Excess electronic recoil events in XENON1T

We report results from searches for new physics with low-energy electronic recoil data recorded with the XENON1T detector. With an exposure of 0.65 t-y and an unprecedentedly low background rate of $76\pm2$ events/(t y keV) between 1 and 30 keV, the data enables sensitive searches for solar axions, an enhanced neutrino magnetic moment, and bosonic dark matter. An excess over known backgrounds is observed at low energies and most prominent between 2 and 3 keV. The solar axion model has a 3.4$\sigma$ significance, and a 3D 90% confidence surface is reported for axion couplings to electrons, photons, and nucleons. This surface is inscribed in the cuboid defined by $g_{ae}
Comment: 26 pages, 15 figures. v2 added Ar37 background discussion and best-fit mass of bosonic dark matter, v3 updated Ar37 discussion, tritium estimation, and solar axion energy spectrum. Data in Fig. 2, 4, and 15, including unbinned energy points in Fig. 4, are available in 10.5281/zenodo.4088778