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

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.