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The minimal U(1)B-L extension of the Standard Model(B-L-SM)offers an explanation for neutrino mass generation via a seesaw mechanism;it also offers two new physics states,namely an extra Higgs boson and a new Z’ gauge boson.The emergence of a second Higgs particle as well as a new Z’ gauge boson,both linked to the breaking of a local U(l)B-L symmetry,makes the B-L-SM rather constrained by direct searches in Large Hadron Collider(LHC)experiments.We investigate the phenomenological status of the B-L-SM by confronting the new physics predictions with the LHC and electroweak precision data.Taking into account the current bounds from dir-ect LHC searches,we demonstrate that the prediction for the muon(g-2)μ anomaly in the B-L-SM yields at most a contribution of approximately 8.9 × 10-12,which represents a tension of 3.28 standard deviations,with the current 1σ uncertainty,by means of a Z’ boson if its mass is in the range of 6.3 to 6.5 TeV,within the reach of future LHC runs.This means that the B-L-SM,with heavy yet allowed Z’ boson mass range,in practice,does not resolve the tension between the observed anomaly in the muon(g-2)μ and the theoretical prediction in the Standard Model.Such a heavy Z’ boson also implies that the minimal value for the new Higgs mass is of the order of 400 GeV.