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By analyzing 7.33\,fb$^{-1}$ of $e^+e^-$ collision data collected atcenter-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector,we search for the semileptonic decays $D^+_s \to K_1(1270)^0 e^+\nu_e$ and$D^+_s \to b_1(1235)^0 e^+\nu_e$ for the first time. No significant signals areobserved for either decay mode. The upper limits on the (product) branchingfractions are determined to be ${\mathcal B}[D^+_s \to K_1(1270)^0 e^+\nu_e] <4.1\times 10^{-4}$ and ${\mathcal B}[D^+_s \to b_1(1235)^0 e^+\nu_e]\cdot{\mathcal B}[b_1(1235)^0\to \omega\pi^0] < 6.4\times 10^{-4}$ at 90\%confidence level.

Search for the semileptonic decays $D^+_s \to K_1(1270)^0 e^+\nu_e$ and $D^+_s \to b_1(1235)^0 e^+\nu_e$