Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit

Bödeker D, Sangel M (2017)
Journal of Cosmology and Astroparticle Physics 2017(6): 052.

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Abstract
The rates for generating a matter-antimatter asymmetry in extensions of the Standard Model (SM) containing right-handed neutrinos are the most interesting and least trivial coefficients in the rate equations for baryogenesis through thermal leptogenesis. We obtain a relation of these rates to finite-temperature real-time correlation functions, similar to the Kubo formulas for transport coefficients. Then we consider the case of hierarchical masses for the sterile neutrinos. At leading order in their Yukawa couplings we find a simple master formula which relates the rates to a single finite temperature three-point spectral function. It is valid to all orders in g,where g denotes a SM gauge or quark Yukawa coupling. We use it to compute the rate for generating a matter-antimatter asymmetry at next-to-leading order in g in the non-relativistic regime. The corrections are of order g2, and they amount to 4% or less.
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Bödeker D, Sangel M. Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit. Journal of Cosmology and Astroparticle Physics. 2017;2017(6): 052.
Bödeker, D., & Sangel, M. (2017). Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit. Journal of Cosmology and Astroparticle Physics, 2017(6), 052. doi:10.1088/1475-7516/2017/06/052
Bödeker, D., and Sangel, M. (2017). Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit. Journal of Cosmology and Astroparticle Physics 2017:052.
Bödeker, D., & Sangel, M., 2017. Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit. Journal of Cosmology and Astroparticle Physics, 2017(6): 052.
D. Bödeker and M. Sangel, “Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit”, Journal of Cosmology and Astroparticle Physics, vol. 2017, 2017, : 052.
Bödeker, D., Sangel, M.: Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit. Journal of Cosmology and Astroparticle Physics. 2017, : 052 (2017).
Bödeker, Dietrich, and Sangel, Marc. “Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit”. Journal of Cosmology and Astroparticle Physics 2017.6 (2017): 052.
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