Excesses in the low-mass Higgs-boson search and the $$\varvec{W}$$-boson mass measurement

The CDF collaboration recently reported a measurement of the $W$-bosos mass, $M_W$, showing large positive deviation from Standard Model (SM) prediction. question arises whether extensions SM exist that can accommodate such values, and what further phenomenological consequences arise this. A different type has been observed experimentally in searches for light Higgs bosons. CMS two local $\sim 3\,\sigma$ excesses $\gamma\gamma$ $\tau^+\tau^-$ final states hypothetical Higgs-boson mass 95$ GeV. These are compatible with corresponding ATLAS limits. third excess was at LEP $b \bar b$ state 2\,\sigma$ confidence level about same mass. It shown three be described 2HDM extended real singlet (N2HDM) Yukawa IV, while being agreement all other theoretical experimental constraints. We demonstrate parameter space accomodates also give contribution to $M_W$ recent measurement. discuss this scenario.