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We calculate the vector and axial-vector form factors of $B_{u,d,s}$ decaysinto P-wave axial-vector mesons in the light-cone sum rule approach. For thesum rule results, we have included corrections of order $m_A/m_b$, where $m_A$is the mass of the axial-vector meson $A$. The results are relevant to thelight-cone distribution amplitudes of the axial-vector mesons. It is importantto note that, owing to the $G$-parity, the chiral-even two-parton light-conedistribution amplitudes of the $^3P_1$ ($^1P_1$) mesons are symmetric(antisymmetric) under the exchange of quark and anti-quark momentum fractionsin the SU(3) limit. For chiral-odd light-cone distribution amplitudes, it isthe other way around. The predictions for decay rates of $B_{u,d,s} \to A e\nu_e$ are also presented.

Form Factors of $B_{u,d,s}$ Decays into P-Wave Axial-Vector Mesons in the Light-Cone Sum Rule Approach