On neutrinoless double beta decay in the $\nu$MSM

Abstract

We consider the neutrinoless double beta ($0\nu \beta \beta$) decay in the so-called $\nu$MSM, in which three right-handed neutrinos with masses below the electroweak scale are additionally introduced to the Standard Model. In this model there appear three heavy neutral leptons $N_1$, $N_2$, and $N_3$ corresponding to right-handed neutrinos. It has been known that the lightest one $N_1$ with keV mass, which is a candidate for dark matter, gives a negligible contribution to the $0\nu \beta \beta$ decay. By contrast, the heavier ones $N_2$ and $N_3$, which are responsible to the seesaw mechanism of neutrino masses and baryogenesis, give the destructive contribution (compared with one from active neutrinos). This is because their mass degeneracy at high precision has been assumed, which is expected by analytical studies of baryogengesis. In this analysis, we find that the effective mass of the $0\nu \beta \beta$ decay becomes larger than one from active neutrinos due to the $N_2$ and $N_3$ constructive contribution when the mass difference becomes larger and the mass ordering of active neutrinos is inverted. Such a possibility will be explored by the current and near future experiments of the $0\nu \beta \beta$ decay.

10 pages, 6 figures, v2: published version to appear in Physics Letters B

References in corpus (8)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Updated fit to three neutrino mixing: status of leptonic CP violation
• How to find neutral leptons of the nuMSM?
• Baryon Asymmetry of the Universe in the NuMSM
• Arbitrary mass Majorana neutrinos in neutrinoless double beta decay
• Mixing of Active and Sterile Neutrinos
• Neutrinoless double $\beta$ decay and low scale leptogenesis
• Lepton Universality in the $\nu$MSM

Cited by in corpus (34)

• Sterile Neutrino Dark Matter
• Long-Lived Particles at the Energy Frontier: The MATHUSLA Physics Case
• The Present and Future Status of Heavy Neutral Leptons
• Testing the low scale seesaw and leptogenesis
• Probing Leptogenesis
• Sterile neutrinos and neutrinoless double beta decay in effective field theory
• Low-scale leptogenesis with three heavy neutrinos
• Uniting low-scale leptogeneses
• Mapping the viable parameter space for testable leptogenesis
• The minimal seesaw and leptogenesis models
• Neutrino masses, leptogenesis and dark matter from small lepton number violation?
• Neutrinoless double $\beta$ decay and low scale leptogenesis
• Indirect Signals from Solar Dark Matter Annihilation to Long-lived Right-handed Neutrinos
• An allowed window for heavy neutral leptons below the kaon mass
• Beta and Neutrinoless Double Beta Decays with KeV Sterile Fermions
• Parameter space of baryogenesis in the $\nu$MSM
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• New Benchmark Models for Heavy Neutral Lepton Searches
• Search for lepton-number-violating signals in the charm sector
• $\nu$DoBe -- A Python Tool for Neutrinoless Double Beta Decay
• Exploring GeV-scale Majorana neutrinos in lepton-number-violating ${\Lambda }_b^0$ baryon decays
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay
• Baryogenesis and Dark Matter from Freeze-In
• Freeze-in and freeze-out generation of lepton asymmetries after baryogenesis in the $\nu$MSM
• Probing baryon asymmetry of the Universe at LHC and SHiP
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Confronting the low-scale seesaw and leptogenesis with neutrinoless double beta decay
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations
• Neutrinoless double beta decays tell nature of right-handed neutrinos
• Why PeV scale left-right symmetry is a good thing
• Probing the Seesaw Mechanism and Leptogenesis with the International Linear Collider
• The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory