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:

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>γ</a:mi> <a:mi>γ</a:mi> </a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msup> <c:mi>τ</c:mi> <c:mo>+</c:mo> </c:msup> <c:msup> <c:mi>τ</c:mi> <c:mo>−</c:mo> </c:msup> </c:math> final states. Hence, by imposing theoretical constraints and experimental bounds on the model parameter space, our findings show that a light <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>C</e:mi> <e:mi>P</e:mi> </e:math> -even Higgs boson, <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>h</g:mi> </g:math> , with a mass around 95 GeV, can account for these anomalies. This result aligns with the excess in <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>b</i:mi> <i:mover accent="true"> <i:mi>b</i:mi> <i:mo stretchy="false">¯</i:mo> </i:mover> </i:math> signatures reported in earlier data from the Large Electron-Positron (LEP) collider.