Renormalization Group Evolution of Dirac Neutrino Masses

Abstract

There are good reasons why neutrinos could be Majorana particles, but there exist also a number of very good reasons why neutrinos could have Dirac masses. The latter option deserves more attention and we derive therefore analytic expressions describing the renormalization group evolution of mixing angles and of the CP phase for Dirac neutrinos. Radiative corrections to leptonic mixings are in this case enhanced compared to the quark mixings because the hierarchy of neutrino masses is milder and because the mixing angles are larger. The renormalization group effects are compared to the precision of current and future neutrino experiments. We find that, in the MSSM framework, radiative corrections of the mixing angles are for large \tanβcomparable to the precision of future experiments.

19 pages, 5 figures; error in eq. 8 corrected, references added

References in corpus (19)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Possible Gauge Theoretic Origin for Quark-Lepton Complementarity
• Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\mathrm{Z}}$ to ${\Lambda }_{\mathrm{GUT}}$
• Physics and optimization of beta-beams: From low to very high gamma
• Massive Neutrinos and (Heterotic) String Theory
• Softly broken lepton number L_e - L_μ- L_τwith non-maximal solar neutrino mixing
• Minimal Mass Matrices for Dirac Neutrinos
• From parameter space constraints to the precision determination of the leptonic Dirac CP phase
• Determination of theta_{23} in Long-Baseline Neutrino Oscillation Experiments with Three-Flavor Mixing Effects
• Running of Low-Energy Neutrino Masses, Mixing Angles and CP Violation
• Theory of Neutrinos
• Lepton masses and mixing angles from heterotic orbifold models
• Renormalization of Lepton Mixing for Majorana Neutrinos
• Dirac Neutrinos and Hybrid Inflation from String Theory
• Alternatives to the seesaw mechanism
• Combined potential of future long-baseline and reactor experiments
• Alternatives to Seesaw
• Brane world unification of quark and lepton masses and its implication for the masses of the neutrinos

Cited by in corpus (23)

• Updated Values of Running Quark and Lepton Masses
• Flavor structures of charged fermions and massive neutrinos
• Renormalization group running of neutrino parameters
• Renormalization Group Evolution in the type I + II seesaw model
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• Impacts of the observed theta_{13} on the running behaviors of Dirac and Majorana neutrino mixing angles and CP-violating phases
• Predictivity of models with spontaneously broken non-Abelian discrete flavor symmetries
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Dirac neutrinos and anomaly-free discrete gauge symmetries
• Distinguishable RGE running effects between Dirac neutrinos and Majorana neutrinos with vanishing Majorana CP-violating phases
• High Scale Mixing Unification for Dirac Neutrinos
• Dirac Lepton Angle Matrix v.s. Majorana Lepton Angle Matrix and Their Renormalization Group Running Behaviours
• Generic Friedberg-Lee Symmetry of Dirac Neutrinos
• Precise predictions for Dirac neutrino mixing
• Flavor Delta(54) in SU(5) SUSY Model
• Radiative corrections to the leptonic Dirac CP-violating phase
• Quark-lepton mass unification at TeV scales
• Naumov- and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos
• Predictions From High Scale Mixing Unification Hypothesis
• Flavor Mixing and the Permutation Symmetry among Generations
• Partial quark-lepton universality and neutrino CP violation
• Can Leptonic Mixing Matrix have a Wolfenstein Form?