Jarlskog Determinant in Four Flavor Neutrino Oscillation Framework

Authors

  • Vivek Kumar Nautiyal Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India
  • Bipin Singh Koranga Department of Physics, Kirori Mal college (University of Delhi), Delhi-110007, India
  • Sanjay Kumar Padaliya Department of Mathematics, S.G.R.R. (P.G.) College-248001, India
  • Neelam Das Department of Physics, University of Lucknow, Lucknow-226007, India
  • Ashish Shrivastava Department of Physics, University of Lucknow, Lucknow-226007, India

DOI:

https://doi.org/10.13052/jgeu0975-1416.1022

Keywords:

CP violaton, Jarlskog determinant, PMNS Matrix

Abstract

The weak CP voilation in leptonic sector is potentially one of the key aspect
to probe the physics beyond the Standard Model (SM). This article majorly
focus on the Dirac CP phase effect on the Jarlskog Deteminant in four flavor
neutrino framework. The calculations for the upper and lower bound of the
Jarlskog Determinant in 4 × 4 neutrino four flavor mixing matrix has also
been performed.

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Author Biographies

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.

Bipin Singh Koranga, Department of Physics, Kirori Mal college (University of Delhi), Delhi-110007, India

Bipin Singh Koranga is a graduate from Kumaun University, Nainital, India.
He has been with the Theoretical Physics Group, IIT Bombay since 2006 and
received the Ph.D. degree in physics (Neutrino Masses and Mixings) from
the Indian Institute of Technology Bombay in 2007. He has been teaching
basic courses in physics and mathematical physics at the graduate level for
the last 12 years. His research interests include the origin of universe, Physics
beyond the standard model, theoretical nuclear physics, quantum mechanical
neutrino oscillation

Sanjay Kumar Padaliya, Department of Mathematics, S.G.R.R. (P.G.) College-248001, India

Sanjay Kumar Padaliya is presently Head, Department of Mathematics,
S.G.R.R. (P.G) College, Dehradun, India. He received the Ph.D. degree in
mathematics (fixed point theory) from Kumaun University, Nainital, India.
He has been teaching basic courses in mathematics at graduate and postgrad-
uate levels for the last 20 years. His present research interest includes the
fixed point theory and fuzzy analysis. He is also a life member of Indian
Mathematical Society, Ramanujan Mathematical Society, and International
Academy of Physical Sciences.

Neelam Das, Department of Physics, University of Lucknow, Lucknow-226007, India

Neelam Das is a graduate and postgraduate from Rani Durgavati Vish-
wavidyalaya, Jabalpur M.P, India. He has been in constant touch with the
nuclear physics since 2012 and pursuing her doctoral degree from Lucknow
University, Lucknow. He has more than 10 years of teaching experience in
graduation level. His research interests is in nuclear and neutrino physics.

Ashish Shrivastava, Department of Physics, University of Lucknow, Lucknow-226007, India

Ashish Shrivastava is a graduate from Kirori Mal College, Delhi University,
Delhi, India. Now he is pursuing his Master of Science from National Institute
of Technology, Agartala, India. His research interests is in neutrino physics.

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Published

2022-05-07

How to Cite

Nautiyal, V. K., Koranga, B. S., Padaliya, S. K., Das, N., & Shrivastava, A. (2022). Jarlskog Determinant in Four Flavor Neutrino Oscillation Framework. Journal of Graphic Era University, 10(2), 83–94. https://doi.org/10.13052/jgeu0975-1416.1022

Issue

2022: Vol 10 Iss 2 2022

Section

Articles