$K\to {\mu }^{+}{\mu }^{-}$ beyond the standard model

Abstract

We analyze the New Physics sensitivity of a recently proposed method to measure the CP-violating $\mathcal{B}(K_S\to {\mu }^{+}{\mu }^{-}{)}_{\ell =0}$ decay rate using $K_S-K_L$ interference. We present our findings both in a model-independent EFT approach as well as within several simple NP scenarios. We discuss the relation with associated observables, most notably $\mathcal{B}(K_L\to {\pi }^0\nu \bar{\nu })$. We find that simple NP models can significantly enhance $\mathcal{B}(K_S\to {\mu }^{+}{\mu }^{-}{)}_{\ell =0}$, making this mode a very promising probe of physics beyond the standard model in the kaon sector.

References in corpus (17)

• Physics of leptoquarks in precision experiments and at particle colliders
• Model-independent constraints on Delta F=2 operators and the scale of New Physics
• $K_L\to {\pi }^0\nu \bar{\nu }$ Beyond the Standard Model
• $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\pi }^0\nu \bar{\nu }$ in the Standard Model: Status and Perspectives
• The Rare Decays $K^{+}\to {\pi }^{+}\nu \bar{\nu }$\ and $K_L\to {\mu }^{+}{\mu }^{-}$\ Beyond Leading Logarithms
• On the short-distance constraints from K_{L,S} -> mu^+ mu^-
• Direct CP Violation in K_L --> π^0 e^+e^- Beyond Leading Logarithms
• Constraints on scalar leptoquarks from lepton and kaon physics
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• Upper Bounds on $K\to \pi \nu \bar{\nu }$ and $K_L\to {\pi }^0{e}^{+}{e}^{-}$ from ${\epsilon }^{\prime }/\epsilon$ and $K_L\to {\mu }^{+}{\mu }^{-}$
• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• Prospects for Measurements with Strange Hadrons at LHCb
• ${\epsilon }^{\prime }/\epsilon$ in the Standard Model at the Dawn of the 2020s
• $K\to {\mu }^{+}{\mu }^{-}$ as a clean probe of short-distance physics
• Theoretical status of ${\epsilon }^{\prime }/\epsilon$
• Searching for New Physics in Rare $K$ and $B$ Decays without $|V_{cb}|$ and $|V_{ub}|$ Uncertainties
• Nonleptonic $K\to 2\pi$ decay dynamics

Cited by in corpus (3)

• A Precision Relation between $\Gamma (K\to {\mu }^{+}{\mu }^{-})(t)$ and $\mathcal{B}(K_L\to {\mu }^{+}{\mu }^{-})/\mathcal{B}(K_L\to \gamma \gamma )$
• Workshop summary -- Kaons@CERN 2023
• $K\to {\mu }^{+}{\mu }^{-}$ as a third kaon golden mode