$K_L\to {\pi }^0\nu \bar{\nu }$ Beyond the Standard Model

Abstract

We analyze the decay $K_L\to {\pi }^0\nu \bar{\nu }$ in a model independent way. If lepton flavor is conserved the final state is (to a good approximation) purely CP even. In that case this decay mode goes mainly through CP violating interference between mixing and decay. Consequently, a theoretically clean relation between the measured rate and electroweak parameters holds in any given model. Specifically, $\Gamma (K_L\to {\pi }^0\nu \bar{\nu })/\Gamma (K^{+}\to {\pi }^{+}\nu \bar{\nu })={\sin }^2\theta$ (up to known isospin corrections), where $\theta$ is the relative CP violating phase between the $K-\bar{K}$ mixing amplitude and the $s\to d\nu \bar{\nu }$ decay amplitude. The experimental bound on $BR(K^{+}\to {\pi }^{+}\nu \bar{\nu })$ provides a model independent upper bound: $BR(K_L\to {\pi }^0\nu \bar{\nu })<1.1\times 10^{-8}$. In models with lepton flavor violation, the final state is not necessarily a CP eigenstate. Then CP conserving contributions can dominate the decay rate.

12 pages, revtex, no figures

References in corpus (14)

• Model independent constraints on leptoquarks from rare processes
• The Rare Decays $K^{+}\to {\pi }^{+}\nu \bar{\nu }$\ and $K_L\to {\mu }^{+}{\mu }^{-}$\ Beyond Leading Logarithms
• $K\to \pi \nu \bar{\nu }$ and High Precision Determinations of the CKM Matrix
• First limit on inclusive $B\to X_s\nu \bar{\nu }$ decay and constraints on new physics
• The Role of CP violation in D0 anti-D0 Mixing
• Lepton Mass Matrix Models
• Long Distance Contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• SUSY GUTs contributions and model independent extractions of CP phases
• New Bounds on Leptoquark Couplings
• Model-independent analysis of $\bbox{B}$-$\bbox{\bar B}$ mixing and $\bbox{CP}$ violation in $\bbox{B}$ decays
• Precise Determinations of the CKM Matrix from CP-Asymmetries in B-Decays and K_L --> π^0 ν\barν
• Search for the Decay $K^{+}\to {\pi }^{+}\nu \overline{\nu }$
• Comments on long distance contribution to $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• $K_L\to {\pi }^o\nu \overline{\nu }$ in Extended Higgs Models

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