Decays $D^+_{(s)}\to \pi(K)^{+}\ell^+\ell^-$ and D0→ℓ+ℓ- in the MSSM with and without R-parity

Abstract

We study the rare decays D+→π+ℓ+ℓ-, [Formula: see text] and D0→ℓ+ℓ-(ℓ = e, μ) in the minimal supersymmetic standard model with and without R-parity. Using the strong constraints on relevant supersymmetric parameters from [Formula: see text] mixing and [Formula: see text] decay, we examine constrained supersymmetry contributions to relevant branching ratios, direct CP violations and ratios of [Formula: see text] and [Formula: see text] decay rates. We find that both R-parity conserving LR as well as RL mass insertions and R-parity violating squark exchange couplings have huge effects on the direct CP violations of [Formula: see text], moreover, the constrained LR and RL mass insertions still have obvious effects on the ratios of [Formula: see text] and [Formula: see text] decay rates. The direct CP asymmetries and the ratios of [Formula: see text] and [Formula: see text] decay rates are very sensitive to both moduli and phases of relevant supersymmetric parameters. In addition, the differential direct CP asymmetries of [Formula: see text] are studied in detail.