Measurement of Singly Cabibbo-Suppressed Decays $D to omega pi pi$

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 $D to omega pi pi$ to be $mathcal{B}(D^0 to omega pi^+pi^-) = (1.33 pm 0.16 pm 0.12)times 10^{-3}$ and $mathcal{B}(D^+ to omega pi^+pi^0) =(3.87 pm 0.83 pm 0.25)times 10^{-3}$, 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 $mathcal{B}(D^0 to omega pi^+pi^-)$ is improved by a factor of 2.1 over the CLEO measurement, and $mathcal{B}(D^+ to omega pi^+pi^0)$ is measured for the first time. No significant signal of $mathcal{B}(D^0 to omega pi^0pi^0)$ is observed, and the upper limit on the branching fraction is $mathcal{B}(D^0 to omega pi^0pi^0) < 1.10 times 10^{-3}$ at the $90%$ confidence level. The branching fractions of $Dto eta pi pi$ are also measured and consistent with existing results.