Identifying light charged Higgs boson in the $\mu \nu$ channel in 2HDM Type-III

In this contribution, we discuss the light charged Higgs boson production via $pp\to \bar{t}b{H}^{\pm }$ at the Large Hadron Collider (LHC) in the Two-Higgs Doublet Model (2HDM) Type-III. We explore the prospect of looking the aforementioned Higgs boson production channel followed by $H^{\pm }\mu \nu$ signal. The latter has the potential to be overwhelmingly stronger than $H^{\pm }\tau \nu$ and $H^{\pm }c\bar{s}$ signals in Type-III. We show that in both scenarios standard and inverted hierarchy and after including several theoretical and experimental constraints, the production process $pp\to \bar{t}b{H}^{\pm }$ followed by $H^{\pm }\to \mu \nu$ could represent the most promising experimental option to search for light charged Higgs boson at the LHC.