Renormalization group running of neutrino parameters

Abstract

Neutrinos are the most elusive particles in our universe. They have masses at least one million times smaller than the electron mass, carry no electric charge, and very weakly interact with other particles, meaning they are rarely captured in terrestrial detectors. Tremendous efforts in the past two decades have revealed that neutrinos can transform from one type to another as a consequence of neutrino oscillations---a quantum mechanical effect over macroscopic distances---yet the origin of neutrino masses remains puzzling. The physical evolution of neutrino parameters with respect to energy scale may help elucidate the mechanism for their mass generation.

33 pages, 3 figures, 2 tables. Final version (authors' post-print version) published in Nature Communications

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Cited by in corpus (55)

• Flavor structures of charged fermions and massive neutrinos
• Unified Models of Neutrinos, Flavour and CP Violation
• A review of mu-tau flavor symmetry in neutrino physics
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Trimaximal $\mu$-$\tau$ reflection symmetry
• The minimal seesaw and leptogenesis models
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Breakings of the neutrino mu-tau reflection symmetry
• Flavor Invariants and Renormalization-group Equations in the Leptonic Sector with Massive Majorana Neutrinos
• Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw
• Effects of intermediate scales on renormalization group running of fermion observables in an SO(10) model
• Running of Fermion Observables in Non-Supersymmetric SO(10) Models
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Explicit Perturbations to the Stabilizer $\tau =\mathrm{i}$ of Modular $A_5^{\prime }$ Symmetry and Leptonic CP Violation
• Renormalization-Group Equations of Neutrino Masses and Flavor Mixing Parameters in Matter
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Correlation of normal neutrino mass ordering with upper octant of ${\theta }_{23}^{}$ and third quadrant of $\delta$ via RGE-induced $\mu$-$\tau$ symmetry breaking
• Bridging resonant leptogenesis and low-energy CP violation with an RGE-modified seesaw relation
• On the two-loop radiative origin of the smallest neutrino mass and the associated Majorana CP phase
• Probing Lepton Flavor Models at Future Neutrino Experiments
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• On the Properties of the Effective Jarlskog Invariant for Three-flavor Neutrino Oscillations in Matter
• Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects
• A direct link between unflavored leptogenesis and low-energy CP violation via the one-loop quantum corrections
• Neutrino Anarchy and Renormalization Group Evolution
• Renormalization of the Neutrino Mass Matrix
• Radiative Corrections to the Solar Lepton Mixing Sum Rule
• Neutrino seesaw mechanism with texture zeros
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model
• Confronting Four Zero Neutrino Yukawa Textures with $N_2^{}$-dominated Leptogenesis
• Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories
• A Realistic Neutrino mixing scheme arising from $A_4$ symmetry
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• The Smallest Neutrino Mass Revisited
• The formal seesaw mechanism of Majorana neutrinos with unbroken gauge symmetry
• Accurate renormalization group analyses in neutrino sector
• 3D mapping of the effective Majorana neutrino masses with neutrino oscillation data
• Standard model flavor from an $SU(2)$ symmetry
• A translational flavor symmetry in the mass terms of Dirac and Majorana fermions
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Naumov- and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos
• Neutrino CP Measurement in the Presence of RG Running with Mismatched Momentum Transfers
• Testing the RG Running of the Leptonic Dirac CP Phase with Reactor Neutrinos
• Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation
• Renormalization group invariant of lepton Yukawa couplings
• Experimental Constraints on Seesaw Parameters in the Wigner-like Parametrization
• Predictions of effective Majorana neutrino mass under radiative corrections to $\mu -\tau$ reflection symmetry
• One-loop Renormalization of the Type-I Seesaw Model in the Modified Minimal-subtraction Scheme