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Motivated by the recent evidence for direct CP-violation in D0 -> h+h-decays, we provide an exhaustive study of both Cabibbo-favored andCabibbo-suppressed (singly and doubly) D0 -> h1+h2-l+l- decays. In particular,we study the Dalitz plot for the long-distance contributions in the(m_{ll}^2,m_{hh}^2) parameter space. We find that near-resonant effects, i.e.,D0 -> V(h1+h2-)l+l- with V=\rho,K*,\phi, are sizeable and even dominant (overBremsstrahlung) for the \mu+\mu- decay modes, bringing the branching ratiosclose to the LHCb reach. We also provide a detailed study of the angularasymmetries for such decays and identify signatures for new physics detection.In particular, new physics signals can be neatly isolated in asymmetriesinvolving the semileptonic operator Q_{10}, where for typical new physicsscenarios the effects can be as sizeable as O(1%) for the doublyCabibbo-suppressed modes.

Standard Model prediction and new physics tests for D0 -> h+h-l+l- (h=\pi,K; l=e,\mu)