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Multi-component Dark Matter and leptogenesis with double seesaw in an extended left-right symmetric theory

Ankita Kakoti

Abstract

Left-Right Symmetric theory has proved to be one of the most successful models in explaining the origin of neutrino mass and mixings, and the phenomenological origin of neutrinoless double beta decay, lepton flavor violation as well as leptogenesis within its regime. In the current work, left-right symmetric model has been extended with a sterile neutrino per generation, which acts as a dark matter candidate within the model. The model has been realized using $A_{4}$ modular symmetry and the primary focus of the work rests on investigating the impact of assigning different modular weights to the particle content of the model and hence study its effects on the results pertaining to relic abundance of dark matter and also leptogenesis within its framework.

Multi-component Dark Matter and leptogenesis with double seesaw in an extended left-right symmetric theory

Abstract

Left-Right Symmetric theory has proved to be one of the most successful models in explaining the origin of neutrino mass and mixings, and the phenomenological origin of neutrinoless double beta decay, lepton flavor violation as well as leptogenesis within its regime. In the current work, left-right symmetric model has been extended with a sterile neutrino per generation, which acts as a dark matter candidate within the model. The model has been realized using modular symmetry and the primary focus of the work rests on investigating the impact of assigning different modular weights to the particle content of the model and hence study its effects on the results pertaining to relic abundance of dark matter and also leptogenesis within its framework.

Paper Structure

This paper contains 13 sections, 59 equations, 18 figures, 7 tables.

Table of Contents

  1. Introduction
  2. Doublet LRSM and double seesaw mechanism
  3. Dark Matter and Leptogenesis in doublet LRSM
  4. Sterile Neutrino Dark Matter
  5. Leptogenesis in doublet LRSM
  6. $\Gamma_{3}$ modular group and different modular weights
  7. Modular weights and resulting neutrino mass matrices in doublet LRSM
  8. For weight $k_{Y}=4$
  9. For weight $k_{Y}=6$
  10. For weight $k_{Y}=8$
  11. For weight $k_{Y}=10$
  12. Numerical Analysis and Results
  13. Discussion and Conclusion

Figures (18)

  • Figure 1: Dark matter mass as a function of active-sterile mixing where the gray region shows the constraints imposed by Lyman-$\alpha$ forest and blue region depicts the X-ray constraints. for $k_{Y}=4$.
  • Figure 2: Variation of dark matter mass relic abundance where the red band denotes the oberved value of relic abundance given by, $\Omega_{DM}h^{2}=0.1200\pm 0.0012$ for $k_{Y}=4$.
  • Figure 3: Variation of dark matter mass with decay rate of the dark matter candidate for weight $k_{Y}=4$.
  • Figure 4: Dark matter mass as a function of active-sterile mixing where the gray region shows the constraints imposed by Lyman-$\alpha$ forest and blue region depicts the X-ray constraints. for $k_{Y}=8$.
  • Figure 5: Variation of dark matter mass relic abundance where the red band denotes the oberved value of relic abundance given by, $\Omega_{DM}h^{2}=0.1200\pm 0.0012$ for $k_{Y}=8$.
  • ...and 13 more figures