Geometric phase of neutrinos: Differences between Dirac and Majorana neutrinos

Capolupo, Antonio; Giampaolo, Salvatore Marco; Hiesmayr, Beatrix C.; Vitiello, Giuseppe

doi:10.1016/j.physletb.2018.03.016

Cited by 32 publications

(41 citation statements)

References 68 publications

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“…Another distinction between Dirac and Majorana neutrinos comes up from the analysis of geometric phases for neutrinos propagating in matter (see appendix). Using the Mukunda-Simon definition, one concludes that the geometric phase associated to a single flavor Equation 48 is not affected by the Dirac/Majorana distinction [169]. On the contrary, the phases associated with the mixing, Equations 49, 50 show an explicit dependence on the Majorana phase ϕ.…”

Section: Dirac and Majorana Neutrinosmentioning

confidence: 94%

“…More specifically, R p ≤ 2 for Majorana neutrinos, and R p > 4 for Dirac neutrinos. Other alternative methods to determine the Majorana and Dirac nature stem from the differences that arise in presence of decoherence [167,168] and in the propagation through a medium [169]. Let us recall the main distinctions between the two kinds of neutrinos.…”

Section: Dirac and Majorana Neutrinosmentioning

confidence: 99%

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Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

et al. 2021

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In Cosmology and in Fundamental Physics there is a crucial question like: where the elusive substance that we call Dark Matter is hidden in the Universe and what is it made of? that, even after 40 years from the Vera Rubin seminal discovery [1] does not have a proper answer. Actually, the more we have investigated, the more this issue has become strongly entangled with aspects that go beyond the established Quantum Physics, the Standard Model of Elementary particles and the General Relativity and related to processes like the Inflation, the accelerated expansion of the Universe and High Energy Phenomena around compact objects. Even Quantum Gravity and very exotic Dark Matter particle candidates may play a role in framing the Dark Matter mystery that seems to be accomplice of new unknown Physics. Observations and experiments have clearly indicated that the above phenomenon cannot be considered as already theoretically framed, as hoped for decades. The Special Topic to which this review belongs wants to penetrate this newly realized mystery from different angles, including that of a contamination of different fields of Physics apparently unrelated. We show with the works of this ST that this contamination is able to guide us into the required new Physics. This review wants to provide a good number of these “paths or contamination” beyond/among the three worlds above; in most of the cases, the results presented here open a direct link with the multi-scale dark matter phenomenon, enlightening some of its important aspects. Also in the remaining cases, possible interesting contacts emerges. Finally, a very complete and accurate bibliography is provided to help the reader in navigating all these issues.

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Section: Dirac and Majorana Neutrinosmentioning

confidence: 94%

Section: Dirac and Majorana Neutrinosmentioning

confidence: 99%

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

et al. 2021

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“…The most known and studied physical effect which could shed some light on neutrino nature is the neutrinoless double beta decay for which several experiments have been proposed [7], but so far no results have been obtained. Recently, to discriminate between Dirac and Majorana neutrinos also other scenarios have been proposed in which the fundamental physical quantity is not the decay rate of a process but, for instance, the Leggett-Garg K 3 quantity [8] and the geometric phase for neutrinos [9]. Moreover, it is also well known that the neutrino oscillation formulae in the presence of decoherence can depend on the Majorana phase [10,11].…”

Section: Introductionmentioning

confidence: 99%

Revealing neutrino nature and CPT violation with decoherence effects

et al. 2020

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We study decoherence effects on mixing among three generations of neutrinos. We show that in presence of a non-diagonal dissipation matrix, both Dirac and Majorana neutrinos can violate the CPT symmetry and the oscillation formulae depend on the parametrization of the mixing matrix. We reveal the CP violation in the transitions preserving the flavor, for a certain form of the dissipator. In particular, for such dissipators, the CP violation affects all the transitions in the case of Majorana neutrinos, unlike Dirac neutrinos which still preserve the CP symmetry in one of the transitions flavor preserving. The precise form of the dissipation matrix is not known a-priori as it depends on the nature of the phenomenon that originates it. However, our theoretical results show that decoherence effects, if exist for neutrinos, could allow to reveal the neutrino nature and to test fundamental symmetries.

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“…Here we take this up further by including earth's matter effect and inputs from ongoing neutrino oscillation experimental setups. Recently, attempts have been made towards establishing the Dirac or Majorana nature of neutrinos using noncyclic GP [19,20]. In [21] the topological phase in two-flavor neutrino oscillations was discussed by using the analogy between the two-flavor state and the polarization states in optics.…”

Section: Introductionmentioning

confidence: 99%

Geometric phase and neutrino mass hierarchy problem

Dixit

Alok

Banerjee

et al. 2018

J. Phys. G: Nucl. Part. Phys.

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We study the geometric phase for neutrinos at various man-made facilities, such as the reactor and accelerator neutrino experiments. The analysis is done for the three flavor neutrino scenario, in the presence of matter and for general, noncyclic paths. The geometric phase is seen to be sensitive to the CP violating phase in the leptonic sector and the sign ambiguity in ∆31. We find that for neutrino experimental facilities where the geometric phase can complete one cycle, all the phase curves corresponding to different values of CP violating phase, converge to a single point, called the cluster point. There are two distinct cluster points for positive and negative signs of ∆31. Thus the geometric phase can contribute to our understanding of the neutrino mass hierarchy problem.

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Geometric phase of neutrinos: Differences between Dirac and Majorana neutrinos

Cited by 32 publications

References 68 publications

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

Revealing neutrino nature and CPT violation with decoherence effects

Geometric phase and neutrino mass hierarchy problem

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