  A dedicated reconstruction algorithm to find decay vertices in the ATLAS muon
spectrometer is presented. The algorithm searches the region just upstream of
or inside the muon spectrometer volume for multi-particle vertices that
originate from the decay of particles with long decay paths. The performance of
the algorithm is evaluated using both a sample of simulated Higgs boson events,
in which the Higgs boson decays to long-lived neutral particles that in turn
decay to bb final states, and pp collision data at sqrt(s) = 7 TeV collected
with the ATLAS detector at the LHC during 2011.
