LAUSR

Abstract Recent measurements on the semi-leptonic b → c l ν ¯ l and b → s l + 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 B s → D s τ ν ¯ 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 ( B s → D s τ ν ¯ ) and the ratio R D s of this decay process, and also show the effects of NP models on the differential branching fraction d B d q 2 , the differential ratio R D s ( q 2 ) , the lepton-side forward-backward asymmetry A F B ( q 2 ) , the convexity parameter C F τ ( q 2 ) and the τ polarization fraction P L τ ( q 2 ) . We find that: (i) the effects of NP models are significant for B ( B s → D s τ ν ¯ ) , but R D s is only sensitive to the effect of A2HDM; (ii) both d B d q 2 and R D s ( q 2 ) in the four NP models show obvious deviations from the SM predictions; (iii) for A F B ( q 2 ) , C F τ ( q 2 ) and P L τ ( q 2 ) , only the A2HDM presents obvious effect because the scalar type interactions can be generated in such model.