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

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.

20 pages, 6 figures; typos corrected, updated numerics using input from PDG 2010, version as published in PRD

References in corpus (3)

• Improved estimates of rare K decay matrix-elements from Kl3 decays
• Electroweak Corrections to the Charm Quark Contribution to K+ -> pi+ nu nu-bar
• Combination of CDF and D0 Results on the Mass of the Top Quark

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• $K_L\to {\pi }^0\nu \bar{\nu }$ decay correlating with ${\epsilon }_K$ in high-scale SUSY
• NA62 experiment at CERN SPS
• The Challenges of Flavour Physics
• Theory of b --> s/d nu anti-nu
• Flavour Theory and the LHC Era
• Theoretical overview of kaon decays
• Theoretical perspective on the NA62 physics program
• Updated $B_q\to \bar{\ell }\ell$ in the standard model at higher orders
• Rare Kaon Decays with NA48/2 and NA62 at CERN
• Kaon Physics: Theory Overview
• Summary of the CKM 2014 working group on rare decays