Abstract
We investigate the phenomenology of light GeV-scale fermionic dark matter in $U(1)_{L_\mu - L_{\tau}}$ gauge extension of the Standard Model. Heavy neutral fermions alongside with a $S_1(\overline{3}$,$1$,$1/3$) scalar leptoquark and an inert scalar doublet are added to address the flavor anomalies and light neutrino mass respectively. The light gauge boson associated with $U(1)_{L_\mu-L_\tau}$ gauge group mediates dark to visible sector and helps to obtain the correct relic density. Aided with a colored scalar, we constrain the new model parameters by using the branching ratios of various $b \to sll$ and $b \to s \gamma$ decay processes as well as the lepton flavour non-universality observables $R_{K^{(*)}}$ and then show the implication on the branching ratios of some rare semileptonic $B \to (K^{(*)}, \phi)+$ missing energy, processes.
Highlights
We investigate the phenomenology of light GeV-scale fermionic dark matter in the Uð1ÞLμ−Lτ gauge extension of the Standard Model
The Standard Model (SM) of particle physics is quite successful in meeting the experimental sensitivities when it comes to interactions at the fundamental level
Most of the flavor observables go along with the SM, there are a collection of recent measurements in semileptonic B meson decays, involving b → sll and b → cτντ quark level transitions, that are incongruous with the SM predictions
Summary
The Standard Model (SM) of particle physics is quite successful in meeting the experimental sensitivities when it comes to interactions at the fundamental level. Most of the flavor observables go along with the SM, there are a collection of recent measurements in semileptonic B meson decays, involving b → sll and b → cτντ quark level transitions, that are incongruous with the SM predictions. The sensitivity of bounds on a weakly interacting massive particle (WIMP)-nucleon cross section for GeV scale dark matter in direct detection experiments is less. This brings us to study a light GeV scale WIMP (< 2.5 GeV) in the light of missing energy in rare B-decays. We look at a low mass regime of DM arising as a missing energy in semileptonic decays of B mesons to Mð1⁄4 K; KÃ; φÞ.
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