Jarlskog Determinant in Four Flavor Neutrino Oscillation Framework

  • 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 https://orcid.org/0000-0001-6801-2786
  • Neelam Das Department of Physics, University of Lucknow, Lucknow-226007, India
  • Ashish Shrivastava Department of Physics, Kirori Mal college (University of Delhi), Delhi-110007, India
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.

Downloads

Download data is not yet available.

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 postgraduate 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 Vishwavidyalaya, 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, Kirori Mal college (University of Delhi), Delhi-110007, 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.

References

Super-Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 81, 1562 (1998).

LSND Collaboration, C. Athanassopoulos et al., Phys. Rev. Lett. 81, 1774 (1998).

S.M. Bilenky, C. Giunti, W. Grimus, and T. Schwetz, Phys. Rev. D 60, 073007 (1999).

C. Jarlskog, Phys. Rev. Lett. 55, 1039 (1985).

Super-Kamiokande Collaboration, Y. Ashie et al:;Phys. Rev D 71;112005 (2005).

S. Gariazzo et al:;JHEP 1706,135 (2017).

M. Freund, P. Hunder, M. Lindner, Nucl. Phys B 615 ;331-357 (2001).

A. Cervera et al:;Nucl. Phy. B 579, 17 (2000).

W. Hampel, Phys.Lett B 447,127 (1999).

KamLAND Collaboration,Gando et al:;arXiv: 1009.4771v2.

CHOOZ Collaboration, C. Apollonio et al:; Eur. Phy. J (27,33) (2003).

MINOS Collaboration, A. Habig et al:;Mod. Phys. Lett. A25 , 1219 (2010).

S. Gariazzo et al:;J. Phys. G 43,033001(2016).

H. Fritzsch and Z.Z. Xing, Prog. Part. Nucl. Phys. 45, 1 (2000); and references therein.

V. Barger, Yuan-Ben Dai, K. Whisnant, Bing-Lin Young., Phys. Rev. D. 59, 113010 (1999).

B. S. Koranga and Guru Prakash, Int J Theor Phys 52, 22152223 (2013).

KamLAND Collaboration, J. Hosaka et al:; Phys.Rev.Lett. 94, 08180 (2005).

B. S. Koranga, Int J Theor Phys 59, 32243228 (2020).

B. S. Koranga and P. Khurana, Int J Theor Phys 53, 37373743 (2014).

K. Dick, M. Freund, M. Lindner, A. Romanino, Nucl.Phys.B 562, 29-56 (1999).

Jihn E. Kim, Se-Jin Kim, Soonkeon Nam, Myungbo Shim, arXiv:1907.12247 v3 [hep-ph] (2019).

B. S. Koranga and S. Kumar, Int J Theor Phys 52, 23432350 (2013).

S. Dev et al:;Nuclear.Phys B 491, 401 (2019).

B. S. Koranga, V. Kumar, A. Jha, Int J Theor Phys 50, 26092613 (2011).

Wan-lei Guo and Zhi-zhong Xing, arXiv:hep-ph/0112121v2 (2002).

Published
2022-05-07
Section
Emerging Trends in System & Software Reliability Modeling