Role of the $Z$ polarization in the $H\to b\bar{b}$ measurement

It is widely known that the $ZH$ production channel provides a promising probe to the $H\to b\bar{b}$ decay at the LHC, when the Higgs and the $Z$ bosons are highly boosted along the transverse direction. We show how information on the $Z$ boson polarization – that is disregarded in the current LHC analyses – can relevantly improve the signal from background discrimination, helping us to observe and achieve a larger precision for the $H \rightarrow b\bar{b}$measurementinthe$Z(\ell\ell)H$ channel.