Flavoured CP-asymmetry at the effective neutrino mass floor

Abstract

Both neutrinoless double beta decay and leptogenesis require neutrinos to be Majorana fermions. A relation between these two phenomena can be derived once the mechanism of neutrino mass generation is specified. We first derive the constraints on the Majorana phases by minimising the effective neutrino mass in neutrinoless double beta decay with respect to the smallest mass among the light neutrinos. Given these phases, we derive a lower bound on $M_1$ (the mass of the lightest of the heavy neutrinos) in the framework of Type-I seesaw mechanism, subject to the constraint that the CP asymmetry required for adequate leptogenesis is larger than $10^{-8}$. We find that $M_1\ge 10^{10}(10^9)$ GeV for the case of Normal (Inverted) hierarchy. We extend our analysis to the case when one of the heavy neutrinos decouples (two right handed neutrino models). In this case we find $M_1\ge 10^{10}(10^{11})$ GeV for the case of Normal (Inverted) hierarchy.

arXiv comment18 pages, 27 figures

References in corpus (41)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Oscillating neutrinos and mu --> e, gamma
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• A lower bound on the right-handed neutrino mass from leptogenesis
• Resonant Leptogenesis
• Leptogenesis for Pedestrians
• Towards a complete theory of thermal leptogenesis in the SM and MSSM
• Pathways to Naturally Small Neutrino Masses
• Constraints on Neutrino Oscillations Using 1258 Days of Super-Kamiokande Solar Neutrino Data
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• Baryogenesis through leptogenesis
• Baryogenesis from a Lepton Asymmetric Universe
• Search for Majorana neutrinos with the first two years of EXO-200 data
• Electroweak-Scale Resonant Leptogenesis
• Cosmological Sign of Neutrino CP Violation
• First measurement of neutrino oscillation parameters using neutrinos and antineutrinos by NOvA
• Improved limit on neutrinoless double beta decay of ${}^{76}$Ge from GERDA Phase II
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Leptogenesis and Low Energy CP Violation in Neutrino Physics
• CP Violation and Matter Effect in Long Baseline Neutrino Oscillation Experiments
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: I. The Three-Neutrino Mixing Case
• Solar models and solar neutrino oscillations
• CP violation in neutrino oscillation and leptogenesis
• A Bridge between CP violation at Low Energies and Leptogenesis
• On the Connection of Leptogenesis with Low Energy CP Violation and LFV Charged Lepton Decays
• Leptogenesis and the Violation of Lepton Number and CP at Low Energies
• A new bridge between leptonic CP violation and leptogenesis
• On the CP Violation Associated with Majorana Neutrinos and Neutrinoless Double-Beta Decay
• CP Violation vs. Matter Effect in Long-Baseline Neutrino Oscillation Experiments
• Long-baseline neutrino oscillation experiments and CP violation in the lepton sector
• Leptogenesis without CP Violation at Low Energies
• Is CP Violation Observable in Long Baseline Neutrino Oscillation Experiments ?
• CP Violation and Leptogenesis
• Relating Leptogenesis to Low Energy Flavor Violating Observables in Models with Spontaneous CP Violation
• Leptogenesis bound on neutrino masses in left-right symmetric models with spontaneous D-parity violation
• Heavy neutrino mass hierarchy from leptogenesis in left-right symmetric models with spontaneous CP-violation
• Leptogenesis and low energy CP phases with two heavy neutrinos
• Scale of Leptogenesis