PoS - Proceedings of Science
Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Neutrino Physics
Analytic treatment of neutrino oscillation and decay in matter
D.S. Chattopadhyay*, K. Chakraborty, A. Dighe, S. Goswami and S.M. Lakshmi
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Pre-published on: December 22, 2022
Published on: June 15, 2023
We analyze invisible decay of neutrinos in the presence of oscillation and matter effects.
The inclusion of decay can be accommodated by a non-Hermitian effective Hamiltonian, with the Hermitian component giving rise to oscillations, and the anti-Hermitian component leading to the invisible decay of neutrinos.
We consider the possibility that the oscillation and decay matrix may not commute; in fact, in matter, they will invariably become non-commuting. This would lead to a mismatch between the effective mass eigenstates and the decay eigenstates.
Employing a resummation of the Zassenhaus expansion, we develop a formalism for calculating the neutrino oscillation probabilities in the two-flavor scenario. This technique can easily be extended to three flavors.
DOI: https://doi.org/10.22323/1.414.1241
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