Generic lepton mass matrices and neutrino oscillations

Abstract

Several intriguing aspects of neutrino oscillation phenomenology like the origin of small neutrino masses, the absolute neutrino mass scale, the neutrino mass hierarchy, i.e. normal or inverted and the nature of neutrinos, i.e. Dirac or Majorana, etc. have been addressed from a general perspective. We show how the fundamental considerations of unitary transformations, naturalness and seesaw mechanism suffices to determine the texture structure of fermion Yukawa couplings and discuss the significance of the effective mass in 0{\nu}{\beta}{\beta} decay for the texture structure of these couplings.Comment: Accepted for publication in Physical Review

Lepton textures and neutrino oscillations

“…(23)". Likewise, for the case of Majorana neutrinos, one observes that the relations (20)(21)(22)) are able to reconstruct the complete 1σ range of all the neutrino oscillation parameters given in "Eq. (23)".…”

“…Interestingly, the large values of the parameter ν ζ appear to have greater implications 20 on the allowed range of m ee and hence only the parameters ξ e and ζ e may be considered to be completely redundant if neutrinos are Majorana particles. This further implies that even for the Majorana neutrino case, the maximum number of texture zeros that may be imposed on the corresponding lepton mass matrices are five characterized by ζ e = 0, …”

Implications of δlCP~270° and Verma1 2016Advances in High Energy PhysicsSelf Cite5040View full textAdd to dashboardCite

“…We categorize these as Type I and Type II, based on the texture structure of ] . [36,38,47,57] as depicted in Figure 3. However, the other two mixing angles are fixed by the free parameter ] illustrated in Figures 4 and 5.…”

“…It has been observed [36,47] that, in the absence of ∼ 270 ∘ constraint, the Fritzsch-like texture four-zero mass matrices are physically equivalent to the generic lepton mass matrices. Interestingly, these matrices can be obtained from the above structures using the assumption of = 0 and = 0.…”

“…In this regard, the "texture zero" ansatz initiated by Weinberg [30] and Fritzsch [31,32] has been quite successful in explaining the fermion masses and mixing patterns [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. However, one requires handling all possible texture structures on a case to case basis.…”