Radiative three-body D-meson decays in and beyond the standard model

preprint2021arXivOpen access

Abstract

We study radiative charm decays D→P1P2γD \to P_1 P_2 γ, P1,2=π,KP_{1,2}=π,K in QCD factorization at leading order and within heavy hadron chiral perturbation theory. Branching ratios including resonance contributions are around ∼10−3\sim 10^{-3} for the Cabibbo-favored modes into KπγK πγ and ∼10−5\sim 10^{-5} for the singly Cabibbo-suppressed modes into π+π−γ,K+K−γπ^+ π^- γ, K^+ K^- γ, and thus in reach of the flavor factories BES III and Belle II. Dalitz plots and forward-backward asymmetries reveal significant differences between the two QCD frameworks; such observables are therefore ideally suited for a data-driven identification of relevant decay mechanisms in the standard-model dominated D→KπγD \to K πγ decays. This increases the potential to probe new physics with the D→π+π−γD \to π^+ π^- γ and D→K+K−γD \to K^+ K^- γ decays, which are sensitive to enhanced dipole operators. CP asymmetries are useful to test the SM and look for new physics in neutral ∣ΔC∣=1|ΔC|=1 transitions. Cuts in the Dalitz plot enhance the sensitivity to new physics due to the presence of both ss- and t,ut,u-channel intermediate resonances.

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