Abstract
Using the non-equilibrium Green function method (Kadanoff-Baym equations) in the expanding universe, we investigate evolution of the lepton number asymmetry when the right-handed (RH) neutrinos have almost degenerate masses \( |M_i^2-M_j^2| \ll M_i^2 \) . The resonantly enhanced CP-violating parameter ε i associated with the decay of the RH neutrino N i is obtained under an assumption that the off-diagonal component of the Yukawa coupling is smaller than the diagonal one. It is proportional to an enhancement factor \( \left( {M_i^2-M_j^2} \right){{{{M_i}{\varGamma_j}}} \left/ {{\left( {{{{\left( {M_i^2-M_j^2} \right)}}^2}+R_{ij}^2} \right)}} \right.} \) with the regulator R ij = M i Γ i + M j Γ j . The result is consistent with the previous result obtained by Garny et al., in a constant background with an out-of-equilibrium initial state. We discuss the origin of such a regulator, and why it is not like R ij = M i Γ i − MjΓ j .
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Iso, S., Shimada, K. & Yamanaka, M. Kadanoff-Baym approach to the thermal resonant leptogenesis. J. High Energ. Phys. 2014, 62 (2014). https://doi.org/10.1007/JHEP04(2014)062
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DOI: https://doi.org/10.1007/JHEP04(2014)062