Density matrix calculation of the dark matter abundance in the Higgs induced right-handed neutrino mixing model

Abstract

We present new results on the calculation of the dark matter relic abundance within the Higgs induced right-handed (RH) neutrino mixing model, solving the associated density matrix equation. For a benchmark value of the dark matter mass $M_{\mathrm{DM}}=220\mathrm{TeV}$, we show the evolution of the abundance and how this depends on reheat temperature, dark matter lifetime and source RH neutrino mass $M_{\mathrm{S}}$, with the assumption $M_{\mathrm{S}}<M_{\mathrm{DM}}$. We compare the results with those obtained within the Landau-Zener approximation, showing that the latter largely overestimates the final abundance giving some analytical insight. However, we also notice that since in the density matrix formalism the production is non-resonant, this allows source RH neutrino masses below the W boson mass, making dark matter more stable at large mass values. This opens an allowed region for initial vanishing source RH neutrino abundance. For example, for $M_{\mathrm{S}}\gtrsim 1\mathrm{GeV}$, we find $M_{\mathrm{DM}}\gtrsim 20\mathrm{PeV}$. Otherwise, for $M_{\mathrm{S}}>M_W\sim 100\mathrm{GeV}$, one has to assume a thermalisation of the source RH neutrinos prior to the freeze-in of the dark matter abundance. This results into a large allowed range for $M_{\mathrm{DM}}$, depending on $M_{\mathrm{S}}$. For example, imposing $M_{\mathrm{S}}\gtrsim 300\mathrm{GeV}$, allowing also successful leptogenesis, we find $0.5\lesssim M_{\mathrm{DM}}/\mathrm{TeV}\lesssim 500$. We also discuss in detail leptogenesis with two quasi-degenerate RH neutrinos, showing a case when observed dark matter abundance and matter-antimatter asymmetry are simultaneously reproduced. Finally, we comment on how an initial thermal source RH neutrino abundance can be justified and on how our results suggest that also the interesting case where $M_{\mathrm{DM}}<M_{\mathrm{S}}$, embeddable in usual high scale two RH neutrino seesaw models, might be viable.

arXiv comment46 pages, 7 figures; v2: appendices B and C added, it matches version to be published in JCAP

References in corpus (59)

• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Evidence for High-Energy Extraterrestrial Neutrinos at the IceCube Detector
• Sterile Neutrinos as Dark Matter
• Oscillating neutrinos and mu --> e, gamma
• Observation of High-Energy Astrophysical Neutrinos in Three Years of IceCube Data
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• A lower bound on the right-handed neutrino mass from leptogenesis
• Leptogenesis for Pedestrians
• The Search for Heavy Majorana Neutrinos
• CP violating decays in leptogenesis scenarios
• First observation of PeV-energy neutrinos with IceCube
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Baryogenesis via neutrino oscillations
• Baryogenesis through leptogenesis
• Big-Bang Nucleosynthesis and Gravitino
• Flavour Issues in Leptogenesis
• The Sphaleron Rate in the Minimal Standard Model
• Cosmic Microwave Background, Matter-Antimatter Asymmetry and Neutrino Masses
• On initial conditions for the Hot Big Bang
• Flavour Matters in Leptogenesis
• Evidence for Astrophysical Muon Neutrinos from the Northern Sky with IceCube
• Higgs-field Portal into Hidden Sectors
• Big-Bang Nucleosynthesis with Unstable Gravitino and Upper Bound on the Reheating Temperature
• Flavor effects on leptogenesis predictions
• Neutrinos at IceCube from Heavy Decaying Dark Matter
• Testing the Dark Matter Scenario for PeV Neutrinos Observed in IceCube
• Are IceCube neutrinos unveiling PeV-scale decaying dark matter?
• Thermal production of ultrarelativistic right-handed neutrinos: Complete leading-order results
• Non-Abelian Boltzmann Equation for Mixing and Decoherence
• Search for a diffuse flux of astrophysical muon neutrinos with the IceCube 59-string configuration
• Search for neutrinos from decaying dark matter with IceCube
• Relic neutrino asymmetry evolution from first principles
• On the Impact of Flavour Oscillations in Leptogenesis
• Leptogenesis beyond the limit of hierarchical heavy neutrino masses
• New aspects of leptogenesis bounds
• Leptogenesis in the two right-handed neutrino model revisited
• A Possible Two-component Flux for the High Energy Neutrino Events at IceCube
• Decaying Leptophilic Dark Matter at IceCube
• Three-Flavoured Non-Resonant Leptogenesis at Intermediate Scales
• Thermal right-handed neutrino production rate in the relativistic regime
• Tribimaximal Mixing, Leptogenesis, and theta13
• Heavy right-handed neutrino dark matter and PeV neutrinos at IceCube
• Scattering Rates For Leptogenesis: Damping of Lepton Flavour Coherence and Production of Singlet Neutrinos
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• Unifying leptogenesis, dark matter and high-energy neutrinos with right-handed neutrino mixing via Higgs portal
• Cold Dark Matter from heavy Right-Handed neutrino mixing
• Low energy IceCube data and a possible Dark Matter related excess
• A Combined Astrophysical and Dark Matter Interpretation of the IceCube HESE and Throughgoing Muon Events
• Relaxing the Cosmological Constant: a Proof of Concept
• Update on decaying and annihilating heavy dark matter with the 6-year IceCube HESE data
• Limits on $T_{RH}$ for thermal leptogenesis with hierarchical neutrino masses
• Viability of Dirac phase leptogenesis
• A consistent model for leptogenesis, dark matter and the IceCube signal
• Dark Matter interpretation of low energy IceCube MESE excess
• Gravitational waves from neutrino mass and dark matter genesis
• Active-sterile neutrino oscillations in the early Universe: asymmetry generation at low |delta m^2| and the Landau-Zener approximation
• Neutrinophilic Dark Matter in the epoch of IceCube and Fermi-LAT
• Majorana Dark Matter
• Analytical and numerical analysis of a rotational invariant D=2 harmonic oscillator in the light of different noncommutative phase-space configurations

Cited by in corpus (9)

• On the origin of matter in the Universe
• PBH-infused seesaw origin of matter and unique gravitational waves
• Gravitational Waves-Tomography of Low-Scale-Leptogenesis
• Gravitational waves from neutrino mass and dark matter genesis
• CP violation in neutral lepton transition dipole moment
• Non-thermal production of lepton asymmetry and dark matter in minimal seesaw with right handed neutrino induced Higgs potential
• Gravitational waves from supercooled phase transitions in conformal Majoron models of neutrino mass
• Gravitational waves from first-order phase transitions in Majoron models of neutrino mass
• Completing RHINO