${K}_{l3}$ Semileptonic Form Factor from ($2+1$)-Flavor Lattice QCD

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

P. A. Boyle, A. Jüttner, R. D. Kenway, C. T. Sachrajda, S. Sasaki, A. Soni, R. J. Tweedie, and J. M. Zanotti (RBC+UKQCD Collaborations)

Phys. Rev. Lett. 100, 141601 – Published 9 April 2008

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 $Δ f = - 0.013 (5)$ .

Received 26 October 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.141601

Authors & Affiliations

P. A. Boyle¹, A. Jüttner², R. D. Kenway¹, C. T. Sachrajda³, S. Sasaki^4,5, A. Soni⁶, R. J. Tweedie¹, and J. M. Zanotti¹ (RBC+UKQCD Collaborations)

¹School of Physics, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
²Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
³School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom
⁴RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
⁵Department of Physics, University of Tokyo, Tokyo 113-0033, Japan
⁶Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

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Vol. 100, Iss. 14 — 11 April 2008

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Physical Review Letters

Kl3 Semileptonic Form Factor from (2+1)-Flavor Lattice QCD

P. A. Boyle, A. Jüttner, R. D. Kenway, C. T. Sachrajda, S. Sasaki, A. Soni, R. J. Tweedie, and J. M. Zanotti (RBC+UKQCD Collaborations)

Phys. Rev. Lett. 100, 141601 – Published 9 April 2008

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