Hi Sebastian, yes, I was just about writing the same!!
I completely agree that it is important to keep these events in.
This is real background which will occur in data taking as well.
I actually think this might Bremsstrahlung in the detector material, beampipe or TPC gas (by Geant) with gamma->e+e- and then curling e+/-.
I suspect so because it seems to occur more often in J/Psi->e+e- (about 1/1000 events) than in J/Psi->mu+mu-
(rough estimate is ~1/10000 events or even less).
cheers, Soeren