Scalar leptoquarks in leptonic processes

Leptoquarks are hypothetical new particles, which couple quarks directly to leptons. They experienced a renaissance in recent years as they prime candidates explain the so-called \textit{flavor anomalies}, i.e. deviations between Standard Model predictions and measurements $b\to s\ell^{+}\ell^{-}$ c\tau\nu$ processes anomalous magnetic moment of muon. At one-loop level these particles unavoidably generate effects purely leptonic like $Z\to\ell^{+}\ell^{-}$, $Z\to\nu\bar\nu$, $W\to\ell\nu$ $h\to\ell^{+}\ell^{-}$ can even non-zero rates for lepton flavor violating such $\ell\to \ell^{\prime}\gamma$, $Z\to\ell^+\ell^{\prime -}$, $h\to\ell^+\ell^{\prime -}$ 3\ell^\prime$. In this article we calculate all five representations scalar Leptoquarks. We include their most general interaction terms with Higgs boson, leads Leptoquark mixing after former acquires vacuum expectation value. our phenomenological analysis investigate modified couplings electroweak gauge bosons, study correlations muon $h\to\mu^{+}\mu^{-}$ $Z\to\mu^{+}\mu^{-}$ well interplay different decays.