Analytic Solutions to the RG Equations of the Neutrino Physical Parameters

Abstract

In the case of two generation neutrinos, the energy-scale dependence of the lepton-flavor mixing matrix with Majorana phase can be governed by only one parameter r, which is the ratio between the diagonal elements of neutrino mass matrix. By using this parameter r, we derive the analytic solutions to the renormalization group equations of the physical parameters, which are the mixing angle, Majorana phase, and the ratio of the mass-squared difference to the mass squared of the heaviest neutrino. The energy-scale dependence of the Majorana phase is clarified by using these analytic solutions. The instability of the Majorana phase causes in the same parameter region in which the mixing angle is unstable against quantum corrections.

arXiv commentLaTeX2e, 9 pages, 6 figures

Cited by in corpus (19)

• Models of Neutrino Masses and Mixings
• Quantum corrections to neutrino masses and mixing angles
• Minimal Scenarios for Leptogenesis and CP Violation
• Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\mathrm{Z}}$ to ${\Lambda }_{\mathrm{GUT}}$
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Baryogenesis and Degenerate Neutrinos
• Large mixing angles for neutrinos from infrared fixed points
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Renormalization of the neutrino mass matrix
• Grand Unification of Flavor Mixings
• Renormalization Invariants of the Neutrino Mass Matrix
• Stability of Leptonic Self-complementarity
• On 'Light' Fermions and Proton Stability in 'Big Divisor' D3/D7 Swiss Cheese Phenomenology
• Lowering solar mixing angle in inverted hierarchy without charged lepton corrections
• Accurate renormalization group analyses in neutrino sector
• Supersymmetric threshold corrections to Δm^2_{\odot}
• Maximal Neutrino Mixing from an Attractive Infrared Fixed Point
• "Big" Divisor D3/D7 Swiss Cheese Phenomenology
• Renormalization group invariants in neutrino sector