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Scalar dark matter explanation of the excess in the Belle II B^+to K^+ + invisible measurement
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Scalar dark matter explanation of the excess in the Belle II B^+to K^+ + invisible measurement
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Recently Belle II reported the first measurement of $B^+\to K^++{\rm invisible (inv)}$, which is $2.7\sigma$ above the standard model (SM) prediction. If confirmed, this calls for new physics beyond SM. In the SM, the invisible particles are neutrino-anti-neutrino pairs. There are more possibilities when going beyond the SM. In this work, we focus on decays to dark matter (DM) and show that the $B\to K +\mathrm{inv}$ excess from Belle II and DM relic density can be simultaneously explained in a simple extension of the SM. The model introduces a real scalar singlet $\phi$ acting as a DM candidate, and two heavy vector-like quarks $Q,D$ with the same quantum numbers as the SM left-handed quark doublet and right-handed down-type quark singlet, respectively. All these new particles are odd under a $\mathbb{Z}_2$ symmetry while the SM particles are even. The model can successfully explain the Belle II anomaly and DM relic density for TeV-scale heavy quarks with hierarchical Yukawa couplings involving $b$ and $s$ quarks. At the same time, it can easily satisfy other flavour physics constraints. Direct detection searches utilizing the Migdal effect constrain some of the parameter space.
Forward citations
Cited by 6 Pith papers
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Baryon-Meson Sum Rule for $b \to s \nu\bar\nu$
An exact sum rule connects branching fractions of Lambda_b -> Lambda nu nubar and B -> K(*) nu nubar decays with coefficients identical to those in the b->c tau semileptonic sum rule.
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Radiative generation of chiral vector operators in $b\to s \nu\bar{\nu}$ transition
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 Unified Dark Matter Explanation for $\boldsymbol{B^+ \!\to K^+\nu\bar{\nu}}$ and the Super-Kamiokande Antineutrino Excess
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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Dark Matter emission at Belle II and NA62 in Minimal Flavor Violation framework
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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