Neutrino propagation when mass eigenstates and decay eigenstates mismatch

Abstract

We point out that the Hermitian and anti-Hermitian components of the effective Hamiltonian for decaying neutrinos cannot be simultaneously diagonalized by unitary transformations for all matter densities. We develop a formalism for the two-flavor neutrino propagation through matter of uniform density, for neutrino decay to invisible states. Employing a resummation of the Zassenhaus expansion, we obtain compact analytic expressions for neutrino survival and conversion probabilities, to first and second order in the "mismatch parameter" $\bar{\gamma }$.

5 pages, 1 figure

References in corpus (4)

• Status of Oscillation plus Decay of Atmospheric and Long-Baseline Neutrinos
• Efficient computation of the Zassenhaus formula
• Constraints on neutrino decay lifetime using long-baseline charged and neutral current data
• Non-Unitary Neutrino Propagation From Neutrino Decay

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• Majorana CP-violating phases and NSI effects in Neutrino Decay