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Electron and positron beams in storage-rings self-polarize by emittingspin-flipping synchrotron radiation. If new ultralight particles couple to$e^\pm$, their emission in synchrotron-like radiation would modify thecharacteristic self-polarization time. We calculate the rate of spin-flippingsynchrotron-like radiation in several simplified models, and find that thelargest contribution is for an axial-vector. We use polarization timemeasurements from the Swiss-Light-Source, and SPEAR3 to set new strong limitson ultralight axial-vectors coupled to $e^\pm$.

Synchrotron-Like Radiation Beyond The Standard Model I: Hunting for new physics with the Sokolov-Ternov effect