Mu-tau symmetry and the Littlest Seesaw

Abstract

Motivated by the latest neutrino oscillation data which is consistent with maximal atmospheric mixing and maximal leptonic CP violation, we review various results in $\mu \tau$ symmetry, then include several new observations and clarifications, including identifying a new general form of neutrino mass matrix with $\mu \tau$ symmetry. We then apply the new results to the neutrino mass matrix associated with the Littlest Seesaw model, and show that it approximately satisfies the new general form with $\mu \tau$ symmetry, and that this is responsible for its approximate predictions of maximal atmospheric mixing and maximal CP violation in the lepton sector.

19 pp. Matches published version

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Cited by in corpus (26)

• Flavor structures of charged fermions and massive neutrinos
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• The minimal seesaw and leptogenesis models
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• The symmetry approach to quark and lepton masses and mixing
• Fitting high-energy Littlest Seesaw parameters using low-energy neutrino data and leptogenesis
• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Littlest Inverse Seesaw Model
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• Tri-Direct CP in the Littlest Seesaw Playground
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Littlest mu-tau seesaw
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• The other variants of mixed $\mu$-$\tau$ symmetry
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Nonstandard neutrino interactions and mu-tau reflection symmetry
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• 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
• Lepton and quark mixing patterns with generalized CP transformations
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Investigation of a kind of neutrino mass matrix
• Leptogenesis in the $\mu \tau$ basis
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results
• Minimal structure for neutrino mass matrix