by constraining their invariant mass to that of the $\pi^o$.

We select $D^o$ and $D^+$ candidates via the decay modes shown in Table \[table:massres\]. We require that the invariant mass of the $D$ candidates lie within $\pm 2.5\sigma$ of the known $D$ masses. The $\sigma$’s are also listed in Table \[table:massres\]. The $D^o$ widths vary with the $D^o$ momentum, $p$, (units of MeV).

We select $D^{*+}$ candidates by imposing the addition requirement that the mass difference between $\pi^+ D^o$ and $D^o$ combinations is within $\pm 2.5\sigma$ of the known mass difference. For the $D^{*o}$, we use the same requirement for the $\pi^o D^o$ decay. The mass difference resolutions are 0.63 and 0.90 MeV, for the $\pi^+D^o$ and $\pi^o D^o$ modes, respectively[@Differences]

  ------------------------ ----------------------------------- ------------------------------------ -----------------------------------
   $D^+\to K^-\pi^+\pi^+$           $D^o\to K^-\pi^+$                 $D^o\to K^-\pi^+\pi^o$            $D^o\to K^-\pi^+\pi^+\pi^-$
            6.0             $p\times$0.93$\times 10^{-3}$+6.0   $p\times$0.68$\times 10^{-3}$+11.6   $p\times$0.92$\times 10^{-3}$+4.7
  ------------------------ ----------------------------------- ------------------------------------ -----------------------------------

  : Mass Resolutions ($\sigma$) in MeV[]{data-label="table:massres"}

Observation of $\overline{B}^o\to D^{*+}\pi^+\pi^-\pi^-
\pi^o$ Decays {#sec:Dstarp4pi}
=======================================================

$B$ Candidate Selection
-----------------------

We start by investigating the $D^{*+}(4\pi)^-$ final state.[^4] The $D^{*+}$ candidates are combined with all combinations of $\pi^+\pi^-\pi^-\pi^o$ mesons.

Next, we calculate the difference between the beam energy, $E_{beam}$, and the measured energy of the five particles, $\Delta 