Using leptons $p_T$ measurements to constrain $Z^{\mathrm{\prime }}$-bosons widths in Drell-Yan processes at the LHC

We recognise the appearance of a Focus Point (FP) in the transverse momentum distribution of either leptons originating from a BSM $Z^{\mathrm{\prime }}$-boson decay, after a simple normalisation procedure. Exploring the properties of the FP we will be able to define in a general way a new observable, the Focus Point Asymmetry ($A_{\mathrm{F}\mathrm{P}}$), which can be used to set constrains on the $Z^{\mathrm{\prime }}$ width. We discuss the potential and the sensitivity of the $A_{\mathrm{F}\mathrm{P}}$ in as diagnostic tool for $Z^{\mathrm{\prime }}$ physics, considering various $Z^{\mathrm{\prime }}$ phenomenological realisations.