Constraints on new physics from $K\to \pi \nu \bar{\nu }$

Abstract

We study generic effects of new physics on the rare decay modes $K_L\to {\pi }^0\nu \bar{\nu }$ and $K^{+}\to {\pi }^{+}\nu \bar{\nu }$. We discuss several cases: left-handed neutrino couplings; right handed neutrino couplings; neutrino lepton flavour violating (LFV) interactions; and $\Delta I=3/2$ interactions. The first of these cases has been studied before as it covers many new physics extensions of the standard model; the second one requires the existence of a new light (sterile) right-handed neutrino and its contribution to both branching ratios is always additive to the SM. The case of neutrino LFV couplings introduces a CP conserving contribution to $K_L\to {\pi }^0\nu \bar{\nu }$ which affects the rates in a similar manner as a right handed neutrino as neither one of these interferes with the standard model amplitudes. Finally, we consider new physics with $\Delta I=3/2$ interactions to go beyond the Grossman-Nir bound. We find that the rare kaon rates are only sensitive to new physics scales up to a few GeV for this scenario.

References in corpus (10)

• The trouble with $H_0$
• Study of the decay K+ => pi+,nu,nubar in the momentum region 140<Ppi<199 MeV/c
• Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays
• Improved estimates of rare K decay matrix-elements from Kl3 decays
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Cited by in corpus (13)

• Search for $K_L\to {\pi }^0\nu \overline{\nu }$ and $K_L\to {\pi }^0{X}^0$ Decays at the J-PARC KOTO Experiment
• Explaining $(g-2{)}_{\mu ,e}$, the KOTO anomaly and the MiniBooNE excess in an extended Higgs model with sterile neutrinos
• $R_{K^{(\ast )}}^{\nu }$ and non-standard neutrino interactions
• Reflecting on chirality: CP-violating extensions of the single scalar-leptoquark solutions for the $(g-2{)}_{e,\mu }$ puzzles and their implications for lepton EDMs
• Implication of $K\to \pi \nu \bar{\nu }$ for generic neutrino interactions in effective field theories
• Rare hyperon decays with missing energy
• Lepton-flavor-violating semileptonic $\tau$ decay and $K\to \pi \nu \bar{\nu }$
• Exploring leptoquark effects in hyperon and kaon decays with missing energy
• Evading the Grossman-Nir bound with $\Delta I=3/2$ new physics
• Breaking the Grossman-Nir Bound in Kaon Decays
• LHC constraints on $W^{\prime },Z^{\prime }$ that couple mainly to third generation fermions
• ${\Sigma }^{+}\to p{\ell }^{+}{\ell }^{-}$ decays within the standard model and beyond
• New Physics Searches at Kaon and Hyperon Factories