Investigating the 95 GeV Higgs boson excesses within the type-I <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> <mml:mi>HDM</mml:mi> </mml:mrow> </mml:math>

In this work, we explore how the 2-Higgs doublet model (2HDM) type-I, extended by an inert doublet, can provide an explanation for the recently observed excesses at the Large Hadron Collider (LHC) in the γ γ and τ + τ − final states. Hence, by imposing theoretical constraints and experimental bounds on the model parameter space, our findings show that a light C P -even Higgs boson, h , with a mass around 95 GeV, can account for these anomalies. This result aligns with the excess in b b ¯ signatures reported in earlier data from the Large Electron-Positron (LEP) collider.