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Analysis of freeze-in scenario with a scalar Leptoquark and a scalar Dark Matter

Joydeep Roy

Abstract

Dark Matter relic density generation through \textit{freeze-in} mechanism where dark matter particles interact feebly with visible sector particles, is an alternative approach to well-studied and most popular \textit{freeze-out} paradigm. We study this \textit{freeze-in} scenario in the presence of a scalar leptoquark interacting with both dark matter and Standard Model particles with renormalizable interactions. We discuss the effect of the presence of such heavy particle, a scalar leptoquark with mass $\geq 1.5 \TeV$, in the thermal bath and subsequent relic density generation. We explore the parameter space of such framework, consisting of two masses and three dimensionless couplings. We numerically study the interaction rates and relic density as a function of these parameters and determine their values consistent with the dark matter constraints.

Analysis of freeze-in scenario with a scalar Leptoquark and a scalar Dark Matter

Abstract

Dark Matter relic density generation through \textit{freeze-in} mechanism where dark matter particles interact feebly with visible sector particles, is an alternative approach to well-studied and most popular \textit{freeze-out} paradigm. We study this \textit{freeze-in} scenario in the presence of a scalar leptoquark interacting with both dark matter and Standard Model particles with renormalizable interactions. We discuss the effect of the presence of such heavy particle, a scalar leptoquark with mass , in the thermal bath and subsequent relic density generation. We explore the parameter space of such framework, consisting of two masses and three dimensionless couplings. We numerically study the interaction rates and relic density as a function of these parameters and determine their values consistent with the dark matter constraints.
Paper Structure (10 sections, 19 equations, 8 figures)

This paper contains 10 sections, 19 equations, 8 figures.

Table of Contents

  1. Introduction
  2. Freeze-in scenario with leptoquarks
  3. The framework
  4. Relic density generation
  5. Freeze-in processes
  6. Freeze-in by $2 \rightarrow 2$ scattering of bath particles:
  7. Freeze-in by decay of bath particles:
  8. Results and discussions
  9. Conclusion
  10. Other annihilation cross sections for scalar dark matter

Figures (8)

  • Figure 2: Higgs mediated tree-level Feynman diagram for annihilation of scalar LQs to scalar dark matter, aEWSB.
  • Figure 3: Decay of Higgs to DM particles
  • Figure 4: The range of DM-LQ coupling $(\lambda_{\chi\Delta})$ needed to satisfy the freeze-in condition (Eq. \ref{['eq:LQ freeze-in condn']}), for DM and LQ mass $10 {\, \rm GeV}$ and $1.5 {\, \rm TeV}$ respectively, is shown in the above figure. Different colors represent different coupling strengths as mentioned in the figure. The horizontal dashed line corresponds to the situation where the interaction rate of singlet LQ scattering to DM particles $(\Gamma^{\rm int})$ equals the Hubble parameter $(\mathcal{H})$ ($n_{\text{e}q} \left\langle \sigma v\right\rangle = \mathcal{H}$).
  • Figure 5: The ratio of interaction rate $(\Gamma^{\rm int})$ of the singlet LQ and the Hubble parameter $(\mathcal{H})$ as a function of the temperature for different values of DM mass ($m_{\chi}$) with the DM-LQ coupling being fixed at $(\lambda_{\chi\Delta} =) 10^{-6}$.
  • Figure 6: The range of DM-Higgs coupling $(\lambda_{\chi H})$ obtained from the freeze-in condition.
  • ...and 3 more figures