Estimation of Neutrino Masses Without Using Seesaw Mechanism

Teruo Kurai

doi:doi:10.11648/j.ijhep.20190602.14

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Estimation of Neutrino Masses Without Using Seesaw Mechanism

Teruo Kurai

Published in International Journal of High Energy Physics (Volume 6, Issue 2)

Received: 8 December 2019 Accepted: 16 December 2019 Published: 24 December 2019

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Abstract

We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.

Published in	International Journal of High Energy Physics (Volume 6, Issue 2)
DOI	10.11648/j.ijhep.20190602.14
Page(s)	54-60
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Beth-Salpeter-like Amplitude, Spin Operator, Neutrino Mass

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APA Style

Teruo Kurai. (2019). Estimation of Neutrino Masses Without Using Seesaw Mechanism. International Journal of High Energy Physics, 6(2), 54-60. https://doi.org/10.11648/j.ijhep.20190602.14

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Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int. J. High Energy Phys. 2019, 6(2), 54-60. doi: 10.11648/j.ijhep.20190602.14

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Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int J High Energy Phys. 2019;6(2):54-60. doi: 10.11648/j.ijhep.20190602.14

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@article{10.11648/j.ijhep.20190602.14,
  author = {Teruo Kurai},
  title = {Estimation of Neutrino Masses Without Using Seesaw Mechanism},
  journal = {International Journal of High Energy Physics},
  volume = {6},
  number = {2},
  pages = {54-60},
  doi = {10.11648/j.ijhep.20190602.14},
  url = {https://doi.org/10.11648/j.ijhep.20190602.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20190602.14},
  abstract = {We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.},
 year = {2019}
}

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TY  - JOUR
T1  - Estimation of Neutrino Masses Without Using Seesaw Mechanism
AU  - Teruo Kurai
Y1  - 2019/12/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ijhep.20190602.14
DO  - 10.11648/j.ijhep.20190602.14
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20190602.14
AB  - We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.
VL  - 6
IS  - 2
ER  -

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Author Information

Teruo Kurai

Fuchuu-shi, Tokyo, Japan

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APA Style

Teruo Kurai. (2019). Estimation of Neutrino Masses Without Using Seesaw Mechanism. International Journal of High Energy Physics, 6(2), 54-60. https://doi.org/10.11648/j.ijhep.20190602.14

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ACS Style

Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int. J. High Energy Phys. 2019, 6(2), 54-60. doi: 10.11648/j.ijhep.20190602.14

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AMA Style

Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int J High Energy Phys. 2019;6(2):54-60. doi: 10.11648/j.ijhep.20190602.14

Copy | Download

@article{10.11648/j.ijhep.20190602.14,
  author = {Teruo Kurai},
  title = {Estimation of Neutrino Masses Without Using Seesaw Mechanism},
  journal = {International Journal of High Energy Physics},
  volume = {6},
  number = {2},
  pages = {54-60},
  doi = {10.11648/j.ijhep.20190602.14},
  url = {https://doi.org/10.11648/j.ijhep.20190602.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20190602.14},
  abstract = {We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Estimation of Neutrino Masses Without Using Seesaw Mechanism
AU  - Teruo Kurai
Y1  - 2019/12/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ijhep.20190602.14
DO  - 10.11648/j.ijhep.20190602.14
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20190602.14
AB  - We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.
VL  - 6
IS  - 2
ER  -

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