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Electroweak corrections to the charm quark contribution to $K^{+} \to π^{+} ν \bar{ν}$

Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Phys. Rev. D 78, 034006 – Published 8 August, 2008

DOI: https://doi.org/10.1103/PhysRevD.78.034006

Abstract

We compute the leading-log QED, the next-to-leading-log QED-QCD, and the electroweak corrections to the charm quark contribution relevant for the rare decay $K^{+} \to π^{+} ν \bar{ν}$ . The corresponding parameter $P_{c} (X)$ is increased by up to 2% with respect to the pure QCD estimate to $P_{c} (X) = 0.372 \pm 0.015$ for $m_{c} (m_{c}) = (1.286 \pm 0.013) GeV$ , $α_{s} (M_{Z}) = 0.1176 \pm 0.0020$ , and $| V_{u s} | = 0.2255$ . For the branching ratio we find $B (K^{+} \to π^{+} ν \bar{ν}) = (8.5 \pm 0.7) \times 10^{- 11}$ , where the quoted uncertainty is dominated by the Cabibbo-Kobayashi-Maskawa elements.

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Electroweak corrections to the charm quark contribution to $K^{+} \to π^{+} ν \bar{ν}$

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Electroweak corrections to the charm quark contribution to K+→π+νν¯

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Electroweak corrections to the charm quark contribution to $K^{+} \to π^{+} ν \bar{ν}$