Phenomenological consequences of introducing new fermions with exotic charges to $R(K^{(*)})$, muon (g-2), the primordial Lithium problem, and dark matter

Abstract: In this work we show that, by introducing two $SU(3){c}\times SU(2){L}$ singlet right handed fermions carrying opposite $U(1){Y}$ charges and while their left handed counterparts are singlet under $SU(3){c}\times SU(2){L}$ and neutral under $U(1){Y}$, in the regime where the new charged lepton masses are in the electroweak scale it will be able to explain the small neutrino masses via minimum-inverse seesaw scenario (MISS) as well as the reported $R(K^{(*)})$ and muon $(g-2)$ discrepancies. Also when the charged fermion masses are well above the electro weak scale the model can not explain the reported $R(K^{(*)})$ and muon $(g-2)$ discrepancies, but in this regime the model could explain the primordial Lithium problem. The model have another interesting extension where it can produce a stable and singlet under strong interaction scalar baryon that could constitute much of the dark matter mass of the universe which lead to a simple model where ordinary matter and dark-matter having same origin. The model can also provide new annihilation channels for the scalar singlet DM as well as allowing a doubly charged scalar whose signatures could show up in HL-LHC, ILC, CEPC etc.