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Bto K^* M_X vs Bto K M_X as a probe of a scalar-mediator dark matter scenario
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Bto K^* M_X vs Bto K M_X as a probe of a scalar-mediator dark matter scenario
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Recently, Belle II reported the observation of the decay $B\to K M_X$, $M_X$ the missing mass, with the branching ratio much exceeding ${\cal B}(B\to K \nu\bar\nu)$ which is the only Standard Model (SM) process contributing to this reaction. If confirmed, this might be an indication of new nonSM particles produced in this decay. One of the possible explanations of the observed effect could be light dark-matter (DM) particles produced via a scalar mediator field. We give simple arguments, that a combined analysis of the $B\to K M_X$ and $B\to K^* M_X$ reactions would be a clean probe of the scalar mediator scenario: (i) making use of an observed value ${\cal B}(B\to K M_X)\simeq 5.4\, {\cal B}(B\to K \nu\bar\nu)_{\rm SM}$ and (ii) assuming that the effect is due to the light dark matter coupling to the top quark via a {\it scalar} mediator field, one finds an upper limit ${\cal B}(B\to K^* M_X) < 2.8 \, {\cal B}(B\to K^* \nu\bar\nu)_{\rm SM}$. Within the discussed scenario, this upper limit does not depend on the mass of the scalar mediator nor on the specific details of the unobserved dark-matter particles in the final state.
Forward citations
Cited by 6 Pith papers
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Minimal one-loop models that generate both chiral vector operators for b→sνν̄ are systematically classified but cannot quantitatively explain the Belle II anomaly.
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A UV-complete complex scalar DM model under gauged U(1)Lμ−Lτ accommodates the SK antineutrino excess, the Belle II B+→K+νν̄ excess, and the DM relic density with one light dark sector.
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A single nearly degenerate dark matter multiplet in the MFV framework can accommodate either the K+ to pi+ nu nubar or B+ to K+ nu nubar excess but not both simultaneously.
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Belle II Constraints on the Non-Minimal Universal Extra Dimensional Model
Belle II data on the rare B decay constrains the non-minimal UED model to require the inverse compactification radius to be at least ~900 GeV, while the minimal version yields no bound.
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Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^*) M_X$ decays
Scalar and vector dark-matter mediator scenarios in B decays are distinguishable via differential distributions, with data imposing M_V ≲ 3 GeV for vectors but no mass bound for scalars.
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Analysis of $B\to KM_X$ and $B\to K^* M_X$ decays in scalar- and vector-mediator dark-matter scenarios
Belle-II excess in B to K/K* + missing energy is explained by dark matter fermion pair production via scalar or vector mediator, with discrimination possible through decay rate inspections.
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