Explaining 650 GeV and 95 GeV Anomalies in the 2-Higgs Doublet Model Type-I

We propose an interpretation of a rather significant 650 GeV excess emerged at the Large Hadron Collider (LHC) from CMS Collaboration data in the [Formula: see text] final state, accompanied by further clusters at 125(90-100) GeV in the [Formula: see text] system, within the 2-Higgs Doublet Model Type-I (2HDM-I) in presence of a softly broken [Formula: see text] symmetry. The underlying process that we probe is [Formula: see text]-initiated production of a CP-odd (or pseudoscalar) Higgs boson [Formula: see text], with mass around 650 GeV, decaying into the Standard Model (SM)-like Higgs state [Formula: see text] (decaying into [Formula: see text]) and a [Formula: see text] boson (decaying into [Formula: see text]). We configure this theoretical framework so as to also have in the spectrum a light CP-even (or scalar) Higgs state [Formula: see text] with mass around 95 GeV, which is included for the purpose of simultaneously explaining additional data anomalies seen in the [Formula: see text], [Formula: see text] and [Formula: see text] final states while searching for light Higgs states at the Large Electron-Positron (LEP) collider (the first one) and LHC (the last two). By accounting for both experimental and theoretical constraints, our results show that the 2HDM-I can explain all aforementioned anomalies at a significance level of [Formula: see text].