around zero in Fig. \[bm\_not\_omega\_D0\]. We find no significant signal.

$\overline{B}^o\to D^+\omega\pi^-$ Signal
-----------------------------------------

The same procedure followed for the $D^o$ final state is used for the $D^+$ final state. We show the candidate $B$ mass distribution, $M_B$, for events in the $\Delta E$ side-band on Fig. \[bm\_omega\_D+\](a). The $\Delta E$ resolution is 18 MeV ($\sigma).$ This gives a good representation of the background in the signal region. We fit this distribution with a shape given in equation \[eq:background\].

We next view the $M_B$ distribution for events having $\Delta E$ within 2$\sigma$ around zero in Fig. \[bm\_omega\_D+\](b). This distribution is fit with a Gaussian signal function of width 2.7 MeV and the background function found above whose normalization is allowed to vary. We find 91$\pm$18 events in the signal peak.

We repeat this procedure for events in the $\omega$ sidebands. We show the $M_B$ distribution for both $\Delta E$ sidebands and $\Delta E$ within 2$\sigma$ around zero in Fig. \[bm\_not\_omega\_D+\].

There is no evidence of any signal in the $\omega$ sideband plot, leading to the conclusion that the signal is associated purely with $\omega$.

Branching Fractions
-------------------

We determine the branching ratios, shown in Table \[table:Domgpievents\], by performing a Monte 