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A lot of branching ratios of the exclusive $c \to d/s\ell\nu_\ell$($\ell=e,\mu$) decays have been quite accurately measured by CLEO-c, BELLE,BABAR, BES(I,II,III), ALEPH and MARKIII collaborations. We probe the R-parityviolating supersymmetric effects in the exclusive $c \to d/s\ell\nu_\ell$decays. From the latest experimental measurements, we obtain new upper limitson the relevant R-parity violating coupling parameters within the decays, andmany upper limits are obtained for the first time. Using the constrained newparameter spaces, we predict the R-parity violating effects on the observables,which have not been measured or have not been well measured yet. We find thatthe R-parity violating effects due to slepton exchange could be large on thebranching ratios of $D_{d/s}\to e\nu_e$ decays and the normalizedforward-backward asymmetries of $D_{u/d}\to \pi/K \ell\nu_\ell$ as well as$D_s\to K \ell\nu_\ell$ decays, and all branching ratios of the relevantsemileptonic $D$ decays are sensitive to squark exchange couplings. Our resultsin this work could be used to probe new physics effects in the leptonic decaysas well as the semileptonic decays, and will correlate with searches for directsupersymmetric signals at LHC and BESIII.

Probing the R-parity violating supersymmetric effects in the exclusive $c\to d/s\ell\nu_\ell$ decays