Observation of the Decay $D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }$

Abstract

By analyzing an $e^{+}{e}^{-}$ annihilation data sample corresponding to an integrated luminosity of $2.93{\mathrm{fb}}^{-1}$ collected at a center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the branching fraction of the $D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }$ decay for the first time. We obtain ${\mathcal{B}}_{D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }}=(1.35\pm 0.09_{\mathrm{stat}}\pm 0.09_{\mathrm{syst}})\times 10^{-3}$. Using the world average of ${\mathcal{B}}_{D^0\to {\rho }^{-}{e}^{+}{\nu }_e}$, we find a branching fraction ratio of ${\mathcal{B}}_{D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }}/{\mathcal{B}}_{D^0\to {\rho }^{-}{e}^{+}{\nu }_e}=0.90\pm 0.11$, which agrees with the theoretical expectation of lepton flavor universality within the uncertainty. Combining the world average of ${\mathcal{B}}_{D^{+}\to {\rho }^0{\mu }^{+}{\nu }_{\mu }}$ and the lifetimes of $D^{0(+)}$, we obtain a partial decay width ratio of ${\Gamma }_{D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }}/(2{\Gamma }_{D^{+}\to {\rho }^0{\mu }^{+}{\nu }_{\mu }})=0.71\pm 0.14$, which is consistent with the isospin symmetry expectation of one within $2.1\sigma$. For the reported values of ${\mathcal{B}}_{D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }}/{\mathcal{B}}_{D^0\to {\rho }^{-}{e}^{+}{\nu }_e}$ and ${\Gamma }_{D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }}/2{\Gamma }_{D^{+}\to {\rho }^0{\mu }^{+}{\nu }_{\mu }}$, the uncertainty is the quadratic sum of the statistical and systematic uncertainties.

arXiv comment9 pages, 3 figures

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