Measurement of the branching fractions of the radiative charm decays D0→K¯*0γ and D0→ϕγ

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We present a measurement of the branching fractions for the Cabibbo-favored radiative decay ${D}^{0}\ensuremath{\rightarrow}{\overline{K}}^{*0}\ensuremath{\gamma}$ and the Cabibbo-suppressed radiative decay ${D}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\gamma}$. These measurements are based on a data sample corresponding to an integrated luminosity of $387.1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ and recorded with the BABAR detector at the PEP-II ${e}^{+}{e}^{\ensuremath{-}}$ asymmetric-energy collider operating at center-of-mass energies 10.58 and 10.54 GeV. We measure the branching fractions relative to the well-studied decay ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and find $\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{\overline{K}}^{*0}\ensuremath{\gamma})/\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})=(8.43\ifmmode\pm\else\textpm\fi{}0.51\ifmmode\pm\else\textpm\fi{}0.70)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ and $\mathcal{B}({D}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\gamma})/\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})=(7.15\ifmmode\pm\else\textpm\fi{}0.78\ifmmode\pm\else\textpm\fi{}0.69)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, where the first error is statistical and the second is systematic. This is the first observation of the decay mode ${D}^{0}\ensuremath{\rightarrow}{\overline{K}}^{*0}\ensuremath{\gamma}$.

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