The decay $B\to K+\nu +\bar{\nu }$ at Belle II and a massless bino in R-parity-violating supersymmetry

Abstract

Recently, \texttt{Belle II} announced evidence for the decay $B^{+}\to K^{+}+\nu +\bar{\nu }$ at the $3.5\sigma$ significance, and measured the corresponding decay branching ratio to be $2.7\sigma$ above the Standard Model prediction. Here, we provide a theoretical explanation based on a massless bino in R-parity-violating (RPV) supersymmetry. With a single non-vanishing RPV coupling ${\lambda }_{i23/i32}^{\prime }$, ${\lambda }_{i13/i33}^{\prime }$, or ${\lambda }_{i12/i22}^{\prime }$, where $i=1,2,3$, the decay $B^{+}\to K^{+}+\stackrel{(-)}{{\nu }_i}+{\tilde{\chi }}_1^0$ can be induced, which would lead to the same signature as $B^{+}\to K^{+}+\nu +\bar{\nu }$. Taking into account both theoretical and experimental uncertainties, we derive the regions of the parameter space spanned by the RPV couplings and sfermion masses that could accommodate the new measurement at various significance levels and obey the existing bounds simultaneously.

v1: 4 pages + refs, 4 figures; v2: 5 pages + refs, 3 figures, published in EPJC

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Cited by in corpus (9)

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• $B\to K+$invisible, dark matter, and $CP$ violation in hyperon decays
• Analysis of $q_{\mathrm{rec}}^2$-distribution for $B\to K{M}_X$ and $B\to K^{\ast }{M}_X$ decays in a scalar-mediator dark-matter scenario
• Light dark-matter window constrained by \boldmath$K^{+}\to {\pi }^{+}$$+$$/E$
• Resonant ALP-Portal Dark Matter Annihilation as a Solution to the $B^{\pm }\to K^{\pm }\nu \bar{\nu }$ Excess
• Scrutinizing dark-matter scenarios with $B\to (K,K^{\ast })\bar{\nu }\nu$ decays
• Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^{\ast })M_X$ decays
• Belle II Constraints on the Non-Minimal Universal Extra Dimensional Model
• Dark Matter emission at Belle II and NA62 in Minimal Flavor Violation framework