Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly

Despite the immense success of the Standard Model, the hunt for physics beyond the Standard Model has continued. Extension of the SM gauge group or the particle content of the SM remains a viable solution to many observed anomalies, such as the anomalous magnetic moment of muon, flavor violation, dark matter, etc. In this work, we consider a BSM model which includes a leptoquark, a vector-like lepton, and a real scalar singlet. The model accounts for a dark matter candidate through a $\mathbb{Z}_2$ symmetry in addition to predicting the muon $(g-2)$ in agreement with the experimental measurement. We also show that the experimental measurements of the lepton flavor violation are satisfied in a wide range of parameter space. The viable parameter space of the model is used to study the collider signatures arising from the pair production of the leptoquark in the $2\mu+2b+MET$ channel at the 14 TeV LHC run.