Abstract

We address some theoretical issues of the quantum decoherence phenomenon within the neutrino oscillation framework and carry out various tests under DUNE simulated experimental environment. On the theoretical side, we provide a general expression for an invariant decoherence matrix under a quantum basis rotation. On the simulated experimental side, considering a rotation invariant and a non-invariant decoherence matrix, we study the impact on the fitting of the standard oscillation parameters, the sensitivity in the mass hierarchy and CP violation, combining the neutrino and antineutrino mode and all available neutrino oscillation probabilities channels. Furthermore, a sensitivity for the decoherence parameter of order $10^{-24}\text{GeV}$ at 3$\sigma$, is obtained for our best case.

Highlights

  • It is well established that neutrino oscillation is induced by a nonzero neutrino mass [1,2,3,4,5,6,7]

  • We address some theoretical issues of the quantum decoherence phenomenon within the neutrino oscillation framework and carry out various tests the under DUNE simulated experimental environment

  • On the simulated experimental side, considering a rotation-invariant and noninvariant decoherence matrix, we study the impact on the fitting of the standard oscillation parameters, the sensitivity in the mass hierarchy, and the CP violation, combining the neutrino and antineutrino mode and all available neutrino oscillation probabilities channels

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Summary

INTRODUCTION

It is well established that neutrino oscillation is induced by a nonzero neutrino mass [1,2,3,4,5,6,7]. The typical trait of this subleading effect is to the neutrino (oscillation) connection with physics beyond the Standard Model Within this category, there are several theoretical hypotheses such as: neutrino decay [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33], nonstandard neutrino interactions [34,35,36,37,38,39,40], Lorentz and CPT invariance violation [41,42,43,44,45,46,47], etc. The study of the degeneracy between Γ and δ, in agreement with our second motivation point

Density matrix formalism
Invariant matrices analysis
Adding Hamiltonian terms in the weak coupling limit
Selected decoherence matrix models
Model A
Analytical comparison between model A and B
SIMULATION AND RESULTS
Determination of standard oscillation parameters
Effects of decoherence on constraining δ
Constraining the decoherence parameter
Mass ordering and CP violation sensitivity
SUMMARY AND CONCLUSIONS

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