Analysis of four-zero textures in the 3+1 neutrino framework

Debasish Borah, Monojit Ghosh, Shivani Gupta, Suprabh Prakash, and Sushant K. Raut
Phys. Rev. D 94, 113001 – Published 2 December 2016

Abstract

The presence of a zero texture in the neutrino mass matrix can indicate the presence of an underlying symmetry which can generate neutrino mass and mixing. In this paper, for the first time, we study the four-zero textures of the low energy neutrino mass matrix in the presence of an extra light-sterile neutrino, i.e., the 3+1 neutrino scheme. In our analysis, we find that out of the 210 possible four-zero textures only 15 textures are allowed. We divide the allowed four-zero textures into two classes—A in which the value of mass matrix element Mee is zero and class B in which Mee is nonzero. In this way, we obtain ten possible four-zero textures in class A and five possible four-zero textures in class B. In our analysis, we find that for normal hierarchy the allowed number of textures in class A (B) is nine (three). For the case of inverted hierarchy, we find that two textures in class A are disallowed, and these textures are different from the disallowed textures for normal hierarchy in class A. However, we find that all the five textures in class B are allowed for the inverted hierarchy. Based on analytic expressions for the elements Mαβ, we discuss the reasons for certain textures being disallowed. We also discuss the correlations between the different parameters of the allowed textures. Finally, we present the implications of our study on experimental searches for neutrinoless double beta decay.

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  • Received 9 August 2016

DOI:https://doi.org/10.1103/PhysRevD.94.113001

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Debasish Borah1,*, Monojit Ghosh2,3,†, Shivani Gupta4,‡, Suprabh Prakash5,§, and Sushant K. Raut6,∥

  • 1Department of Physics, Indian Institute of Technology Guwahati, Assam 781039, India
  • 2Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
  • 3Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
  • 4Center of Excellence in Particle Physics (CoEPP), University of Adelaide, Adelaide South Australia 5005, Australia
  • 5School of Physics, Sun Yat-Sen (Zhongshan) University, Guangzhou 510275, People’s Republic of China
  • 6Department of Theoretical Physics, School of Engineering Sciences, KTH Royal Institute of Technology, AlbaNova University Center, 106 91 Stockholm, Sweden

  • *dborah@iitg.ernet.in
  • monojit@tmu.ac.jp
  • shivani.gupta@adelaide.edu.au
  • §prakash3@mail.sysu.edu.cn
  • raut@kth.se

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Issue

Vol. 94, Iss. 11 — 1 December 2016

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