Constraints on New Physics from $K\to \pi \nu \bar{\nu }$

Abstract

We study constraints on new physics from the recent measurement of Br ($K^{+}\to {\pi }^{+}\nu \bar{\nu })$ by the E787 and E949 Collaborations. In our analysis we consider two models of new physics: $(a)$ extra down type singlet quark model (EDSQ) and $(b)$ R-parity violating Minimal Supersymmetric Standard Model(MSSM). We find that $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ along with other processes like $K_L\to {\mu }^{+}{\mu }^{-},{\epsilon }^{\prime }/\epsilon$ provide useful bounds on the parameter $U_{sd}$, characterizing the off-diagonal $Z-d-\bar{s}$ coupling of model $(a)$. The bounds on the $\mathrm{Re}(U_{sd})$ from $(K_L\to {\mu }^{+}{\mu }^{-}{)}_{\mathrm{SD}}$ and $\mathrm{Im}(U_{sd})$ from ${\epsilon }^{\prime }/\epsilon$ are so tight that the branching ratio of $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ can exceed the standard model value by at most a factor of two For model b), we also obtain stringent bounds on certain combinations of product of two $\lp_{ijk}$ couplings originating from $L$ number violating operator $L_i{Q}_j{D}_k^c$ using $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\mu }^{+}{\mu }^{-}$ processes. Even with the stringent constraints on $U_{sd}$ (in model $(a)$) and on products of two $\rp$couplings (model $(b)$), we find that the branching ratios for $K_L\to {\pi }^0\nu \bar{\nu }$ and $K_L\to {\pi }^0{e}^{+}{e}^{-}$ can be substantially different in both the above models from those predicted in the standard model.

arXiv commentK_L --> pi^0 e+ e- section has been altered, new references to this process are cited. One Figure has been removed and other Figure modified

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Cited by in corpus (25)

• Flavor Physics in the Quark Sector
• Mass Bounds on a Very Light Neutralino
• B, D and K decays
• Waiting for Precise Measurements of K^+->pi^+ nu nu and K_L->pi^0 nu nu
• $R_{D^{(\ast )}}$ motivated ${\mathcal{S}}_1$ leptoquark scenarios: Impact of interference on the exclusion limits from LHC data
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• R-parity Violating Supersymmetry at IceCube
• $R_{K^{(\ast )}}^{\nu }$ and non-standard neutrino interactions
• Implications of the non-universal Z boson in FCNC mediated rare decays
• The $B\to K\pi$ Puzzle and Supersymmetric Models
• KL -> pi0 nu nu-bar as a Probe of New Physics
• $K\to {\mu }^{+}{\mu }^{-}$ as a clean probe of short-distance physics
• Lepton FCNC in Type III Seesaw Model
• The s ---> d gamma decay in and beyond the Standard Model
• Effect of FCNC mediated Z boson on lepton flavor violating decays
• Charged-lepton-flavor violation in $|\Delta S|=1$ hyperon decays
• Lepton-flavor-violating semileptonic $\tau$ decay and $K\to \pi \nu \bar{\nu }$
• Exploring leptoquark effects in hyperon and kaon decays with missing energy
• Lifetime difference in D^0 - \bar{D^0} mixing within R-parity-violating SUSY
• SUSY R-parity violating contributions to the width differences for $D-\bar{D}$ and $B_{d,s}-{\bar{B}}_{d,s}$ systems
• Theory review on rare K decays: Standard Model and beyond
• Manifestation of a singlet heavy up-type quark in the branching ratios of rare decays K to πν\barν, B to πν\barν and B to K ν\barν
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• A Not So Little Higgs?
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