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Three-zero textures of neutrino mass matrix and leptogenesis in the left-right symmetric model

Ding-Hui Xu, Zhen-hua Zhao, Tian-Rui Wang

Abstract

Within the framework of the left-right symmetric model (LRSM) and under the assumption of a diagonal Dirac neutrino mass matrix $M_{\rm D}$, this paper systematically investigates 20 types of three-zero textures in the Majorana neutrino mass matrix $M_{\rm R}$. The study reveals that only five three-zero textures of $M_{\rm R}$ satisfy the constraints of the latest NuFit 6.0 global fit results. Furthermore, we phenomenologically explore the correlations between Majorana phases $ρ$ and $σ$, as well as the relationships between the heavy neutrino mass spectrum $M_{I}~(I=1,2,3)$, ratio of Dirac matrix elements $y_{2}$, $y_{3}$ and the scale factor $r$. The results indicate strong correlations among the model parameters. In particular, the allowed regions for the Majorana CP phases are significantly restricted and depend on the specific texture of $M_{\rm R}$. On this basis, leptogenesis originating from heavy right-handed neutrino decays is investigated. Numerical results demonstrate that the $M_{\nu3}$ pattern can achieve successful leptogenesis within specific $r$ intervals for both the normal ordering (NO) and the inverted ordering (IO) of the light neutrino masses, while the $M_{\nu4}$ and $M_{\nu5}$ patterns possess viable parameter space for successful leptogenesis only in the NO case.

Three-zero textures of neutrino mass matrix and leptogenesis in the left-right symmetric model

Abstract

Within the framework of the left-right symmetric model (LRSM) and under the assumption of a diagonal Dirac neutrino mass matrix , this paper systematically investigates 20 types of three-zero textures in the Majorana neutrino mass matrix . The study reveals that only five three-zero textures of satisfy the constraints of the latest NuFit 6.0 global fit results. Furthermore, we phenomenologically explore the correlations between Majorana phases and , as well as the relationships between the heavy neutrino mass spectrum , ratio of Dirac matrix elements , and the scale factor . The results indicate strong correlations among the model parameters. In particular, the allowed regions for the Majorana CP phases are significantly restricted and depend on the specific texture of . On this basis, leptogenesis originating from heavy right-handed neutrino decays is investigated. Numerical results demonstrate that the pattern can achieve successful leptogenesis within specific intervals for both the normal ordering (NO) and the inverted ordering (IO) of the light neutrino masses, while the and patterns possess viable parameter space for successful leptogenesis only in the NO case.

Paper Structure

This paper contains 9 sections, 14 equations, 8 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Three-zero textures of $M_{\rm R}$
  3. $M_{\nu1}$ case
  4. $M_{\nu,i}$ ($i = 2,\cdot\cdot\cdot,7$) case
  5. Leptogenesis from heavy neutrino decays
  6. The CP asymmetries
  7. Some basic formulas of leptogenesis
  8. Numerical results
  9. Summary

Figures (8)

  • Figure 1: For $M_{\nu1}$ case, the dependence on $r$ of the heavy right-handed neutrino mass spectrum.
  • Figure 2: For $M_{\nu1}$ case, the relationship between the Dirac matrix element $|D_{i}|$ and $r$.
  • Figure 3: For $M_{\nu2}$, $M_{\nu3}$, $M_{\nu4}$ and $M_{\nu5}$ cases, the relationship between the Majorana phases $\rho$ and $\sigma$.
  • Figure 4: For $M_{\nu2}$, $M_{\nu3}$, $M_{\nu4}$ and $M_{\nu5}$ cases, the dependence on $r$ of the heavy right-handed neutrino mass spectrum.
  • Figure 5: The dependence of $r$ on the Yukawa coupling $|y_{2}|$ and $|y_{3}|$ in $M_{\nu2}$, $M_{\nu3}$, $M_{\nu4}$ and $M_{\nu5}$ cases.
  • ...and 3 more figures