Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physletb.2021.136376
Title: Comment on: “Geometric phase of neutrinos: Differences between Dirac and Majorana neutrinos” [Phys. Lett. B 780 (2018) 216]
Authors: Lu, Jianlong
Keywords: Majorana CP-violating phase
Neutrino mixing
Noncyclic geometric phase
Issue Date: 1-Jul-2021
Publisher: Elsevier B.V.
Citation: Lu, Jianlong (2021-07-01). Comment on: “Geometric phase of neutrinos: Differences between Dirac and Majorana neutrinos” [Phys. Lett. B 780 (2018) 216]. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 818 : 136376. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physletb.2021.136376
Rights: Attribution 4.0 International
Abstract: In [5] (2018), Capolupo et al. calculate the noncyclic geometric phases associated with neutrino flavor transitions in the two-neutrino scenario, and claim that the results depend on the choice of representations of neutrino mixing matrix thus can be used to distinguish between Dirac and Majorana neutrinos. In this paper, we show that their calculation is flawed due to incorrect application of the definition of noncyclic geometric phase and the omission of one term in Wolfenstein effective Hamiltonian. Their results are neither gauge invariant nor lepton field rephasing invariant. We present an alternative calculation, which is solely in order to demonstrate that the Majorana CP-violating phase enters the geometric phase essentially by lepton field rephasing transformation. We point out that the seemingly nontrivial dependence of geometric phase on Majorana CP-violating phase presented in Capolupo et al. (2018) [5] is unphysical and thus unmeasurable. © 2021 The Author(s)
Source Title: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
URI: https://scholarbank.nus.edu.sg/handle/10635/233490
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2021.136376
Rights: Attribution 4.0 International
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