Abstract
We re-examine the matter neutrino oscillation probabilities considering the decoherence phenomenon as a sub-leading effect. In this paper we point out the relevance of having the correct interpretation of the decoherence matrix in the different quantum bases, within the framework of neutrino oscillation probabilities in matter. Based on this treatment we develop an analytical formula for matter neutrino oscillation probabilities for three generations, with a range of application up to the decoherence parameter $\Gamma \sim 10^{-23}$ GeV. We observe that, due to decoherence, the amplitudes of the neutrino/antineutrino oscillation probabilities increase in an energy independent way. We also find that decoherence can reduce the absolute value of the CP asymmetry, relative to its value at the pure oscillation case. As a side effect we have found a degeneracy between the decoherence parameter $\Gamma$ and the CP violation phase $\delta$.
Highlights
The neutrino oscillations caused by nonzero neutrino mass is a well established phenomenon supported by numerous experimental data accumulated since two decades ago [1,2,3,4,5,6,7].Even though all the evidence indicates that the neutrino oscillation relies on the interference between different neutrino mass eigenstates, the presence of an as yet undetected subleading mechanism is still possible
When solving the system in the matter mass eigenstates basis (MMB) we have to check if the decoherence matrix we propose in this basis can be generated from a rotation of the corresponding one in the vacuum mass eigenstates basis (VMB), where the decoherence matrix is, defined
The effect of rotating from the VMB to the MMB was mentioned, pointing out that such a rotation inevitably changes the form of the decoherence matrix in the new basis
Summary
The neutrino oscillations caused by nonzero neutrino mass is a well established phenomenon supported by numerous experimental data accumulated since two decades ago [1,2,3,4,5,6,7].Even though all the evidence indicates that the neutrino oscillation relies on the interference between different neutrino mass eigenstates, the presence of an as yet undetected subleading mechanism is still possible. The decoherence phenomenon tends to destroy the interference pattern, through the introduction of damping terms of the type of e−ΓL (where Γ is a decoherence parameter and L is the neutrino source-detector distance or baseline). It is possible for this phenomenon to modify the oscillation frequencies
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