Absolute Measurements of Branching Fractions of Cabibbo-Suppressed Hadronic $D^{0(+)}$ Decays Involving Multiple Pions

Abstract

By analyzing $e^{+}{e}^{-}$ annihilation data with an integrated luminosity of $2.93\mathrm{f}{\mathrm{b}}^{-1}$ collected at the center-of-mass energy $\sqrt{s}=$ 3.773 GeV with the BESIII detector, we present the first absolute measurements of the branching fractions of twenty Cabibbo-suppressed hadronic $D^{0(+)}$ decays involving multiple pions. The largest four branching fractions obtained are $\mathcal{B}(D^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)=(1.343\pm 0.013_{\mathrm{stat}}\pm 0.016_{\mathrm{syst}})\%$, $\mathcal{B}(D^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}2\ddot{I}{€}^0)=(0.998\pm 0.019_{\mathrm{stat}}\pm 0.024_{\mathrm{syst}})\%$, $\mathcal{B}(D^{+}\to 2\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)=(1.174\pm 0.021_{\mathrm{stat}}\pm 0.021_{\mathrm{syst}})\%$, and $\mathcal{B}(D^{+}\to 2\ddot{I}{€}^{+}\ddot{I}{€}^{-}2\ddot{I}{€}^0)=(1.074\pm 0.040_{\mathrm{stat}}\pm 0.030_{\mathrm{syst}})\%$. The $CP$ asymmetries for the six decays with highest event yields are also determined.

19 pages, 11 figures, 5 tables