Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy

Zoran Bozidar Todorovic

doi:doi:10.11648/j.ajmp.20211004.11

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Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy

Zoran Bozidar Todorovic

Published in American Journal of Modern Physics (Volume 10, Issue 4)

Received: 22 July 2021 Accepted: 2 August 2021 Published: 12 August 2021

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Abstract

There is still a problem in neutrino physics related to the configuration of neutrino masses: Are neutrinos arranged by masses following the Standard Model as three generations of fundamental particles, Gen III>Gen II>Gen I, thus forming a structural-normal hierarchy, or deviate from that principle? The biggest obstacle that is still present is the sign of the absolute value of the difference of the square of neutrino masses. It was avoided by applying the theory of neutrino oscillation probability for each structure of the neutrino mass hierarchy. With such theoretical approach the equation of motion was derived for each structure in which Dirac CP violation phase appeared as an unknown quantity. This enables direct calculation of the explicit value for the Dirac CP violation phase. Two examples were analyzed: The first example is devoted to the normal mass ordering and the second one is devoted to the inverted mass ordering. The data used for theoretical calculations presented in this paper are obtained on the basis of the latest reassessed data by processing the results of experimental measurements. On the basis of the performed calculations, normal mass ordering is unconditionally excluded as a potential option regarding the neutrino mass ordering in nature. On the basis of the derived equation of neutrino motion, a possible numerical value of the Dirac CP violation phase and Jarlskog invariant is found.

Published in	American Journal of Modern Physics (Volume 10, Issue 4)
DOI	10.11648/j.ajmp.20211004.11
Page(s)	60-70
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

Special Relativity, Leptons, Ordinary Neutrino, Neutrino Mass and Mixing, PMNS Matrix, Jarlskog Invariant, Dirac CP Phase

References

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Zoran Bozidar Todorovic. (2021). Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. American Journal of Modern Physics, 10(4), 60-70. https://doi.org/10.11648/j.ajmp.20211004.11

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ACS Style

Zoran Bozidar Todorovic. Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. Am. J. Mod. Phys. 2021, 10(4), 60-70. doi: 10.11648/j.ajmp.20211004.11

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AMA Style

Zoran Bozidar Todorovic. Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. Am J Mod Phys. 2021;10(4):60-70. doi: 10.11648/j.ajmp.20211004.11

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@article{10.11648/j.ajmp.20211004.11,
  author = {Zoran Bozidar Todorovic},
  title = {Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {4},
  pages = {60-70},
  doi = {10.11648/j.ajmp.20211004.11},
  url = {https://doi.org/10.11648/j.ajmp.20211004.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211004.11},
  abstract = {There is still a problem in neutrino physics related to the configuration of neutrino masses: Are neutrinos arranged by masses following the Standard Model as three generations of fundamental particles, Gen III>Gen II>Gen I, thus forming a structural-normal hierarchy, or deviate from that principle? The biggest obstacle that is still present is the sign of the absolute value of the difference of the square of neutrino masses. It was avoided by applying the theory of neutrino oscillation probability for each structure of the neutrino mass hierarchy. With such theoretical approach the equation of motion was derived for each structure in which Dirac CP violation phase appeared as an unknown quantity. This enables direct calculation of the explicit value for the Dirac CP violation phase. Two examples were analyzed: The first example is devoted to the normal mass ordering and the second one is devoted to the inverted mass ordering. The data used for theoretical calculations presented in this paper are obtained on the basis of the latest reassessed data by processing the results of experimental measurements. On the basis of the performed calculations, normal mass ordering is unconditionally excluded as a potential option regarding the neutrino mass ordering in nature. On the basis of the derived equation of neutrino motion, a possible numerical value of the Dirac CP violation phase and Jarlskog invariant is found.},
 year = {2021}
}

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TY  - JOUR
T1  - Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy
AU  - Zoran Bozidar Todorovic
Y1  - 2021/08/12
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211004.11
DO  - 10.11648/j.ajmp.20211004.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 60
EP  - 70
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211004.11
AB  - There is still a problem in neutrino physics related to the configuration of neutrino masses: Are neutrinos arranged by masses following the Standard Model as three generations of fundamental particles, Gen III>Gen II>Gen I, thus forming a structural-normal hierarchy, or deviate from that principle? The biggest obstacle that is still present is the sign of the absolute value of the difference of the square of neutrino masses. It was avoided by applying the theory of neutrino oscillation probability for each structure of the neutrino mass hierarchy. With such theoretical approach the equation of motion was derived for each structure in which Dirac CP violation phase appeared as an unknown quantity. This enables direct calculation of the explicit value for the Dirac CP violation phase. Two examples were analyzed: The first example is devoted to the normal mass ordering and the second one is devoted to the inverted mass ordering. The data used for theoretical calculations presented in this paper are obtained on the basis of the latest reassessed data by processing the results of experimental measurements. On the basis of the performed calculations, normal mass ordering is unconditionally excluded as a potential option regarding the neutrino mass ordering in nature. On the basis of the derived equation of neutrino motion, a possible numerical value of the Dirac CP violation phase and Jarlskog invariant is found.
VL  - 10
IS  - 4
ER  -

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Author Information

Zoran Bozidar Todorovic

Faculty of Electrical Engineering, Department of Physics, University of Belgrade, Belgrade, Serbia

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APA Style

Zoran Bozidar Todorovic. (2021). Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. American Journal of Modern Physics, 10(4), 60-70. https://doi.org/10.11648/j.ajmp.20211004.11

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ACS Style

Zoran Bozidar Todorovic. Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. Am. J. Mod. Phys. 2021, 10(4), 60-70. doi: 10.11648/j.ajmp.20211004.11

Copy | Download

AMA Style

Zoran Bozidar Todorovic. Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy. Am J Mod Phys. 2021;10(4):60-70. doi: 10.11648/j.ajmp.20211004.11

Copy | Download

@article{10.11648/j.ajmp.20211004.11,
  author = {Zoran Bozidar Todorovic},
  title = {Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {4},
  pages = {60-70},
  doi = {10.11648/j.ajmp.20211004.11},
  url = {https://doi.org/10.11648/j.ajmp.20211004.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211004.11},
  abstract = {There is still a problem in neutrino physics related to the configuration of neutrino masses: Are neutrinos arranged by masses following the Standard Model as three generations of fundamental particles, Gen III>Gen II>Gen I, thus forming a structural-normal hierarchy, or deviate from that principle? The biggest obstacle that is still present is the sign of the absolute value of the difference of the square of neutrino masses. It was avoided by applying the theory of neutrino oscillation probability for each structure of the neutrino mass hierarchy. With such theoretical approach the equation of motion was derived for each structure in which Dirac CP violation phase appeared as an unknown quantity. This enables direct calculation of the explicit value for the Dirac CP violation phase. Two examples were analyzed: The first example is devoted to the normal mass ordering and the second one is devoted to the inverted mass ordering. The data used for theoretical calculations presented in this paper are obtained on the basis of the latest reassessed data by processing the results of experimental measurements. On the basis of the performed calculations, normal mass ordering is unconditionally excluded as a potential option regarding the neutrino mass ordering in nature. On the basis of the derived equation of neutrino motion, a possible numerical value of the Dirac CP violation phase and Jarlskog invariant is found.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy
AU  - Zoran Bozidar Todorovic
Y1  - 2021/08/12
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211004.11
DO  - 10.11648/j.ajmp.20211004.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 60
EP  - 70
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211004.11
AB  - There is still a problem in neutrino physics related to the configuration of neutrino masses: Are neutrinos arranged by masses following the Standard Model as three generations of fundamental particles, Gen III>Gen II>Gen I, thus forming a structural-normal hierarchy, or deviate from that principle? The biggest obstacle that is still present is the sign of the absolute value of the difference of the square of neutrino masses. It was avoided by applying the theory of neutrino oscillation probability for each structure of the neutrino mass hierarchy. With such theoretical approach the equation of motion was derived for each structure in which Dirac CP violation phase appeared as an unknown quantity. This enables direct calculation of the explicit value for the Dirac CP violation phase. Two examples were analyzed: The first example is devoted to the normal mass ordering and the second one is devoted to the inverted mass ordering. The data used for theoretical calculations presented in this paper are obtained on the basis of the latest reassessed data by processing the results of experimental measurements. On the basis of the performed calculations, normal mass ordering is unconditionally excluded as a potential option regarding the neutrino mass ordering in nature. On the basis of the derived equation of neutrino motion, a possible numerical value of the Dirac CP violation phase and Jarlskog invariant is found.
VL  - 10
IS  - 4
ER  -

Copy | Download