The minimal ${U}(1)_{\rm{{B-L}}}$ 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 ${U}(1)_{\rm{{B-L}}}$ gauge boson. The emergence of a second Higgs particle as well as a new ${U}(1)_{\rm{{B-L}}}$ gauge boson, both linked to the breaking of a local ${U}(1)_{\rm{{B-L}}}$ 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 direct LHC searches, we demonstrate that the prediction for the muon ${U}(1)_{\rm{{B-L}}}$ anomaly in the B-L-SM yields at most a contribution of approximately ${U}(1)_{\rm{{B-L}}}$ , which represents a tension of ${U}(1)_{\rm{{B-L}}}$ standard deviations, with the current ${U}(1)_{\rm{{B-L}}}$ uncertainty, by means of a ${U}(1)_{\rm{{B-L}}}$ boson if its mass is in the range of ${U}(1)_{\rm{{B-L}}}$ to ${U}(1)_{\rm{{B-L}}}$ , within the reach of future LHC runs. This means that the B-L-SM, with heavy yet allowed ${U}(1)_{\rm{{B-L}}}$ boson mass range, in practice, does not resolve the tension between the observed anomaly in the muon ${U}(1)_{\rm{{B-L}}}$ and the theoretical prediction in the Standard Model. Such a heavy ${U}(1)_{\rm{{B-L}}}$ boson also implies that the minimal value for the new Higgs mass is of the order of 400 GeV.
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"value": "The minimal ${U}(1)_{\\rm{{B-L}}}$ 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 ${U}(1)_{\\rm{{B-L}}}$ gauge boson. The emergence of a second Higgs particle as well as a new ${U}(1)_{\\rm{{B-L}}}$ gauge boson, both linked to the breaking of a local ${U}(1)_{\\rm{{B-L}}}$ 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 direct LHC searches, we demonstrate that the prediction for the muon ${U}(1)_{\\rm{{B-L}}}$ anomaly in the B-L-SM yields at most a contribution of approximately ${U}(1)_{\\rm{{B-L}}}$ , which represents a tension of ${U}(1)_{\\rm{{B-L}}}$ standard deviations, with the current ${U}(1)_{\\rm{{B-L}}}$ uncertainty, by means of a ${U}(1)_{\\rm{{B-L}}}$ boson if its mass is in the range of ${U}(1)_{\\rm{{B-L}}}$ to ${U}(1)_{\\rm{{B-L}}}$ , within the reach of future LHC runs. This means that the B-L-SM, with heavy yet allowed ${U}(1)_{\\rm{{B-L}}}$ boson mass range, in practice, does not resolve the tension between the observed anomaly in the muon ${U}(1)_{\\rm{{B-L}}}$ and the theoretical prediction in the Standard Model. Such a heavy ${U}(1)_{\\rm{{B-L}}}$ boson also implies that the minimal value for the new Higgs mass is of the order of 400 GeV."
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