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Rare charm meson decays D->Pl^+l^- and c->ul^+l^- in SM and MSSM

S. Fajfer·S. Prelovsek·P. Singer
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Abstract

We study the nine possible rare charm meson decays D->Pl^+l^- (P=pi,K,eta,eta') using the Heavy Meson Chiral Lagrangians and find them to be dominated by the long distance contributions. The decay D^+ -> pi^+l^+l^- with the branching ratio 1*10^(-6) is expected to have the best chances for an early experimental discovery. The short distance contribution in the five Cabibbo suppressed channels arises via the c->ul^+l^- transition; we find that this contribution is detectable only in the D->pi l^+l^- decay, where it dominates the differential spectrum at high-q^2. The general Minimal Supersymmetric Standard Model can enhance the c->ul^+l^- rate by up to an order of magnitude; its effect on the D->Pl^+l^- rates is small since the c->ul^+l^- enhancement is sizable in low-q^2 region, which is inhibited in the hadronic decay.

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S. Fajfer, S. Prelovsek, P. Singer. 2001-06-28. Rare charm meson decays D->Pl^+l^- and c->ul^+l^- in SM and MSSM. https://doi.org/10.1103/physrevd.64.114009

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