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30 May 2022 to 4 June 2022
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Analytical treatment of neutrino propagation and decay in matter

Not scheduled
Virtual Seoul

Virtual Seoul

Poster Neutrino oscillation Poster


Mr Dibya S. Chattopadhyay (Tata Institute of Fundamental Research, Mumbai, India)


We find compact analytical expressions for neutrino oscillation probabilities, with invisible neutrino decay and matter effects included in 2-flavor and 3-flavor formalisms. The decay may be represented by an effective Hamiltonian which is non-Hermitian. The Hermitian and the anti-Hermitian components of this Hamiltonian need not commute; in the presence of matter, these components invariably become non-commuting. The effective mass eigenstates and the decay eigenstates of the neutrinos then do not coincide. We overcome this in multiple different ways --- by employing a resummation of inverse Baker-Campbell-Hausdorff (BCH) expansion, using One Mass Scale Dominance (OMSD) approximation, and Cayley-Hamilton theorem --- to calculate the effects of decay to the neutrino probabilities. These results provide physical insights into possible effects of neutrino decay at long-baseline neutrino oscillation experiments.

Primary authors

Mr Dibya S. Chattopadhyay (Tata Institute of Fundamental Research, Mumbai, India) Dr Kaustav Chakraborty (Physical Research Laboratory, Ahmedabad, India) Prof. Amol Dighe (Tata Institute of Fundamental Research, Mumbai, India) Prof. Srubabati Goswami (Physical Research Laboratory, Ahmedabad, India) Dr Lakshmi S Mohan (National Centre for Nuclear Research, Warsaw, Poland)

Presentation Materials