Addressing Flavor Anomalies, \((g-2)_{\mu }\) , Neutrino Mass and Matter-Antimatter Asymmetry of the Universe Within SO(10) GUT with a Scalar Leptoquark and Scalar Triplets

Motivated by the recent flavor anomalies, we consider an extension of the Standard Model with a scalar leptoquark \(S_1(\bar{3},1,1/3)\) and a scalar triplet to investigate the rare semieleptonic B decays involving quark level transitions \(b\rightarrow c\ell ^{-}\bar{\nu _{\ell }}\) , \((g-2)_{\mu }\) anomaly, neutrino mass and matter-antimatter asymmetry simultaneously. The important feature of the work is that it leads to successful gauge coupling unification of fundamental forces when embedded in non-SUSY SO(10) grand unified theory. We also comment on the feasibility of parameter space that can be probed at low-energy experiments like neutrinoless double beta decay or at the high-energy collider.