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A search for the nonconservation of lepton flavor number
in the decay tau -> mu gamma
has been performed using 2.07 X 10^8
e+e- -> tau+tau- events produced at a center-of-mass energy near
10.58 GeV with the BABAR detector at the PEP-II storage ring.
We find no evidence for a signal and
set an upper limit on the branching ratio of
B (tau -> mu gamma) < 6.8 X 10^-8 at 90% confidence level.
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