Model Dependent Analysis of D_((s))^+ arrows η^((')) l^+ ν_l Decays in Beyond Standard Model

Motivated by the recent experimental results of branching fractions for D_((s))^+ arrows η^((‘)) l^+ ν_l decays, which deviate from their SM predictions, we have investigated these decays in W’ model and scalar leptoquark model to find possible signatures of new physics (NP) in semileptonic charm decays induced by c arrow(s,d)l {nu}_l transitions. Using recent experimental results of branching fractions for semileptonic D meson decays, new coupling parameters are predicted for the above NP models. Branching fraction, forward-backward asymmetry and lepton polarization asymmetry are studied taking the predicted NP coupling parameters. Results of branching fractions in scalar leptoquark model are found very close to the experimental results and exist around the range 1{sigma} deviation. We have presented a comparative study of the NP models to check their sensitivity on these decays. We anticipate that further research on these decays will significantly support our findings.