Speaker
Description
We make an attempt to explore type-III seesaw by taking $A_4$ modular symmetry in super-symmetric context. In addition, we have included local $U(1)_{B-L}$ symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III meaning it involves fermion triplet superfields $\Sigma$, along with which, we have included a singlet weighton field $(\rho)$. In here, modular symmetry places a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings gains modular form which are expressed in terms of Dedekind eta function. However, for numerical analysis we use $q$ expansion expressions of the couplings. Therefore, the model discussed here is capable of predicting neutrino oscillation data which is an excellent match to corresponding experimental values. In addition to this, our model successfully explain leptogenesis and shed some light on the current results of muon $g-2$.
