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arXiv · 1009.0947

Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays

Joachim Brod·Martin Gorbahn·Emmanuel Stamou
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Abstract

The rare K -> pi nu anti-nu decays play a central role in testing the Standard Model and its extensions. Upcoming experiments plan to measure the decay rates with high accuracy. Yet, unknown higher-order electroweak corrections result in a sizeable theory error. We remove this uncertainty by computing the full two-loop electroweak corrections to the top-quark contribution X_t to the rare decays K_L -> pi0 nu anti-nu, K+ -> pi+ nu anti-nu, and B -> X_{d,s} nu anti-nu in the Standard Model. The remaining theoretical uncertainty related to electroweak effects is now far below 1%. Finally we update the branching ratios to find Br(K_L -> pi0 nu anti-nu) = 2.43(39)(6) * 10^-11 and Br(K+ -> pi+ nu anti-nu) = 7.81(75)(29) * 10^-11. The first error summarises the parametric, the second the remaining theoretical uncertainties.

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Joachim Brod, Martin Gorbahn, Emmanuel Stamou. 2011-03-01. Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays. https://doi.org/10.1103/physrevd.83.034030

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