Abstract
We propose a novel possibility to detect a very distinctive signal with more than four muons originating from pair-produced vector-like leptons decaying to a muon-philic ${Z}^{\ensuremath{'}}$ boson. These new particles are good candidates to explain the anomalies in the muon anomalous magnetic moment and the $b\ensuremath{\rightarrow}s\ensuremath{\ell}\ensuremath{\ell}$ processes. The doublet (singlet) vector-like leptons lighter than 1.3 (1.0) TeV are excluded by the latest data at the LHC if $\mathrm{BR}(E\ensuremath{\rightarrow}{Z}^{\ensuremath{'}}\ensuremath{\mu})=1$. We also show that the excess in the signal region with more than five leptons can be explained by this scenario if the vector-like lepton is a weak singlet, with mass about 400 GeV and $\mathrm{BR}(E\ensuremath{\rightarrow}{Z}^{\ensuremath{'}}\ensuremath{\mu})=0.25$. The future prospects at the HL-LHC are discussed.
Highlights
The Large Hadron Collider (LHC) explores new physics beyond the Standard Model (SM) at TeV-scale
An interesting coincidence here is that both anomalies are found in physics related to muons, and these could be explained by the same origin
The recent analyses [75,76,77] including the measurement of RK based on the full run-2 data at the LHCb [19]4 favor C9-only, C10-only and C9 1⁄4 −C10 scenarios among the one dimensional analyses, which correspond to gRμμ 1⁄4 gLμμ, gRμμ 1⁄4 −gLμμ and gRμμ 1⁄4 0, respectively
Summary
The Large Hadron Collider (LHC) explores new physics beyond the Standard Model (SM) at TeV-scale. One way to establish these discrepancies as evidence of new physics is to increase the significance by reducing the uncertainties in the experimental measurements and in the predictions of the SM. Another way is by directly discovering new particles at the LHC, which we pursue in this paper. We shall discuss the current limits from the recent ATLAS data [69] and future prospects at the HL-LHC in a simplified model with a VL lepton and Z0 boson. The model proposed in Refs. [43,44] are reviewed in the Appendix as a UV completion of the simplified model
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