Probing the Z′ sector of the minimal B-L model at future Linear Colliders in the e+e- → μ+μ- process

We study the capabilities of future electron-positron Linear Colliders, with centre-of-mass energy at the TeV scale, in accessing the parameter space of a Z' boson within the minimal B - L model. In such a model, wherein the Standard Model gauge group is augmented by a broken U(1)(B-L) symmetry - with B(L) being the baryon(lepton) number - the emerging Z' mass is expected to be in the above energy range. We carry out a detailed comparison between the discovery regions mapped over a two-dimensional configuration space (Z' mass and coupling) at the Large Hadron Collider and possible future Linear Colliders for the case of di-muon production. As known in the literature for other Z' models, we confirm that leptonic machines, as compared to the CERN hadronic accelerator, display an additional potential in discovering a B - L Z' boson as well as in allowing one to study its properties at a level of precision well beyond that of any of the existing colliders.