In the present work, the form factors of \(B_{(s)}\) to light P-wave tensor mesons (\(a_2(1320)\), \(K^*_2(1430)\), \(f_2(1270)\), \(f^\prime _2(1525)\)) are calculated via the light cone sum rules (LCSR) in the framework of heavy quark effective field theory (HQEFT). Firstly, the expressions of form factors in terms of the light cone distribution amplitudes (DAs) of tensor mesons are derived via the LCSR at the leading order of heavy quark expansion. It is found that the penguin type form factors can be obtained directly from the corresponding semileptonic ones, which is similar to the case of S-wave mesons. Considering the light tensor meson DAs to twist-3, we give the numerical results of form factors systematically. As applications, we investigate the branching ratios, longitudinal polarization fractions and forward-backward asymmetries of relevant semileptonic decays induced by charged current and flavor changing neutral current (FCNC) separately. Our results may be tested by more precise experiments in the future.

在目前的工作中，\（B _ {{s}} \）的形状因数是光P波张量介子（\（a_2（1320）\），\（K ^ * _ 2（1430）\），\（ f_2（1270）\），\（f ^ \ prime _2（1525）\））是根据重夸克有效场论（HQEFT）框架中的轻锥体和规则（LCSR）计算的。首先，通过LCSR，以重夸克膨胀的领先顺序，得出张量介子的光锥分布振幅（DAs）形式因子的表达式。可以发现，企鹅类型的形状因子可以直接从相应的半轻子形式获得，这与S波介子的情况相似。考虑到光张量介子DAs扭曲3，我们系统地给出了形状因子的数值结果。作为应用，我们分别研究了由充电电流和变味中性电流（FCNC）引起的相关半轻子衰变的分支比，纵向极化分数和前后不对称性。