Kubo relations and radiative corrections for lepton number washout
Abstract
The rates for lepton number washout in extensions of the Standard Model containing righthanded neutrinos are key ingredients in scenarios for baryogenesis through leptogenesis. We relate these rates to realtime 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 nexttoleading order in g, where g denotes a Standard Model gauge or Yukawa coupling, both in the nonrelativistic and in the relativistic regime. Even in the nonrelativistic regime the parametrically dominant radiative corrections are only suppressed by a single power of g. In the nonrelativistic 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.
 Authors:

 Fakultät für Physik, Universität Bielefeld, Universitätsstrasse 25, Bielefeld, 33615 (Germany)
 Publication Date:
 OSTI Identifier:
 22373553
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2014; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRELATION FUNCTIONS; HIGGS MODEL; LEPTON NUMBER; NEUTRINOS; PARTICLE PRODUCTION; RADIATIVE CORRECTIONS; RELATIVISTIC RANGE; STANDARD MODEL; SYMMETRY; TEMPERATURE RANGE 04001000 K; WASHOUT; YUKAWA POTENTIAL
Citation Formats
Bödeker, Dietrich, and Laine, M., Email: bodeker@physik.unibielefeld.de, Email: laine@itp.unibe.ch. Kubo relations and radiative corrections for lepton number washout. United States: N. p., 2014.
Web. doi:10.1088/14757516/2014/05/041.
Bödeker, Dietrich, & Laine, M., Email: bodeker@physik.unibielefeld.de, Email: laine@itp.unibe.ch. Kubo relations and radiative corrections for lepton number washout. United States. doi:10.1088/14757516/2014/05/041.
Bödeker, Dietrich, and Laine, M., Email: bodeker@physik.unibielefeld.de, Email: laine@itp.unibe.ch. Thu .
"Kubo relations and radiative corrections for lepton number washout". United States. doi:10.1088/14757516/2014/05/041.
@article{osti_22373553,
title = {Kubo relations and radiative corrections for lepton number washout},
author = {Bödeker, Dietrich and Laine, M., Email: bodeker@physik.unibielefeld.de, Email: laine@itp.unibe.ch},
abstractNote = {The rates for lepton number washout in extensions of the Standard Model containing righthanded neutrinos are key ingredients in scenarios for baryogenesis through leptogenesis. We relate these rates to realtime 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 nexttoleading order in g, where g denotes a Standard Model gauge or Yukawa coupling, both in the nonrelativistic and in the relativistic regime. Even in the nonrelativistic regime the parametrically dominant radiative corrections are only suppressed by a single power of g. In the nonrelativistic 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.},
doi = {10.1088/14757516/2014/05/041},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 05,
volume = 2014,
place = {United States},
year = {2014},
month = {5}
}