Study of Radiative Leptonic D Meson Decays

Abstract

We study the radiative leptonic $D$ meson decays of $D_{(s)}^{+}\to {\text{l}}^{+}{\nu }_{\text{l}}\gamma$ ($\text{l}=e,\mu ,\tau$), $D^0\to \nu \bar{\nu }\gamma$ and $D^0\to {\text{l}}^{+}{\text{l}}^{-}\gamma$ ($l=e,\mu$) within the light front quark model. In the standard model, we find that the decay branching ratios of $D_{(s)}^{+}\to e^{+}{\nu }_e\gamma$, $D_{(s)}^{+}\to {\mu }^{+}{\nu }_{\mu }\gamma$ and $D_{(s)}^{+}\to {\tau }^{+}{\nu }_{\tau }\gamma$ are $6.9\times 10^{-6}$ ($7.7\times 10^{-5}$), $2.5\times 10^{-5}$ ($2.6\times 10^{-4}$), and $6.0\times 10^{-6}$ ($3.2\times 10^{-4}$), and that of $D^0\to {\text{l}}^{+}{\text{l}}^{-}\gamma$ ($\text{l}=e,\mu$) and $D^0\to \nu \bar{\nu }\gamma$ are $6.3\times 10^{-11}$ and $2.7\times 10^{-16}$, respectively.

Comments: 23 pages, 6 Figures, LaTex file, a reference added, to be published in Mod. Phys. Lett. A