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

Abstract

We study radiative charm decays $D\to P_1{P}_2\gamma$, $P_{1,2}=\pi ,K$ in QCD factorization at leading order and within heavy hadron chiral perturbation theory. Branching ratios including resonance contributions are around $\sim 10^{-3}$ for the Cabibbo-favored modes into $K\pi \gamma$ and $\sim 10^{-5}$ for the singly Cabibbo-suppressed modes into ${\pi }^{+}{\pi }^{-}\gamma ,K^{+}{K}^{-}\gamma$, 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 $D\to K\pi \gamma$ decays. This increases the potential to probe new physics with the $D\to {\pi }^{+}{\pi }^{-}\gamma$ and $D\to K^{+}{K}^{-}\gamma$ decays, which are sensitive to enhanced dipole operators. CP asymmetries are useful to test the SM and look for new physics in neutral $|\Delta C|=1$ transitions. Cuts in the Dalitz plot enhance the sensitivity to new physics due to the presence of both $s$- and $t,u$-channel intermediate resonances.

arXiv comment40 pages, 20 figures; clarifications and minor improvements; published version

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• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• Probing QCD dynamics and the standard model with $D_{(s)}\to P^{+}{P}^0\gamma$ decays
• New opportunities for rare charm from $Z\to c\bar{c}$ decays