Light dark matter, rare <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math> decays with missing energy in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>L</mml:mi><mml:mi>μ</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math> model with a scalar leptoquark
Shivaramakrishna Singirala, S. Sahoo, Rukmani Mohanta
Abstract
We investigate the phenomenology of light GeV-scale fermionic dark matter in the $U(1{)}_{{L}_{\ensuremath{\mu}}\ensuremath{-}{L}_{\ensuremath{\tau}}}$ 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 the $U(1{)}_{{L}_{\ensuremath{\mu}}\ensuremath{-}{L}_{\ensuremath{\tau}}}$ gauge group mediates a 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 $b\ensuremath{\rightarrow}sll$ and $b\ensuremath{\rightarrow}s\ensuremath{\gamma}$ decay processes as well as the lepton flavor nonuniversality observables ${R}_{{K}^{(*)}}$ and then show the implication on the branching ratios of some rare semileptonic $B\ensuremath{\rightarrow}({K}^{(*)},\ensuremath{\phi})+$ missing energy processes.