Kubo relations and radiative corrections for lepton number washout

Abstract

The rates for lepton number washout in extensions of the Standard Model containing right-handed neutrinos are key ingredients in scenarios for baryogenesis through leptogenesis. We relate these rates to real-time correlation functions at finite temperature, without making use of any particle approximations. The relations are valid to quadratic order in neutrino Yukawa couplings and to all orders in Standard Model couplings. They take into account all spectator processes, and apply both in the symmetric and in the Higgs phase of the electroweak theory. We use the relations to compute washout rates at next-to-leading order in g, where g denotes a Standard Model gauge or Yukawa coupling, both in the non-relativistic and in the relativistic regime. Even in the non-relativistic regime the parametrically dominant radiative corrections are only suppressed by a single power of g. In the non-relativistic regime radiative corrections increase the washout rate by a few percent at high temperatures, but they are of order unity around the weak scale and in the relativistic regime.

arXiv comment27 pages, 3 figures. v2: some clarifications and corrections, references added

References in corpus (23)

• Leptogenesis
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• Baryogenesis through leptogenesis
• Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
• Quantum Leptogenesis I
• Thermal production of ultrarelativistic right-handed neutrinos: Complete leading-order results
• Flavoured Leptogenesis in the CTP Formalism
• Thermal production of relativistic Majorana neutrinos: Strong enhancement by multiple soft scattering
• Spectator processes and baryogenesis
• Finite Number Density Corrections to Leptogenesis
• Leptogenesis from first principles in the resonant regime
• On Higgs and sphaleron effects during the leptogenesis era
• Thermal right-handed neutrino production rate in the non-relativistic regime
• Quark number susceptibilities of hot QCD up to g^6ln(g)
• Towards leptogenesis at NLO: the right-handed neutrino interaction rate
• Melting of the Higgs Vacuum: Conserved Numbers at High Temperature
• Thermal right-handed neutrino production rate in the relativistic regime
• An effective field theory for non-relativistic Majorana neutrinos
• Thermal 2-loop master spectral function at finite momentum
• Electroweak phase diagram at finite lepton number density
• Heavy quark chemical equilibration rate as a transport coefficient
• Baryon Asymmetry of the Universe without Boltzmann or Kadanoff-Baym
• Non-relativistic leptogenesis

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• Status of rates and rate equations for thermal leptogenesis
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