# What can a heavy ${{U(1)}_{\bf B-L} \; {Z^\prime}}$ boson do to the muon ${{(g-2)}_{\mu}}$ anomaly and to a new Higgs boson mass?

• 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 $Z'$ gauge boson. The emergence of a second Higgs particle as well as a new $Z^\prime$ 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 $\left(g-2\right)_\mu$ anomaly in the B-L-SM yields at most a contribution of approximately $8.9 \times 10^{-12}$ , which represents a tension of $3.28$ standard deviations, with the current $1\sigma$ uncertainty, by means of a $Z^\prime$ boson if its mass is in the range of $6.3$ to $6.5\; {\rm{TeV}}$, within the reach of future LHC runs. This means that the B-L-SM, with heavy yet allowed $Z^\prime$ boson mass range, in practice, does not resolve the tension between the observed anomaly in the muon $\left(g-2\right)_\mu$ and the theoretical prediction in the Standard Model. Such a heavy $Z^\prime$ boson also implies that the minimal value for the new Higgs mass is of the order of 400 GeV.

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António P. Morais, Roman Pasechnik and J. Pedro Rodrigues. What can a heavy $U(1)_{B-L} \; Z^\prime$ boson do to the muon $\left(g-2\right)_\mu$ anomaly and to a new Higgs boson mass?[J]. Chinese Physics C. doi: 10.1088/1674-1137/abc16a
António P. Morais, Roman Pasechnik and J. Pedro Rodrigues. What can a heavy $U(1)_{B-L} \; Z^\prime$ boson do to the muon $\left(g-2\right)_\mu$ anomaly and to a new Higgs boson mass?[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## What can a heavy ${{U(1)}_{\bf B-L} \; {Z^\prime}}$ boson do to the muon ${{(g-2)}_{\mu}}$ anomaly and to a new Higgs boson mass?

• 1. Departamento de Física da Universidade de Aveiro and CIDMA Campus de Santiago, 3810-183 Aveiro, Portugal
• 2. Department of Astronomy and Theoretical Physics, Lund University, SE 223-62 Lund, Sweden
• 3. Nuclear Physics Institute ASCR, 25068 Řež, Czech Republic
• 4. Departamento de Física, CFM, Universidade Federal de Santa Catarina, C.P. 476, CEP 88.040-900, Florianópolis, SC, Brazil

Abstract: 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 $Z'$ gauge boson. The emergence of a second Higgs particle as well as a new $Z^\prime$ 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 $\left(g-2\right)_\mu$ anomaly in the B-L-SM yields at most a contribution of approximately $8.9 \times 10^{-12}$ , which represents a tension of $3.28$ standard deviations, with the current $1\sigma$ uncertainty, by means of a $Z^\prime$ boson if its mass is in the range of $6.3$ to $6.5\; {\rm{TeV}}$, within the reach of future LHC runs. This means that the B-L-SM, with heavy yet allowed $Z^\prime$ boson mass range, in practice, does not resolve the tension between the observed anomaly in the muon $\left(g-2\right)_\mu$ and the theoretical prediction in the Standard Model. Such a heavy $Z^\prime$ boson also implies that the minimal value for the new Higgs mass is of the order of 400 GeV.

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