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Title: 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.

Authors:
 [1]
  1. 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 1475-7516
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 0400-1000 K; WASHOUT; YUKAWA POTENTIAL

Citation Formats

Bödeker, Dietrich, and Laine, M., E-mail: bodeker@physik.uni-bielefeld.de, E-mail: laine@itp.unibe.ch. Kubo relations and radiative corrections for lepton number washout. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/05/041.
Bödeker, Dietrich, & Laine, M., E-mail: bodeker@physik.uni-bielefeld.de, E-mail: laine@itp.unibe.ch. Kubo relations and radiative corrections for lepton number washout. United States. doi:10.1088/1475-7516/2014/05/041.
Bödeker, Dietrich, and Laine, M., E-mail: bodeker@physik.uni-bielefeld.de, E-mail: laine@itp.unibe.ch. Thu . "Kubo relations and radiative corrections for lepton number washout". United States. doi:10.1088/1475-7516/2014/05/041.
@article{osti_22373553,
title = {Kubo relations and radiative corrections for lepton number washout},
author = {Bödeker, Dietrich and Laine, M., E-mail: bodeker@physik.uni-bielefeld.de, E-mail: laine@itp.unibe.ch},
abstractNote = {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.},
doi = {10.1088/1475-7516/2014/05/041},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 05,
volume = 2014,
place = {United States},
year = {2014},
month = {5}
}