Golden Littlest Seesaw

Abstract

We propose and analyse a new class of Littlest Seesaw models, with two right-handed neutrinos in their diagonal mass basis, based on preserving the first column of the Golden Ratio mixing matrix. We perform an exhaustive analysis of all possible remnant symmetries of the group $A_5$ which can be used to enforce various vacuum alignments for the flavon controlling solar mixing, for two simple cases of the atmospheric flavon vacuum alignment. The solar and atmospheric flavon vacuum alignments are enforced by {\em different} remnant symmetries. We examine the phenomenological viability of each of the possible Littlest Seesaw alignments in $A_5$, which preserve the first column of the Golden ratio mixing matrix, using figures and extensive tables of benchmark points and comparing our predictions to a recent global analysis of neutrino data. We also repeat the analysis for an alternative form of Golden Ratio mixing matrix.

32 pages, 7 figures

References in corpus (10)

• Global constraints on absolute neutrino masses and their ordering
• Unified Models of Neutrinos, Flavour and CP Violation
• First combined analysis of neutrino and antineutrino oscillations at T2K
• The golden ratio prediction for the solar neutrino mixing
• Constraints on Oscillation Parameters from ${\nu }_e$ Appearance and ${\nu }_{\mu }$ Disappearance in NOvA
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• An SU(5) x A5 Golden Ratio Flavour Model
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing

Cited by in corpus (10)

• Flavor structures of charged fermions and massive neutrinos
• The minimal seesaw and leptogenesis models
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• A New Littlest Seesaw Model
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Tri-Direct CP in the Littlest Seesaw Playground
• Muon anomalies and the $SU(5)$ Yukawa relations
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Theory Review of Neutrino Models and CP Violation