Lepton Flavor Violating $l\to l^{\mathrm{\prime }}\gamma$ and $Z\to l{\bar{l}}^{\mathrm{\prime }}$ Decays Induced by Scalar Leptoquarks

Motivated by the recent muon $g-2$ data, we study the lepton flavor violating $l\to l^{\mathrm{\prime }}\gamma$ and $Z\to l{\bar{l}}^{\mathrm{\prime }}$ ($l,l^{\mathrm{\prime }}=e,\mu ,\tau$) decays with $l \neq l’$inascalarleptoquarkmodel\mathrm{.}LeptoquarkscanproducesizableLFV$l\to l’\gamma$ decay rates that can be easily reached by present or near future experiments. % Leptoquark masses and couplings are constrained by the muon $g-2$ data and the current $l\to l^{\mathrm{\prime }}\gamma$ bounds. We predict $Br(Z \to \tau^\mp e^\pm)$reachingthepresentlimit($10^{-5}$)and$Br(Z \to \mu^\mp \tau^\pm)$reaching$2\times 10^{-8}$, which will be accessible by future linear colliders, whereas, the current bounds on LFV impose very strong constraints on the $Br(Z\to {\mu }^{\mp }{e}^{\pm })$ and the ratio is too low to be observed in the near future.