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

Abstract

Motivated by the recent evidence for direct CP-violation in D0 -> h+h- decays, we provide an exhaustive study of both Cabibbo-favored and Cabibbo-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=ρ,K*,ϕ, are sizeable and even dominant (over Bremsstrahlung) for the μ+μ- decay modes, bringing the branching ratios close to the LHCb reach. We also provide a detailed study of the angular asymmetries for such decays and identify signatures for new physics detection. In particular, new physics signals can be neatly isolated in asymmetries involving the semileptonic operator Q_{10}, where for typical new physics scenarios the effects can be as sizeable as O(1%) for the doubly Cabibbo-suppressed modes.

19 pages, 5 figures. v2 (journal version) contains the new subsection III.B, where the potential size of new physics effects is discussed. Tables and figures slightly changed to match the journal version. Typos corrected and references added. Conclusions unchanged

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• Measurement of the difference of CP-violating asymmetries in D0 -> K+K- and D0 ->pi+pi- decays at CDF
• Shedding light on CP violation in the charm system via D to V gamma decays
• Search for CP violation in the decay $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$

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