Non-Minimal Approximation for the Type-I Seesaw Mechanism

Abstract

A non-minimal approximation for effective masses of light and heavy neutrinos in the framework of a type-I seesaw mechanism with three generations of sterile Majorana neutrinos which recover the symmetry between quarks and leptons is considered. The main results are: (a) the next-order corrections to the effective mass matrix of heavy neutrinos due to terms O(θMD) are obtained, which modify the commonly used representation for the effective mass (MD is a Dirac neutrino mass when the electroweak symmetry is spontaneously broken); and (b) the general form of the mixing matrix is found in non-minimal approximation parametrized by a complex 3x3 matrix satisfying a nontrivial constraint. Numerical analysis within the νMSM framework demonstrates the very small effect of new contributions of direct collider observables as opposed to their possible significance for cosmological models.

arXiv comment23 pages, 1 figure, 3 tables

References in corpus (29)

• Sterile Neutrinos as Dark Matter
• Oscillating neutrinos and mu --> e, gamma
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• The $\nu$MSM, Dark Matter and Neutrino Masses
• Detection of An Unidentified Emission Line in the Stacked X-ray spectrum of Galaxy Clusters
• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• An unidentified line in X-ray spectra of the Andromeda galaxy and Perseus galaxy cluster
• The role of sterile neutrinos in cosmology and astrophysics
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Massive sterile neutrinos as warm Dark Matter
• A White Paper on keV Sterile Neutrino Dark Matter
• Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
• Direct Detection of Warm Dark Matter in the X-ray
• A possible symmetry of the $\nu$MSM
• TeV Scale See-Saw Mechanisms of Neutrino Mass Generation, the Majorana Nature of the Heavy Singlet Neutrinos and $\betabeta$-Decay
• The nuMSM, leptonic asymmetries, and properties of singlet fermions
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• See-Saw Energy Scale and the LSND Anomaly
• Improved BBN constraints on Heavy Neutral Leptons
• Neutrino Phenomenology of Very Low-Energy Seesaws
• The masses of active neutrinos in the nuMSM from X-ray astronomy
• $N_{\mathrm{eff}}$ in low-scale seesaw models versus the lightest neutrino mass
• On Lepton Number Violation in Heavy Neutrino Decays at Colliders
• Heavy neutral leptons below the kaon mass at hodoscopic detectors
• The MicroBooNE Experiment, the NuMI Absorber, and Heavy Neutral Leptons
• Massive sterile neutrinos in the early universe: From thermal decoupling to cosmological constraints
• Lepton Universality in the $\nu$MSM
• Improved cosmological bounds for a fine-tuned see-saw mechanism of keV sterile neutrinos
• Lepton universality in a model with three generations of sterile Majorana neutrinos

Cited by in corpus (1)

• Modular-symmetry-protected seesaw