Boltzmann hierarchy for interacting neutrinos I: formalism

Oldengott IM, Rampf C, Wong YYY (2015)
Journal of Cosmology and Astroparticle Physics 2015(4): 16.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Oldengott, Isabel MiraUniBi; Rampf, Cornelius; Wong, Yvonne Y. Y.
Abstract / Bemerkung
Starting from the collisional Boltzmann equation, we derive for the first time and from first principles the Boltzmann hierarchy for neutrinos including interactions with a scalar particle. Such interactions appear, for example, in majoron-like models of neutrino mass generation. We study two limits of the scalar mass: (i) An extremely massive scalar whose only role is to mediate an effective 4-fermion neutrino-neutrino interaction, and (ii) a massless scalar that can be produced in abundance and thus demands its own Boltzmann hierarchy. In contrast to, e.g., the first-order Boltzmann hierarchy for Thomson-scattering photons, our interacting neutrino/scalar Boltzmann hierarchies contain additional momentum-dependent collision terms arising from a non-negligible energy transfer in the neutrino-neutrino and neutrino-scalar interactions. This necessitates that we track each momentum mode of the phase space distributions individually, even if the particles were massless. Comparing our hierarchy with the commonly used (c(eff)(2), c(vis)(2))-parameterisation, we find no formal correspondence between the two approaches, which raises the question of whether the latter parameterisation even has an interpretation in terms of particle scattering. Lastly, although we have invoked majoron-like models as a motivation for our study, our treatment is in fact generally applicable to all scenarios in which the neutrino and/or other ultrarelativistic fermions interact with scalar particles.
Stichworte
cosmological neutrinos; cosmological perturbation; CMBR theory; neutrino properties; theory
Erscheinungsjahr
2015
Zeitschriftentitel
Journal of Cosmology and Astroparticle Physics
Band
2015
Ausgabe
4
Art.-Nr.
16
ISSN
1475-7516
Page URI
https://pub.uni-bielefeld.de/record/2759948

Zitieren

Oldengott IM, Rampf C, Wong YYY. Boltzmann hierarchy for interacting neutrinos I: formalism. Journal of Cosmology and Astroparticle Physics. 2015;2015(4): 16.
Oldengott, I. M., Rampf, C., & Wong, Y. Y. Y. (2015). Boltzmann hierarchy for interacting neutrinos I: formalism. Journal of Cosmology and Astroparticle Physics, 2015(4), 16. doi:10.1088/1475-7516/2015/04/016
Oldengott, Isabel Mira, Rampf, Cornelius, and Wong, Yvonne Y. Y. 2015. “Boltzmann hierarchy for interacting neutrinos I: formalism”. Journal of Cosmology and Astroparticle Physics 2015 (4): 16.
Oldengott, I. M., Rampf, C., and Wong, Y. Y. Y. (2015). Boltzmann hierarchy for interacting neutrinos I: formalism. Journal of Cosmology and Astroparticle Physics 2015:16.
Oldengott, I.M., Rampf, C., & Wong, Y.Y.Y., 2015. Boltzmann hierarchy for interacting neutrinos I: formalism. Journal of Cosmology and Astroparticle Physics, 2015(4): 16.
I.M. Oldengott, C. Rampf, and Y.Y.Y. Wong, “Boltzmann hierarchy for interacting neutrinos I: formalism”, Journal of Cosmology and Astroparticle Physics, vol. 2015, 2015, : 16.
Oldengott, I.M., Rampf, C., Wong, Y.Y.Y.: Boltzmann hierarchy for interacting neutrinos I: formalism. Journal of Cosmology and Astroparticle Physics. 2015, : 16 (2015).
Oldengott, Isabel Mira, Rampf, Cornelius, and Wong, Yvonne Y. Y. “Boltzmann hierarchy for interacting neutrinos I: formalism”. Journal of Cosmology and Astroparticle Physics 2015.4 (2015): 16.
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Teil dieser Dissertation
Constraints on particle properties from the cosmic microwave background
Oldengott IM (2017)
Bielefeld: Universität Bielefeld.
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