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The observation of anomalies in the charged current $b\rightarrowc\bar{\ell}\nu_{\ell}$ transitions hints the possibility of the existence ofnew physics beyond the standard model. Inspired by the work done in the beautyquark sector, we explore new physics in the charm quark sector with $c\rightarrow (s,d)\bar{\ell}\nu_{\ell}$ charged current transitions. We analyzethe decay modes $D_{(s)}^+ \to \eta^{(')} \bar{\ell} \nu_{\ell}$ within aneffective Lagrangian framework which includes both standard model and newphysics contributions. We use the available experimental measurements of thesemileptonic $D$ meson decays to constrain the parameter space of new physicscouplings. We then investigate the effects of new physics on four linearlyindependent observables, the branching fraction, forward-backward asymmetry,lepton polarization and convexity parameter.

Exploring New Physics in $D_{(s)}^+\rightarrow\eta^{(\prime)}\bar{\ell}\nu_{\ell}$ Decays