GeV Scale Dark Matter and \(B\rightarrow K+\) Missing Energy Phenomenology in the \(U(1)_{B-L}\) Model
摘要
We elucidate the recently observed discrepancy in the branching ratio of \(B^{+}\rightarrow K^{+}\) +inv decay mode using a GeV scale scalar dark matter in an anomaly-free \(U(1)_{B-L}\) gauge extension of the Standard Model. We constrain the new parameters by using consistency with the existing bounds on Dark matter relic density, direct detection, collider and BR( \(B\rightarrow K^*\nu \bar{\nu }\) ) measured at the Belle II experiment. We investigate couplings between the mediator and the SM fermions as well as the dark matter particle. We then estimate the branching ratios of \(b \rightarrow s \nu \bar{\nu }\) decay processes such as \(B\rightarrow (K^+,K^*)\nu \bar{\nu }\) , \(B_s\rightarrow (\eta ,\eta ')\nu \bar{\nu }\) , \( B_s\rightarrow \phi \nu \bar{\nu }\) and \(B_c\rightarrow (D_s, D_s^*)\nu \bar{\nu }\) in a common parameter space, meeting the current experimental bounds of both sectors simultaneously.