Superposition of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math>-even and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi

We propose an explanation for the observed excesses around 95 GeV in the diphoton and ditau invariant mass distributions, as reported by the CMS collaboration at the Large Hadron Collider. These findings are complemented by a long-standing discrepancy in the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>b</a:mi><a:mover accent="true"><a:mi>b</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math> invariant mass at the Large Electron-Positron Collider. Additionally, the ATLAS collaboration has reported a corroborative excess in the diphoton final state within the same mass range, albeit with slightly lower significance. Our approach involves the superposition of <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 and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>C</g:mi><g:mi>P</g:mi></g:math>-odd Higgs bosons within the type-III two-Higgs doublet model to simultaneously explain these excesses at <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mrow><i:mn>1</i:mn><i:mi>σ</i:mi></i:mrow></i:math> confidence level, while remaining consistent with current theoretical and experimental constraints. Published by the American Physical Society 2024