Precise Determination of $| V_{u s} |$ from Lattice Calculations of Pseudoscalar Decay Constants

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1 December 2004

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 93 (23) , 231803
https://doi.org/10.1103/physrevlett.93.231803

Abstract

Combining the ratio of experimental kaon and pion decay widths,

Γ (K \to μ {\bar{ν}}_{μ} (γ)) / Γ (π \to μ {\bar{ν}}_{μ} (γ))

, with a recent lattice gauge theory calculation of

f_{K} / f_{π}

provides a precise value for the Cabibbo-Kobayashi-Maskawa quark mixing matrix element

| V_{u s} | = 0.2219 (25)

or if three generation unitarity is assumed

| V_{u s} | = 0.222 1 (24)

. Comparison with other determinations of that fundamental parameter, implications, and an outlook for future improvements are given.

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Version 1, 2004-02-27, ArXiv

This publication has 28 references indexed in Scilit:

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