| Summary: | Recent measurements on the semi-leptonic b→cℓν¯ℓ and b→sℓ+ℓ− decays imply possible hints of Lepton Flavor Universality (LFU) violation and therefore have attracted much attention. In this paper, motivated by these anomalies, we analyze the Bs→ Dsτν¯ decay in some New Physics (NP) models, such as the Supersymmetry with R-parity violation (RPV SUSY) model, the W′ model, the vector leptoquark model and the aligned two-Higgs-doublet model (A2HDM). Using the parameter spaces obtained from various flavor constraints, we calculate the branching fraction B(Bs→Dsτν¯) and the ratio RDs of this decay process, and also show the effects of NP models on the differential branching fraction dBdq2, the differential ratio RDs(q2), the lepton-side forward-backward asymmetry AFB(q2), the convexity parameter CFτ(q2) and the τ polarization fraction PLτ(q2). We find that: (i) the effects of NP models are significant for B(Bs→Dsτν¯), but RDs is only sensitive to the effect of A2HDM; (ii) both dBdq2 and RDs(q2) in the four NP models show obvious deviations from the SM predictions; (iii) for AFB(q2), CFτ(q2) and PLτ(q2), only the A2HDM presents obvious effect because the scalar type interactions can be generated in such model.
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