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The long-standing anomaly in the anomalous magnetic moment of the muonindicates the presence of chirality violating new physics contributions. Apossible solution involves scalar leptoquarks with left- and right-handedcouplings to the top quark. Two such representations of scalar leptoquarksexist for which the contribution to $(g-2)_\mu$ can possess an $m_t/m_\mu$enhancement compared to the Standard Model. The leptoquarks also induce loopcorrections to $Z$ couplings to muons which probe as well new physicscontributions which possess sources of $SU(2)$ symmetry breaking and we findthat this effect should be observable at future experiments as GigaZ or TLEP.Furthermore, once interactions of the leptoquark with tau leptons and electronsare present, additional correlated effects in anomalous magnetic moments,$Z\to\ell\ell^\prime$ and $\ell\to\ell^\prime\gamma$ arise, which can be usedto test the model and to determine the flavour structure of the couplings. Wefind that the two representations of leptoquarks can be distinguished also fromlow energy experiments: one representation predicts constructive interferencewith the Standard Model in $Z$ couplings to leptons and effects in $B\toK^{(\star)}\nu\bar\nu$, while the other representation interferes destructivelywith the Standard Model in $Z$ couplings to leptons and gives a$C_9=C_{10}$-like contribution to $b\to s\ell^+\ell^-$ processes.

$(g-2)_\mu$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects