Kubo relations and radiative corrections for lepton number washout

Bödeker, Dietrich (Fakultät für Physik, Universität Bielefeld, Universitätsstrasse 25, Bielefeld, 33615 Germany) ; Laine, M. (Institute for Theoretical Physics, Albert Einstein Center, University of Bern, Sidlerstrasse 5, Bern, 3012 Switzerland)

28 May 2014

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.

Published in: JCAP 1405 (2014) 041
Published by: Institute of Physics Publishing/SISSA
DOI: 10.1088/1475-7516/2014/05/041
arXiv: 1403.2755
License: CC-BY-3.0

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