Speaker
Description
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.
