Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations
Abstract
Leptogenesis with heavy neutrino flavours is discussed within a density matrix formalism. We write the density matrix equation, describing the generation of the matterantimatter asymmetry, for an arbitrary choice of the righthanded (RH) neutrino masses. For hierarchical RH neutrino masses lying in the fully flavoured regimes, this reduces to multiplestage Boltzmann equations. In this case we recover and extend results previously derived within a quantum state collapse description. We confirm the generic existence of phantom terms. However, taking into account the effect of gauge interactions, we show that they are washed out at the production with a washout rate that is halved compared to that one acting on the total asymmetry. In the N{sub 1}dominated scenario they cancel without contributing to the final baryon asymmetry. In other scenarios they do not in general and they have to be taken into account. We also confirm that there is a (orthogonal) component in the asymmetry produced by the heavier RH neutrinos which completely escapes the washout from the lighter RH neutrinos and show that phantom terms additionally contribute to it. The other (parallel) component is washed out with the usual exponential factor, even for weak washout. Finally, as an illustration, we studymore »
 Authors:
 Institut de Théorie des Phénomènes Physiques, École Polytechnique Fédérale de Lausanne, CH1015 Lausanne (Switzerland)
 School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ (United Kingdom)
 Publication Date:
 OSTI Identifier:
 22279633
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTIMATTER; ASTROPHYSICS; ASYMMETRY; BARYONS; BOLTZMANN EQUATION; COMPARATIVE EVALUATIONS; COSMOLOGY; DENSITY MATRIX; FLAVOR MODEL; NEUTRINOS; PARTICLE PRODUCTION; PHANTOMS; QUANTUM STATES; REST MASS; VISIBLE RADIATION
Citation Formats
Blanchet, Steve, Bari, Pasquale Di, Jones, David A., and Marzola, Luca, Email: steve.blanchet@uam.es, Email: pdb1d08@soton.ac.uk, Email: lm10g09@soton.ac.uk, Email: daj1g08@soton.ac.uk. Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations. United States: N. p., 2013.
Web. doi:10.1088/14757516/2013/01/041.
Blanchet, Steve, Bari, Pasquale Di, Jones, David A., & Marzola, Luca, Email: steve.blanchet@uam.es, Email: pdb1d08@soton.ac.uk, Email: lm10g09@soton.ac.uk, Email: daj1g08@soton.ac.uk. Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations. United States. doi:10.1088/14757516/2013/01/041.
Blanchet, Steve, Bari, Pasquale Di, Jones, David A., and Marzola, Luca, Email: steve.blanchet@uam.es, Email: pdb1d08@soton.ac.uk, Email: lm10g09@soton.ac.uk, Email: daj1g08@soton.ac.uk. 2013.
"Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations". United States.
doi:10.1088/14757516/2013/01/041.
@article{osti_22279633,
title = {Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations},
author = {Blanchet, Steve and Bari, Pasquale Di and Jones, David A. and Marzola, Luca, Email: steve.blanchet@uam.es, Email: pdb1d08@soton.ac.uk, Email: lm10g09@soton.ac.uk, Email: daj1g08@soton.ac.uk},
abstractNote = {Leptogenesis with heavy neutrino flavours is discussed within a density matrix formalism. We write the density matrix equation, describing the generation of the matterantimatter asymmetry, for an arbitrary choice of the righthanded (RH) neutrino masses. For hierarchical RH neutrino masses lying in the fully flavoured regimes, this reduces to multiplestage Boltzmann equations. In this case we recover and extend results previously derived within a quantum state collapse description. We confirm the generic existence of phantom terms. However, taking into account the effect of gauge interactions, we show that they are washed out at the production with a washout rate that is halved compared to that one acting on the total asymmetry. In the N{sub 1}dominated scenario they cancel without contributing to the final baryon asymmetry. In other scenarios they do not in general and they have to be taken into account. We also confirm that there is a (orthogonal) component in the asymmetry produced by the heavier RH neutrinos which completely escapes the washout from the lighter RH neutrinos and show that phantom terms additionally contribute to it. The other (parallel) component is washed out with the usual exponential factor, even for weak washout. Finally, as an illustration, we study the two RH neutrino model in the light of the above findings, showing that phantom terms can contribute to the final asymmetry also in this case.},
doi = {10.1088/14757516/2013/01/041},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 01,
volume = 2013,
place = {United States},
year = 2013,
month = 1
}

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