Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking

Abstract

There are six leptonic unitarity triangles (LUTs) defined by six orthogonality conditions of the three-family lepton flavor mixing matrix in the complex plane. In the framework of the standard model or the minimal supersymmetric standard model, the evolutions of sides and inner angles of the six LUTs from a superhigh energy scale ${\Lambda }_{\mathrm{H}}^{}$ to the electroweak scale ${\Lambda }_{\mathrm{EW}}^{}$ due to the renormalization-group equation (RGE) running are derived in the integral form for both Dirac and Majorana neutrinos. Furthermore, the LUTs as an intuitively geometrical language are applied to the description of the RGE-induced $\mu$-$\tau$ reflection symmetry breaking analytically and numerically.

28 pages, 2 figures, version accepted for publication in Phys. Rev. D

References in corpus (11)

• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Unitarity of the Leptonic Mixing Matrix
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Current unknowns in the three neutrino framework
• Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Correlation of normal neutrino mass ordering with upper octant of ${\theta }_{23}^{}$ and third quadrant of $\delta$ via RGE-induced $\mu$-$\tau$ symmetry breaking
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Constructing the Leptonic Unitarity Triangle

Cited by in corpus (7)

• Flavor structures of charged fermions and massive neutrinos
• The minimal seesaw and leptogenesis models
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
• Radiative decays of charged leptons as constraints of unitarity polygons for active-sterile neutrino mixing and CP violation
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results