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

@article{Brod2010TwoLoopEC, title={Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays}, author={J. Brod and M. Gorbahn and Emmanuel Stamou}, journal={Physical Review D}, year={2010} }

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… Expand

#### 132 Citations

Theory of b --> s/d nu anti-nu

- Physics
- 2010

The b --> s nu anti-nu transitions are sensitive probes of new physics (NP) in the form of non-standard Z penguin effects. They involve four experimentally accessible observables, among which the… Expand

$K_L \to \pi^0 \nu {\bar \nu}$ decay correlating with $\epsilon_K$ in high-scale SUSY

- Physics
- 2015

We have studied the contribution of the high-scale SUSY to the K_L to pi^0 nu{bar nu} and K^+ to pi^+ nu{bar nu} processes correlating with the CP violating parameter epsilon_K. Taking account of the… Expand

An explicit Z′-boson explanation of the B → K∗μ+μ− anomaly

- Physics
- 2013

A bstractA global fit to the recent B → K∗μ+μ− data shows indications for a large new-physics contribution to the Wilson coefficient of the semi-leptonic vector operator. In this article we consider… Expand

Emerging lattice approach to the K-Unitarity Triangle

- Physics
- 2016

Abstract It has been clear for the past several years that new physics in the quark sector can only appear, in low energy observables, as a perturbation. Therefore precise theoretical predictions and… Expand

Particle-antiparticle mixing, CP violation and rare K and B decays in a minimal theory of fermion masses

- Physics
- 2013

A bstractWe present a detailed study of ΔF = 2 observables and of rare K+(KL) and Bs,d meson decays in a “Minimal Theory of Fermion Masses” (MTFM). In this theory Yukawa couplings are generated… Expand

Theoretical perspective on the NA62 physics program

- Physics
- 2010

Soon the NA62 experiment will start looking for the rare K+ ---> pi+ nu nu bar decay. In this talk, its theoretical interests, together with those of the neutral rare decays KL ---> pi0 nu nu bar, KL… Expand

Leptoquarks meet ε′/ε and rare Kaon processes

- Physics
- 2018

A bstractWe analyse for the first time the CP violating ratio ε′/ε in K → ππ decays in leptoquark (LQ) models. Assuming a mass gap to the electroweak (EW) scale, the main mechanism for LQs to… Expand

New Physics Signatures in Kaon Decays

- Physics
- 2013

Kaon physics provides a unique opportunity to identify new flavour and CP violating interactions beyond the Standard Model (SM). In the SM, implied by the hierarchical structure of the CKM matrix and… Expand

Rare $B$ Decays as Tests of the Standard Model

- Physics
- 2016

One of the most interesting puzzles in particle physics today is that new physics is expected at the TeV energy scale to solve the hierarchy problem, and stabilise the Higgs mass, but so far no… Expand

On the Standard Model prediction for $\mathcal{B}(B_{s,d} \to \mu^{+} \mu^{-})$

- Physics
- 2012

The decay Bs→μ+μ− is one of the milestones of the flavor program at the LHC. We reappraise its Standard Model prediction. First, by analyzing the theoretical rate in the light of its main parametric… Expand

#### References

SHOWING 1-10 OF 109 REFERENCES

Electroweak Corrections to the Charm Quark Contribution to K+ ---> pi+ nu anti-nu

- Physics
- 2008

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+ -> pi+ nu nu-bar. The corresponding… Expand

Light-quark Loops in K->pi nu nu

- Physics
- 2005

We present a comprehensive analysis of the contributions to K->pi nu nu decays not described by the leading dimension-six effective Hamiltonian. These include both dimension-eight four-fermion… Expand

Two-Loop Large-m t Electroweak Corrections to K → πνν̄ for Arbitrary Higgs Boson Mass ∗

- 1997

We consider for the rst time the leading large top mass corrections, arising at higher order in electroweak interactions, to the rare decays K ! and the related modes B ! Xs and B ! ll . Higher… Expand

The rare decays K+ → π+νν and KL → μ+μ− beyond leading logarithms

- Physics
- 1994

Abstract We analyze the branching ratio for the FCNC mode K + → π + ν ν in the standard model with QCD effects taken into account consistently to next-to-leading order. This involves a two-loop… Expand

Charm Quark Contribution to K + ! + ¯ at Next-to-Next-to-Leading Order

- Physics
- 2008

We calculate the charm-quark contribution to the decay KL → μ μ in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter Pc from… Expand

QCD corrections to the dZ vertex for arbitrary top quark mass

- Physics
- 1993

We calculate strong interaction O(αs) corrections to the effective one-loop induced neutral flavour changing vertex sdZ for an arbitrary top quark mass in 't Hooft-Feynman gauge for the W-field. This… Expand

Rare decay K+ --> pi+ nunu at the next-to-next-to-leading order in QCD.

- Physics, Medicine
- Physical review letters
- 2005

The charm quark contribution to the rare decay Kappa(+)--> pi(+) nunu in the next-to-next- to-leading order of QCD is calculated and reduces the theoretical uncertainty in the relevant parameter Pc from +/-10.1% down to +/-2.4%. Expand

Electroweak effects in the B 0 − B̄ 0 mixing 1

- 1998

We compute analytically the complete electroweak two-loop corrections to the B0−B̄0 mixing. These corrections fix the normalization of the electroweak coupling employed in the extraction of |Vtd| and… Expand

QCD corrections to FCNC decays mediated by Z penguins and W boxes

- Physics
- 1999

Abstract QCD corrections are evaluated to FCNC processes like B→X s ν ν , K→πν ν , B→l+l− or KL→μ+μ−, i.e. to processes mediated by effective operators containing neutrino currents or axial leptonic… Expand

The Rare Decay K + → π + νν̄ at the Next-to-Next-to-Leading Order in QCD

- 2005

We calculate the complete next-to-next-to-leading order QCD correction of the charm quark contribution to the branching ratio for the rare decay K + → π + ν ¯ ν in the standard model. The inclusion… Expand