Phenomenological Consequences of sub-leading Terms in See-Saw Formulas

Abstract

Several aspects of next-to-leading (NLO) order corrections to see-saw formulas are discussed and phenomenologically relevant situations are identified. We generalize the formalism to calculate the NLO terms developed for the type I see-saw to variants like the inverse, double or linear see-saw, i.e., to cases in which more than two mass scales are present. In the standard type I case with very heavy fermion singlets the sub-leading terms are negligible. However, effects in the percent regime are possible when sub-matrices of the complete neutral fermion mass matrix obey a moderate hierarchy, e.g. weak scale and TeV scale. Examples are cancellations of large terms leading to small neutrino masses, or inverse see-saw scenarios. We furthermore identify situations in which no NLO corrections to certain observables arise, namely for mu-tau symmetry and cases with a vanishing neutrino mass. Finally, we emphasize that the unavoidable unitarity violation in see-saw scenarios with extra fermions can be calculated with the formalism in a straightforward manner.

22 pages, matches published version

References in corpus (10)

• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Unitarity of the Leptonic Mixing Matrix
• CP-violation from non-unitary leptonic mixing
• Scaling in the Neutrino Mass Matrix
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• A Compromise between Neutrino Masses and Collider Signatures in the Type-II Seesaw Model
• Minimal Seesaw Textures with Two Heavy Neutrinos
• Combined flavor symmetry violation and lepton number violation in neutrino physics
• The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis
• Neutrino Mass Matrix from Seesaw Mechanism Subjected to Texture Zero and Invariant Under a Cyclic Permutation

Cited by in corpus (22)

• Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis
• The low-scale approach to neutrino masses
• Vector-like Singlet Quarks: a Roadmap
• Flavor Non-universal Pati-Salam Unification and Neutrino Masses
• Linear Collider Test of a Neutrinoless Double Beta Decay Mechanism in left-right Symmetric Theories
• Light Sterile Neutrinos, Left-Right Symmetry, and $0\nu \beta \beta$ Decay
• Sterile neutrinos, $0\nu \beta \beta$ decay and the W-boson mass anomaly in a Flipped $SU(5)$ from F-theory
• Flavour and CP symmetries in the inverse seesaw
• A full parametrization of the $9\times 9$ active-sterile flavor mixing matrix in the inverse or linear seesaw scenario of massive neutrinos
• Nonunitarity of the lepton mixing matrix at the European Spallation Source
• Improved sensitivities of ESS$\nu$SB from a two-detector fit
• Low-Energy Supernovae Bounds on Sterile Neutrinos
• Lepton flavor violation in the Littlest Higgs Model with T parity realizing an inverse seesaw
• Dynamical Symmetry Breaking and Fermion Mass Hierarchy in the Scale-Invariant 3-3-1 Model
• Precision measurements and tau neutrino physics in a future accelerator neutrino experiment
• Emergent neutrinos from heavy messengers
• Dark Matter Freeze-In during Warm Inflation and the Seesaw Mechanism
• Pinning down the leptophobic $Z^{\prime }$ in leptonic final states with Deep Learning
• A Froggatt-Nielsen flavor model for neutrino physics
• $A_4$ realization of left-right symmetric linear seesaw
• Axion-Neutrino Interplay in a Gauged Two-Higgs-Doublet Model
• Confronting the inverse seesaw mechanism with the recent muon g-2 result