On the Implications of |<i>U_μi</i>| = |<i>U_τi</i>| in the Canonical Seesaw Mechanism

Abstract

In the PMNS matrix, the relation |Uμi| = |Uτi| (with i=1,2,3) is experimentally favored at the present stage. The possible implications of this relation on some hidden flavor symmetry has attracted a lot of interest in the neutrino community. In this paper, we analyze the implications of |Uμi| = |Uτi| (with i=1,2,3) in the context of the canonical seesaw mechanism. We also show that the minimal μ−τ symmetry proposed in JHEP 06 (2022) 034 is a possible but not necessary reason for the above-mentioned relation.

Keywords

• neutrino physics
• neutrino mass
• neutrino mixing
• canonical seesaw mechanism
• flavor symmetry
• Majorana neutrino