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A search for the non-conservation of lepton flavor
in the decay tau -> electron gamma has been performed
with 2.07 x 10^8 e+e- -> tau+ tau- events
collected by the BABAR detector at the PEP-II storage ring
at a center-of-mass energy near 10.58 GeV.
We find no evidence for a signal and
set an upper limit on the branching ratio of
BR(tau -> electron gamma) < 1.1 x 10^-7 at 90% confidence level.
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