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The impact of the CPT-Odd electroweak gauge sector of the Standard ModelExtension on the anomalous magnetic moment of charged leptons is studied. Thisgauge sector is characterized by the $(k_1)_\mu$ and $(k_2)_\mu$ Lorentzcoefficients, which have positive mass dimension because they are associatedwith a $U_Y(1)$-invariant and with an $SU_L(2)$-invariant dimension-threeoperators, respectively. They belong to the category of relevant interactions,which have strong effects on low-energy observables. We find that thecontribution to the anomalous magnetic dipole moment of the electron can be upto fourteen orders of magnitude greater than that of the muon and up to sixteenorders greater than that of the tau. Using the experimental data for theelectron, we obtain an upper bound of $\left|k^2_1-0.79 k_1\cdot k_2 +0.27k^2_2\right|<1.31\times 10^{-19} m^2_e $. The Lorentz coefficient $(k)_{AF}$ ofthe Carroll-Field-Jackiw's QED is given by a linear combination of the$(k_1)_\mu$ and $(k_2)_\mu$ vectors. Assuming that $|k^2_1|, |k^2_2|\gg|k^2_{AF}|$ and taking $(k)_{AF}=0$, which implies that $(k_1)_\mu$ and$(k_2)_\mu$ are collinear, we obtain upper bounds of $|k_1^2|<7.2\times10^{-21}m^2_e$ and $|k_2^2|<3.2\times 10^{-19}m^2_e$.

CPT-Odd effects on magnetic dipole moments in the Standard Model Extension