Oscillation of Dirac and Majorana neutrinos from muon decay in the case of a general interaction

Szafron, Robert; Zrałek, M.

doi:10.1016/j.physletb.2012.10.017

Cited by 5 publications

(4 citation statements)

References 22 publications

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“…The red points are for the Majorana case and blue points for Dirac, which are confined by the black and red curves respectively. The bounds (17) and (18) However, the allowed regions are smaller, as we can see from the blue and red points. Furthermore, the difference between the Dirac and Majorana cases is not simply that the allowed region of the latter is half of the former.…”

Section: Distinguishing Dirac From Majorana Neutrinosmentioning

confidence: 88%

Distinguishing between Dirac and Majorana neutrinos in the presence of general interactions

Rodejohann

Yaguna

2017

J. High Energ. Phys.

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Abstract:We revisit the possibility of distinguishing between Dirac and Majorana neutrinos via neutrino-electron elastic scattering in the presence of all possible Lorentz-invariant interactions. Defining proper observables, certain regions of the parameter space can only be reached for Dirac neutrinos, but never for Majorana neutrinos, thus providing an alternative method to differentiate these two possibilities. We first derive analytically and numerically the most general conditions that would allow to distinguish Dirac from Majorana neutrinos, both in the relativistic and non-relativistic cases. Then, we apply these conditions to data on ν µ -e andν e -e scatterings, from the CHARM-II and TEXONO experiments, and find that they are consistent with both types of neutrinos. Finally, we comment on future prospects of this kind of tests.

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Section: Distinguishing Dirac From Majorana Neutrinosmentioning

confidence: 88%

Distinguishing between Dirac and Majorana neutrinos in the presence of general interactions

Rodejohann

Yaguna

2017

J. High Energ. Phys.

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“…We show that the different flavor neutrinos cannot be described by pure states, but require a density matrix description (note that there are other situations involving neutrinos which also require a density matrix description, such as when dealing with unpolarized beams; see, e.g., Refs. [19][20][21]). We derive the appropriate density matrix and show that, under the appropriate approximations the density matrix description leads to the standard oscillation probability in the standard case of mixing of three light neutrinos.…”

Section: Introductionmentioning

confidence: 99%

Mixed states for mixing neutrinos

Cozzella

Giunti

2018

Phys. Rev. D

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Here we discuss the description of flavor neutrinos produced or detected in processes which involve more than one neutrino. We show that in these cases flavor neutrinos cannot be separately described by pure states, but require a density matrix description. We consider explicitly the examples of νe andνµ production in µ + decay and νµ detection through scattering on electrons. We show that the density matrix which describes a flavor neutrino can be approximated with a density matrix of a pure state only when the differences of the neutrino masses are neglected in the interaction process. In this approximation, the pure states are the standard flavor states and one recovers the standard expression for the neutrino oscillation probability. We discuss also the effects of mixing of the three standard light neutrinos with heavy neutrinos which can be either decoupled because their masses are much larger than the maximum neutrino energy in the neutrino production process or because they are produced and detected incoherently. Finally, we discuss the more complicated case of neutrino-electron elastic scattering, in which the initial and final neutrinos do not have determined flavors, but there is a flavor dependence due to the different contributions of charged-current and neutral-current interactions.

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“…) is a 6 × 6-dimensional block diagonal projection operator to the β flavour direction in the neutrino flavour space [28].…”

Section: The Muon Neutrino Density Matrixmentioning

confidence: 99%

New Physics Right-Chiral CC Coupling Constant Estimation in Neutrino Oscillation Experiments

Syska

2020

Int J Theor Phys

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The error probability of the discrimination of the Standard Model (SM) with massive neutrinos and its new physics (NP) model extension in experiments of the muon neutrino oscillation, following the pion decay π + → μ + + ν μ , is calculated. The stability of the estimation of the NP charged current coupling constant ε R is analysed and the robustness of this estimation is checked. It is shown that the upper bound on the error probability of erroneous identification of the Standard Model with its NP model extension has reached the significantly small value of approximately 2.3 × 10 −6 .

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Oscillation of Dirac and Majorana neutrinos from muon decay in the case of a general interaction

Cited by 5 publications

References 22 publications

Distinguishing between Dirac and Majorana neutrinos in the presence of general interactions

Distinguishing between Dirac and Majorana neutrinos in the presence of general interactions

Mixed states for mixing neutrinos

New Physics Right-Chiral CC Coupling Constant Estimation in Neutrino Oscillation Experiments

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