A Phenomenological Study of WIMP Models: Scalar Sector, Gauge Sector, and More

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15 Feb 2025

Acknowledgements

1 Introduction to thesis

1.1 History and Evidence

1.2 Facts on dark matter

1.3 Candidates to dark matter

1.4 Dark matter detection

1.5 Outline of the thesis

2 Dark matter through ALP portal and 2.1 Introduction

2.2 Model

2.3 Existing constraints on ALP parameter space

2.4 Dark matter analysis

2.5 Summary

3 A two component dark matter model in a generic 𝑈(1)𝑋 extension of SM and 3.1 Introduction

3.2 Model

3.3 Theoretical and experimental constraints

3.4 Phenomenology of dark matter

3.5 Relic density dependence on 𝑈(1)𝑋 charge 𝑥𝐻

3.6 Summary

4 A pseudo-scalar dark matter case in 𝑈(1)𝑋 extension of SM and 4.1 Introduction

4.2 Model

4.3 Theoretical and experimental constraints

4.4 Dark Matter analysis

4.5 Summary

5 Summary

Appendices

A Standard model

B Friedmann equations

C Type I seasaw mechanism

D Feynman diagrams in two-component DM model

Bibliography

3.2 Model

In the next subsections, we discuss various parts of the lagrangian of the model,

3.2.1 Scalar Sector

where 𝛼 is the mixing angle. The rotation matrix satisfies

The real and imaginary components of 𝜒 have the following masses

3.2.2 Gauge sector

To determine the gauge boson spectrum, we have to expand the scalar kinetic terms and replace

3.2.3 Yukawa sector

The Yukawa sector of the model can be written in a gauge-invariant way as

This paper is available on arxiv under CC BY 4.0 DEED license.

Author:

(1) Shivam Gola, The Institute of Mathematical Sciences, Chennai.