Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks

TL;DR

This paper calculates the decay constants of pi and K mesons using full lattice QCD with physical quark masses, providing precise values that test the CKM matrix unitarity.

Contribution

It presents a high-precision determination of the ratio f_K+/f_pi+ and the CKM matrix element |V_us| using advanced lattice QCD techniques with physical u, d, s, and c quarks.

Findings

f_K+/f_pi+ = 1.1916(21)

|V_us| = 0.22564(28)

CKM unitarity test result: 0.00009(51)

Abstract

We determine the decay constants of the pi and K mesons on gluon field configurations from the MILC collaboration including u, d, s and c quarks. We use three values of the lattice spacing and u/d quark masses going down to the physical value. We use the w_0 parameter to fix the relative lattice spacing and f_pi to fix the overall scale. This allows us to obtain a value for f{K^+}/f{pi^+} = 1.1916(21). Comparing to the ratio of experimental leptonic decay rates gives |Vus| = 0.22564(28){Br(K^+)}(20){EM}(40){latt}(5){Vud} and the test of unitarity of the first row of the Cabibbo-Kobayashi-Maskawa matrix: |Vud|^2+|Vus|^2+|Vub|^2 - 1 = 0.00009(51).