Constraints on Neutrino Mass Matrix with no Majorana Phases

Hiba  Khan; Santosh Kumar  Singh; Vivek Kumar  Nautiyal

doi:10.13052/jgeu0975-1416.1025

Hiba Khan Department of Applied Sciences and Humanities, Institute of Engineering and Technology, Lucknow 226021, India https://orcid.org/0000-0002-0122-5995
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 student 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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