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A color octet isodoublet can have esoteric origins and it complies withminimal flavour violation. In this study, we take a scenario where the wellknown Type-X Two-Higgs doublet model is augmented with a color octetisodoublet. We shed light on how such a setup can predict the recently observedvalue for the $W$-boson mass. We also evaluate the two-loop Barr-Zeecontributions to muon $g-2$ stemming from the colored scalars. The parameterspace compatible with the observed muon $g-2$ gets relaxed w.r.t. what it is inthe pure Type-X 2HDM by virtue of the contribution from the colored scalars.The extended parameter region therefore successfully accounts for both the$W$-mass and muon $g-2$ anomalies successfully. Finally, a collider signatureleading to $\tau^+ \tau^- b \bar{b}$ final state is explored at the 14 TeV LHCusing both cut-based and multivariate techniques. Such a signal can confirm theexistence of both colorless as well colored scalars that are introduced by thisframework.

Muon $g-2$ and $W$-mass in a framework of colored scalars: an LHC perspective