (semileptonic decays). In addition one can compare the shape of the form factors from lattice QCD and experiment, and use the full experimental $q^2$ range (partial decay rates in $q^2$ bins) to determine the CKM matrix elements.