Parametrization of the Yukawa matrix in the scotogenic model and single-zero textures of the neutrino mass matrix

Abstract

As the first topic, we propose a new parametrization of the complex Yukawa matrix in the scotogenic model. The new parametrization is compatible with the particle data group parametrization of the neutrino sector. Some analytical expressions for the neutrino masses with the new parametrization are shown. As the second topic, we consider the phenomenology of the socotogenic model with the one-zero-textures of the neutrino flavor mass matrix. One of the six patterns of the neutrino mass matrix is favorable for the real Yukawa matrix. On the other hand, for the complex Yukawa matrix, five of the six patterns are compatible with observations of the neutrino oscillations, dark matter relic abundance and branching ratio of the µ → eγ process.

A modular A4 symmetry realization of two-zero textures of the Majorana neutrino mass matrix

“…In the light of these advantages, a lot of works have been done and successfully predicted neutrino masses and mixing parameters in terms of a few input parameters, such as the models with the modular Γ 2 ≃ S 3 [15,16] 34,36,37] symmetry. This approach has also been extended to the quark sector [38][39][40][41][42].Assuming that neutrinos are Majorana particles and we work in the flavor basis where the charged lepton mass matrix M ℓ is diagonal, the textures of the Majorana neutrino mass matrix M ν with more than two zeros 1 are not compatible with current experimental results [43] and the predictive power of one-zero textures of M ν is limited [44][45][46][47][48][49][50][51][52][53][54]. In contrast, two-zero textures of M ν put forward in 2002 [55][56][57] are more fascinating since in these cases, the lightest neutrino mass (m 1 for the normal mass order or m 3 for the inverted mass order) and two Majorana phases ρ and σ can be determined by six neutrino oscillation parameters (i.e., ∆m 2 21 , ∆m 2 31 , θ 12 , θ 13 , θ 23 and the Dirac phase δ CP ) [56][57][58][59][60].…”