A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy

DOI10.1016/J.NUCLPHYSB.2019.114872zbMATH Open1472.81294arXiv1710.05562OpenAlexW2995590397WikidataQ126561575 ScholiaQ126561575MaRDI QIDQ2230134

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Publication date: 17 September 2021

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Abstract: In this work, we derive a quantum information theoretic quantity similar to the Leggett-Garg inequality, which can be defined in terms of neutrino transition probabilities. For the case of $$ transitions, this quantity is sensitive to CP violating effects as well as the neutrino mass-hierarchy, namely which neutrino mass eigenstate is heavier than the other ones. The violation of the inequality for this quantity shows an interesting dependence on mass-hierarchy. For normal (inverted) mass-hierarchy, it is significant for $u_{m}uo{u}_e$ ($$) transitions. This is applied to the two ongoing accelerator experiments T$2$K and NO$u$A as well as the future experiment DUNE.

Full work available at URL: https://arxiv.org/abs/1710.05562

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