| Abstract: | Using 2.93 fb$^{-1}$ of $e^{+}e^{-}$ collision data taken at a center-of-mass
energy of 3.773 GeV by the BESIII detector at the BEPCII, we measure the
branching fractions of the singly Cabibbo-suppressed decays $D o omega pi
pi$ to be $mathcal{B}(D^0 o omega pi^+pi^-) = (1.33 pm 0.16 pm
0.12) imes 10^{-3}$ and $mathcal{B}(D^+ o omega pi^+pi^0) =(3.87 pm
0.83 pm 0.25) imes 10^{-3}$, where the first uncertainties are statistical
and the second ones systematic. The statistical significances are $12.9sigma$
and $7.7 sigma$, respectively. The precision of $mathcal{B}(D^0 o omega
pi^+pi^-)$ is improved by a factor of 2.1 over the CLEO measurement, and
$mathcal{B}(D^+ o omega pi^+pi^0)$ is measured for the first time. No
significant signal of $mathcal{B}(D^0 o omega pi^0pi^0)$ is observed, and
the upper limit on the branching fraction is $mathcal{B}(D^0 o omega
pi^0pi^0) < 1.10 imes 10^{-3}$ at the $90\%$ confidence level. The
branching fractions of $D o eta pi pi$ are also measured and consistent
with existing results. |
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