In this paper, with the form factors calculated in the relativistic quark model, B_s → \(D_{s}^{*} \tau \bar {\nu }\) decay is studied in the aligned two-Higgs-doublet model (A2HDM) and vector leptoquark model. Using the parameter spaces obtained from flavor constraints, we calculate the branching ratio \({\mathscr{B}}(B_{s}\to D_{s}^{*} \tau \bar {\nu })\) and the integrated ratio \(R_{D_{s}^{*}}\) within the standard model (SM), A2HDM and vector leptoquark model. Moreover, we also show the effects of A2HDM and vector leptoquark model on some observables, such as the differential branching ratio \(\frac {d{\mathscr{B}}}{dq^{2}}\), the differential ratio \(R_{D_{s}^{*}}(q^{2})\), the lepton-side forward-backward asymmetry A_FB(q²), the longitudinal polarization fractions \(P_{L}^{\tau }(q^{2})\) and \(P_{L}^{D_{s}^{*}}(q^{2})\). We find, (i) the SM results of \({\mathscr{B}}(B_{s}\to D_{s}^{*} \tau \bar {\nu })\) can be enhanced about 2σ by the contributions of both A2HDM and vector leptoquark model, which can enhance the SM results of \(R_{D_{s}^{*}}\) by about 5σ and 7σ, respectively. (ii)all of these considered observables are sensitive to the A2HDM effects. However, the vector leptoquark model effects are trivial for A_FB(q²), \(P_{L}^{\tau }(q^{2})\) and \(P_{L}^{D_{s}^{*}}(q^{2})\) with the exception of other considered observables.

在本文中，利用相对论夸克模型中计算的形状因子，在对齐的双希格斯双峰模型中研究了B _s → \(D_{s}^{*} \tau \bar {\nu }\)衰变(A2HDM) 和矢量 leptoquark 模型。使用从风味约束获得的参数空间，我们计算分支比\({\mathscr{B}}(B_{s}\to D_{s}^{*} \tau \bar {\nu })\)和标准模型 (SM)、A2HDM 和矢量轻夸克模型中的积分比\(R_{D_{s}^{*}}\)。此外，我们还展示了 A2HDM 和矢量 leptoquark 模型对一些可观察量的影响，例如微分分支比\(\frac {d{\mathscr{B}}}{dq^{2}}\)，微分比\(R_{D_{s}^{*}}(q^{2})\)，轻子侧前后不对称A _{F B} ( q ² )，纵向极化分数\(P_{L}^{\tau }(q^{2})\)和\(P_{L}^{ D_{s}^{*}}(q^{2})\)。我们发现，(i) \({\mathscr{B}}(B_{s}\to D_{s}^{*} \tau \bar {\nu })\)的 SM 结果可以增强约 2 σ通过 A2HDM 和矢量 leptoquark 模型的贡献，可以分别将\(R_{D_{s}^{*}}\)的 SM 结果提高约 5 σ和 7 σ。(ii) 所有这些被考虑的可观察量都对 A2HDM 效应敏感。然而，向量 leptoquark 模型效应对于A 来说是微不足道的_{F B} ( q ² ), \(P_{L}^{\tau }(q^{2})\)和\(P_{L}^{D_{s}^{*}}(q^{2 })\)除了其他考虑的可观察对象。