2011/12/07 by Sebastian Hollenberg, Octavian Micu, Palash B. Pal · 1 citation
Physics and Astronomy · #Adiabatic process #Astrophysics and Cosmic Phenomena #CP violation #Lepton #Lepton number #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Physics beyond the Standard Model #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.85.053004
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(5) (American Physical Society) · 11 pages, LaTeX, no figure
arxiv created 2011/12/07 · openalex publication_date 2012/03/12 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a nonadiabatic perturbation theory for oscillations involving an arbitrary number of neutrino and antineutrino species, including the possibility of lepton-number violation which we treat as a small effect. We interpret the physics of such an approach for the one generation case by introducing the notion of adiabaticity for neutrino and antineutrino oscillations in analogy to flavor oscillations. We find that in a CP-odd matter environment a small lepton-number violation in vacuo can be enhanced. Eventually, we apply the perturbation theory to the two generation case and work out an example for manifestations of lepton-number violation, which can be solved both perturbatively as well as analytically thereby further clarifying the nature of the perturbation expansion.