Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing

Kimmo Kainulainen, Harri Parkkinen

Research output: Contribution to journalArticleScientificpeer-review


We derive quantum kinetic equations for mixing neutrinos including consistent forward scattering terms and collision integrals for coherent neutrino states. In practice, we reduce the general Kadanoff-Baym equations in a few clearly justified steps to a generalized density matrix equation that describes both the flavour- and particle-antiparticle coherences and is valid for arbitrary neutrino masses and kinematics. We then reduce this equation to a simpler particle-antiparticle diagonal limit and eventually to the ultra-relativistic limit. Our derivation includes simple Feynman rules for computing collision integrals with the coherence information. We also expose a novel spectral shell structure underlying the mixing phenomenon and quantify how the prior information on the system impacts on the QKE’s, leading to a direct effect on its evolution. Our results can be used for example to accurately model neutrino distributions in hot and dense environments and to study the production and decay of mixing heavy neutrinos in colliders.

Original languageEnglish
Article number217
JournalJournal of High Energy Physics
Issue number2
Number of pages42
Publication statusPublished - 27 Feb 2024
MoE publication typeA1 Journal article-refereed

Fields of Science

  • Neutrino Interactions
  • Neutrino Mixing
  • Sterile or Heavy Neutrinos
  • 114 Physical sciences

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