Two-loop electroweak corrections for theK→πνν¯decays

2010/09/30 by Joachim Brod, Martin Gorbahn, Emmanuel Stamou · 5 citations
Physics and Astronomy · #Electroweak interaction #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.83.034030

published as Phys.Rev.D83:034030,2011 · 20 pages, 6 figures; typos corrected, updated numerics using input from PDG 2010, version as published in PRD

openalex publication_date 2011/02/22 · arxiv created 2011/03/01 · arxiv updated 2011/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The rare K\ensuremath→\ensuremathπ\ensuremathν\ensuremathν 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\ensuremath→\ensuremathπ⁰\ensuremathν\ensuremathν, K⁺\ensuremath→\ensuremathπ⁺\ensuremathν\ensuremathν, and B\ensuremath→X_d,s\ensuremathν\ensuremathν 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\ensuremath→\ensuremathπ⁰\ensuremathν\ensuremathν)=2.43(39)(6)\ifmmode×\else\texttimes\fi10^\ensuremath-11 and Br(K⁺\ensuremath→\ensuremathπ⁺\ensuremathν\ensuremathν)=7.81(75)(29)\ifmmode×\else\texttimes\fi10^\ensuremath-11. The first error summarizes the parametric, the second the remaining theoretical uncertainties.

Citations

• New features of FORM
• Electroweak effects in the mixing
• CP violation and the CKM matrix: assessing the impact of the asymmetric B factories
• vs. pole masses of gauge bosons II: two-loop electroweak fermion corrections
• Improved estimates of rareKdecay matrix elements fromKℓ3decays
• Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula0
• Review of Particle Physics
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Combination of CDF and D0 Results on the Mass of the Top Quark

Cited by

• Experiments with -meson decays
• Flavour issues in warped custodial models: B anomalies and rare K decays
• R^ν_K^(*) and non-standard neutrino interactions
• Kaon decays in the standard model
• Standard Model predictions for B→Kℓ+ℓ−, B→Kℓ1−ℓ2+ and B→Kνν¯ using form factors from Nf=2+1+1 lattice QCD