Searching for signatures of new physics in $B\to K\nu \overline{\nu }$ to distinguish between Dirac and Majorana neutrinos

Abstract

We conduct a model-independent analysis of the distinct signatures of various generic new physics possibilities in the decay $B\to K\nu \overline{\nu }$ by analyzing the branching ratio as well as the missing mass-square distribution. Considering the final neutrinos to be of the same flavor with non-zero mass, we discuss the new physics contributions for both Dirac and Majorana neutrino possibilities. In our study, we utilize the analytical relations among form factors in semi-leptonic $B\to K$ transitions, which are consistent with current lattice QCD predictions to a very high numerical accuracy. We provide constraints on different new physics parameters, taking into account the recent measurement of $B^{+}\to K^{+}\nu \overline{\nu }$ branching ratio by the Belle-II collaboration. In future, if the missing mass-square distribution for $B^{+}\to K^{+}\nu \overline{\nu }$ decay gets reported by Belle-II with analysis of more events than their present data set, one can not only investigate possible new physics effects in these decays, but also probe the Dirac/Majorana nature of the neutrinos using quantum statistics, since a difference between the two cases is known to exist in the presence of non-standard neutrino interactions.

14 pages, 5 captioned figures, added more references and improved discussions, please check the doi for the published version

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Cited by in corpus (7)

• Impact of new invisible particles on $B\to K^{(\ast )}{E}_{\mathrm{miss}}$ observables
• 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
• 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
• Explaining the $B_{d(s)}\to K^{(\ast )}{\bar{K}}^{(\ast )}$ puzzle via chiral-flip in $R$-parity violating MSSM with seesaw mechanism
• Dark Matter emission at Belle II and NA62 in Minimal Flavor Violation framework