Renormalization of the neutrino mass operators in the multi-Higgs-doublet Standard Model

Abstract

We derive the renormalization group equations (RGE) for the flavour coupling matrices of the effective dimension-five operators which yield Majorana neutrino masses in the multi-Higgs-doublet Standard Model; in particular, we consider the case where two different scalar doublets occur in those operators. We also write down the RGE for the scalar-potential quartic couplings and for the Yukawa couplings of that model, in the absence of quarks. As an application of the RGE, we consider two models which, based on a mu-tau interchange symmetry, predict maximal atmospheric neutrino mixing, together with U_{e3} = 0, at the seesaw scale. We estimate the change of those predictions due to the evolution of the coupling matrices of the effective mass operators from the seesaw scale down to the electroweak scale. We derive an upper bound on that change, thereby finding that the radiative corrections to those predictions are in general negligible.

16 pages, LaTeX

References in corpus (1)

• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$

Cited by in corpus (43)

• Theory and phenomenology of two-Higgs-doublet models
• Two-Higgs-doublet model from the group-theoretic perspective
• Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking
• Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models
• Bounds on scalar masses in two Higgs doublet models
• Search for a 'stable alignment limit' in two Higgs-doublet models
• Running of Radiative Neutrino Masses: The Scotogenic Model
• mu-tau Interchange symmetry and lepton mixing
• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
• Tri-bimaximal lepton mixing from symmetry only
• Flavour alignment in multi-Higgs-doublet models
• Two-Higgs Leptonic Minimal Flavour Violation
• Next Generation Higgs Bosons: Theory, Constraints and Discovery Prospects at the Large Hadron Collider
• Muon and electron $g-2$ anomalies in a flavor conserving 2HDM with an oblique view on the CDF $M_W$ value
• Flavour Conservation in Two Higgs Doublet Models
• Majorana Neutrino Masses in the RGEs for Lepton Flavour Violation
• Renormalization Group Running of Fermion Observables in an Extended Non-Supersymmetric SO(10) Model
• 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
• Understanding neutrino properties from decoupling right-handed neutrinos and extra Higgs doublets
• A three-parameter neutrino mass matrix with maximal CP violation
• Symbiotic Symmetries of the Two-Higgs-Doublet Model
• Radiative Generation of Quark Masses and Mixing Angles in the Two Higgs Doublet Model
• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale
• Prospects for Spin-1 Resonance Search at 13 TeV LHC and the ATLAS Diboson Excess
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry
• Neutrino Physics - Models for Neutrino Masses and Lepton Mixing
• Radiative charged-lepton mass generation in multi-Higgs doublet models
• Basis invariant conditions for supersymmetry in the two-Higgs-doublet model
• Texture of Single Vanishing Subtrace in Neutrino Mass Matrix
• Disentangling the high and low cutoff scales via the trilinear Higgs couplings in the type-I two-Higgs-doublet model
• Lepton parameters in the see-saw model extended by one extra Higgs doublet
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry
• Texture-zero model for the lepton mass matrices
• Mass Hierarchy Determination for ${\theta }_{13}=0$ and Atmospheric Neutrinos
• Hidden physics in pion and some other meson decays
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Neutrino parameters in the Planck-scale lepton number breaking scenario with extended scalar sectors
• Strong CP Problem and spontaneous generation of CP violating phase in CKM matrix
• Natural Quasi-Alignment with two Higgs Doublets and RGE Stability
• Study of vacuum behavior for inert models with discrete $Z_2$-like and abelian $U(1)$ symmetries
• Running of neutrino mass parameters in the Zee model