Constraints on Neutrino Mass Matrix with no Majorana Phases

Authors

  • Hiba Khan Department of Applied Sciences and Humanities, Institute of Engineering and Technology, Lucknow 226021, India
  • Santosh Kumar Singh Department of Applied Sciences and Humanities, Institute of Engineering and Technology, Lucknow 226021, India
  • Vivek Kumar Nautiyal Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India

DOI:

https://doi.org/10.13052/jgeu0975-1416.1025

Keywords:

Neutrino mass texture, CP violation.

Abstract

In the basis where charged lepton mass matrix is real and diagonal, we have
found conditions under which there are no Majorana phases in neutrino mass
matrix. An important feature of the condition is that it has been formulated
in terms of modulus of the elements of neutrino mass matrix independent of
phases. If these conditions are satisfied, a CKM type matrix is enough to
make neutrino Majorana mass matrix real and diagonal without any need of
Majorana phases. As an application, we explore the possibility of Majorana
phases in all phenomenologically acceptable neutrino mass matrices with two
texture zeros.

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Author Biographies

Hiba Khan, Department of Applied Sciences and Humanities, Institute of Engineering and Technology, Lucknow 226021, India

Hiba Khan is a graduate from Lucknow University, India. She earned M.Sc
Degree from Integral University, Lucknow, India. She is currently PhD stu-
dent in Institute of Engineering & Technology, Lucknow a constituent college
of Dr. A. P. J. Abdul Kalam Technical University, Lucknow, Uttar Pradesh.
His research interests include the origin of universe, Physics beyond the
standard model, theoretical nuclear physics, quantum mechanical neutrino
oscillation.

Santosh Kumar Singh, Department of Applied Sciences and Humanities, Institute of Engineering and Technology, Lucknow 226021, India

Santosh Kumar Singh is a graduate from Banaras Hindu University, India.
He earned M.Sc. Degree in Physics from IIT Bombay, India. He carried
out his doctoral thesis work from Physical Research Laboratory (PRL),
Ahmedabad, India. He is currently Assistant Professor in Applied Science
Department, Institute of Engineering & Technology, Lucknow a constituent
college of Dr. A. P. J. Abdul Kalam Technical University, Lucknow, Uttar
Pradesh. His research interests include the Neutrino Physics, Physics beyond
the standard model, Elementary Particle Physics.

Vivek Kumar Nautiyal, Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India

Vivek Kumar Nautiyal is a graduate from Lucknow University, Lucknow,
India. He received the M.Tech. degree in applied optics from Indian Institute
of Technology Delhi, India in 2014. He has been in constant touch with
the nuclear and particle physics for 8 years and earned the Ph.D. degree in
physics. He has more than three years of teaching experience in graduation
and postgraduation levels. His research interests include the nuclear and
particle physics, neutrino physics.

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Published

2022-05-07

How to Cite

Khan, H., Singh, S. K., & Nautiyal, V. K. (2022). Constraints on Neutrino Mass Matrix with no Majorana Phases. Journal of Graphic Era University, 10(2), 133–154. https://doi.org/10.13052/jgeu0975-1416.1025

Issue

2022: Vol 10 Iss 2 2022

Section

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