Scalar Leptoquark and Vectorlike Quark Extended Models as the Explanation of the Muon $$\boldsymbol{g-2}$$ Anomaly

The $$(g-2)_{\mu}$$ anomaly is a longstanding puzzle in particle physics. Leptoquark (LQ) extended models can be the solution to this anomaly due to the chiral enhancements. In minimal scalar leptoquark ( $$\textrm{LQ}^{\textrm{s}}$$ ) models, there are only two representations $$R_{2}$$ and $$S_{1}$$ which can lead to the chiral enhancements. In this talk, we study the $$\textrm{LQ}^{\textrm{s}}$$ and vectorlike quark (VLQ) extended models. Besides the traditional $$R_{2}$$ and $$S_{1}$$ related models, we find three new solutions to the anomaly in the presence of SM quark and VLQ mixings. In these $$\textrm{LQ}^{\textrm{s}}$$ and VLQ extended models, there can be new $$\textrm{LQ}^{\textrm{s}}$$ and VLQ search channels.