Abstract

If neutrinos are Dirac, the conditions for cobimaximal mixing, i.e. θ23=π/4 and δCP=±π/2 in the 3×3 neutrino mixing matrix, are derived. One example with A4 symmetry and radiative Dirac neutrino masses is presented.

Highlights

  • Neutrinos are mostly assumed to be Majorana

  • Scotogenic Dirac Neutrinos with Cobimaximal Mixing : The other approach to obtaining UCBM is through Eq (5)

  • Let it be denoted as M2ss and assuming that its entries are all much smaller the invariant masses of s and s, it is clear that the Dirac neutrino mass matrix in the basis of Fig. 1 is proportional to M2ss and is real up to an unobservable phase, i.e. the relative phase of fN and fE

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Summary

Introduction

Neutrinos are mostly assumed to be Majorana. The associated 3×3 mass matrix has been studied in numerous papers. To understand the cobimaximal mixing matrix UCBM , consider its form in the PDG (1/ 2)(−s12 ± ic12s13) (1/ 2)(c12 ± is12s13) c13/ 2 In Eq (1), the neutrino basis is chosen for which the charged-lepton mass matrix Ml is diagonal which links the left-handed (e, μ, τ ) to their right-handed counterparts.

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