$K_{l 3}$ Semileptonic Form Factor from ( $2 + 1$ )-Flavor Lattice QCD

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9 April 2008

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

Vol. 100 (14) , 141601
https://doi.org/10.1103/physrevlett.100.141601

Abstract

We present the first results for the

K_{l 3}

form factor from simulations with

2 + 1

flavors of dynamical domain wall quarks. Combining our result, namely,

f_{+} (0) = 0.964 (5)

with the latest experimental results for

K_{l 3}

decays leads to

| V_{u s} | = 0.2249 (14)

, reducing the uncertaintity in this important parameter. For the

O (p^{6})

term in the chiral expansion we obtain

Δ f = - 0.013 (5)

.

Keywords

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