$B$ meson anomalies and large $B^{+}\to K^{+}\nu \bar{\nu }$ in non-universal $U(1{)}^{\prime }$ models

Abstract

In view of both the latest LHCb measurement of $R_{K^{(\ast )}}$ and the new $2.8\sigma$ deviation reported by Belle II on $B^{+}\to K^{+}\nu \bar{\nu }$ decays, we present a fit to the $B$ meson anomalies for various one and two dimensional hypothesis including complex Wilson coefficients. We show in a model-independent way that the generic non-universal $U(1{)}^{\prime }$ extensions of the SM, without flavour violation, fail to simultaneously fit those observables and corroborate that they can modify $\mathrm{BR}(B^{+}\to K^{+}\nu \bar{\nu })$ up to only a $10\%$. In view of this deficit, we propose a new way in which those models can accommodate the data at tree level by introducing lepton flavour violating couplings and non-diagonal elements of the charged lepton mixing matrix, with implications in future charged lepton flavour violation searches.

16 pages, 5 figures, 2 tables, charged lepton flavour violating constraints added, new citations included

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Cited by in corpus (14)

• Decoding the $B\to K\nu \nu$ excess at Belle II: kinematics, operators, and masses
• Disentangling left and right-handed neutrino effects in $B\to K^{(\ast )}\nu \nu$
• The decay $B\to K+\nu +\bar{\nu }$ at Belle II and a massless bino in R-parity-violating supersymmetry
• Impact of new invisible particles on $B\to K^{(\ast )}{E}_{\mathrm{miss}}$ observables
• Searching for signatures of new physics in $B\to K\nu \overline{\nu }$ to distinguish between Dirac and Majorana neutrinos
• 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
• Test of lepton flavour universality with $B_s^0\to \varphi {\ell }^{+}{\ell }^{-}$ decays
• From the EFT to the UV: the complete SMEFT one-loop dictionary
• 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
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• Dark Matter emission at Belle II and NA62 in Minimal Flavor Violation framework