Hard-Thermal-Loop Corrections in Leptogenesis II: Solving the Boltzmann Equations

Abstract

We investigate hard-thermal-loop (HTL) corrections to the final lepton asymmetry in leptogenesis. To this end we solve the Boltzmann equations with HTL-corrected rates and CP asymmetries, which we calculated in paper I of this series. We pay special attention to the influence of the two leptonic quasiparticles that arise at non-zero temperature. We include only decays and inverse decays and allow for the lepton modes to be either decoupled from each other, or to be in chemical equilibrium by some strong interaction, simulating the interaction with gauge bosons. In two additional cases, we approximate the full HTL lepton propagators with zero-temperature propagators, where we replace the zero-temperature mass by the thermal mass of the leptons $m_{\ell }(T)$ or the asymptotic mass $\sqrt{2}{m}_{\ell }(T)$. We compare the final lepton asymmetries of the four thermal cases and the zero-temperature case for zero, thermal and dominant initial neutrino abundance. The final lepton asymmetries of the thermal cases differ considerably from the vacuum case and from each other in the weak washout regime for zero initial neutrino abundance and in the intermediate regime for dominant initial neutrino abundance. In the strong washout regime, the final lepton asymmetry can be enhanced by a factor of two in the case of strongly interacting lepton modes.

51 pages, 27 figures

References in corpus (7)

• Leptogenesis
• Thermal production of relativistic Majorana neutrinos: Strong enhancement by multiple soft scattering
• Full Boltzmann equations for leptogenesis including scattering
• Medium corrections to the CP-violating parameter in leptogenesis
• Leptogenesis: The Other Cuts
• Quantum corrections to leptogenesis from the gradient expansion
• Hard-Thermal-Loop Corrections in Leptogenesis I: CP-Asymmetries

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• Effective Theory of Resonant Leptogenesis in the Closed-Time-Path Approach
• Scattering Rates For Leptogenesis: Damping of Lepton Flavour Coherence and Production of Singlet Neutrinos
• Systematic approach to thermal leptogenesis
• Dilepton rate and quark number susceptibility with the Gribov action
• Relativistic and spectator effects in leptogenesis with heavy sterile neutrinos
• Asymmetric Dark Matter and CP Violating Scatterings in a UV Complete Model
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
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• Photon Damping in One-Loop HTL Perturbation Theory
• Dark matter freeze-in via a light fermion mediator: forbidden decay and scattering
• Neutrino spectral density at electroweak scale temperature
• Scattering versus Forbidden Decay in Dark Matter Freeze-in