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Scalar dark matter explanation of the excess in the Belle II $B^+\to K^+ +$ invisible measurement
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abstract
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 9 Pith papers
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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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Gauged $\tau$-lepton chiral currents and $B \to K^{(*)} E_{\rm miss}$
Gauging chiral tau lepton number with a light X boson of mass about 2.1 GeV explains the Belle II B to K missing-energy excess and survives existing bounds.
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$B\to K{+}$invisible, dark matter, and $CP$ violation in hyperon decays
In a two-Higgs-doublet plus scalar dark matter model, hyperon decay CP asymmetries can reach parts in a thousand, far above the standard model, while still satisfying kaon and dark matter constraints.
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New Strategies for New Physics Search with $\Lambda_b \to \Lambda \nu \bar\nu$ Decays
For longitudinally polarized Lambda_b at future Z-pole machines, Lambda_b -> Lambda nu nubar has a forward-backward asymmetry that is independent of new physics at its zero crossing and complements the branching ratio...
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Are the new particles heavy or light in $b \to s E_{\mathrm{miss}}$?
The K* longitudinal polarization fraction separates heavy NP, light vector, and ALP explanations of the Belle-II B+ to K+ missing-energy excess, while the Lambda_b to Lambda polarization tags operator chirality.
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Flavor Violations in $B$-Mesons within Non-Minimal SU(5)
A non-minimal SU(5) model with R2 leptoquark and S6 diquark is fitted to B-decay anomalies in b→cτν, B→Kπ, and B→Kνν, but the benchmark B→Kνν rate rises only about 3.5% above the Standard Model.
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On the Interplay of Constraints from $B_s$, $D$, and $K$ Meson Mixing in $Z^\prime$ Models with Implications for $b\to s \nu\bar\nu$ Transitions
In Z' models with suppressed B_s mixing, SU(2)L and SMEFT RG correlations tie the B_s, D, and K sectors together and predict B to K(K*) nu nu enhancements of up to 20% when b to s mu mu rates are suppressed.
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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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Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach
An improved PQCD plus lattice calculation of B to K semileptonic FCNC form factors confirms a 2.7 sigma excess in B+ to K+ nu nubar and a deficit in B+ to K+ l+ l-, and rules out single-leptoquark explanations using B...
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