<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math> mass and muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mm

The deviations of the recent measurements of the muon magnetic moment and the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>W</a:mi></a:math>-boson mass from their SM predictions hint to new physics beyond the SM. In this article, we address the observed discrepancies in the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>W</c:mi></c:math>-boson mass and muon anomalous magnetic moment in the Inert Two Higgs Doublet Model extended by a complex scalar field singlet under the SM gauge group. The model is constrained from the existing Large Electron Positron Collider (LEP) data and the measurements of partial decay widths to gauge bosons at LHC. It is shown that a large subset of the constrained parameter space of the model can accommodate both the experimentally measured as well as SM global fit value of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>W</e:mi></e:math>-boson mass while simultaneously explaining the observed muon <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>g</g:mi><g:mo>−</g:mo><g:mn>2</g:mn></g:math> anomaly. Published by the American Physical Society 2024