Abstract
We explore a class of models which can provide a common origin for the recently observed evidence for lepton flavor universality violation in $b \to s l^+ l^- $ decays, the dark matter (DM) problem and the long-standing muon $(g-2)$ anomaly. In particular, both anomalies in the $B$ meson decays and the muon $(g-2)$ can be explained by the additional one-loop diagrams with DM candidates. We first classify several simple models according to the new fields' quantum numbers. We then focus on a specific promising model and perform a detailed study of both DM and flavor physics. A random scan over the relevant parameter space reveals that there is indeed a large parameter space which can explain the three new physics phenomena simultaneously, while satisfying all other flavor and DM constraints. Finally, we discuss some of the possible new physics signatures at the Large Hadron Collider.
Highlights
One of the most recent hints of new physics (NP) comes from the observed anomalies in the semileptonic decay rates of the B meson, which suggests a violation of lepton flavor universality
We have explored a new class of particle physics solutions to lepton flavor universality violation observed in the decay b → sμþμ− by the LHCb and Belle Collaborations
At the same time we wanted a model with a good dark matter (DM) candidate and that would solve the muon (g − 2) anomaly
Summary
One of the most recent hints of new physics (NP) comes from the observed anomalies in the semileptonic decay rates of the B meson, which suggests a violation of lepton flavor universality. One should note that the quantities RðKðÃÞÞ are very clean probes of NP because the theoretical and experimental uncertainties related to the hadronic matrix elements cancel out [3] Further evidence supporting this B physics anomaly has been obtained by measuring other observables in rare B meson decays, such as the differential branching ratios [7,8,9] and angular distribution observables [10,11,12,13,14,15,16,17] in the processes B → φμþμ− and B → KðÃÞμþμ−, which have shown deviations from their SM predictions. By further introducing two extra scalar fields, one SUð3Þc colored while the other colorless, the lepton universality violation observed in B meson decays was solved by the NP oneloop contributions We will extend this model by considering several simple variations of the SUð2ÞL × Uð1ÞY charge assignment of the newly introduced particles. We will perform a scan in the parameter space of physical interest and identify regions which can solve the muon g − 2 anomaly and the B meson decay anomaly while providing a viable DM candidate
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