INTEGRAL discovery of a burst with associated radio emission from the magnetar SGR 1935+2154.

We report on observations of the soft $\gamma$-ray repeater SGR 1935+2154 carried out with the INTEGRAL satellite between 2020 April 28 and May 3, during a period of bursting activity. Several short bursts with fluence in the range $\sim10^{-7}-10^{-6}$ erg cm$^{-2}$ were detected by the IBIS instrument in the 20-200 keV range. The burst with the hardest spectrum, discovered and localized in real time by the INTEGRAL Burst Alert System, was spatially and temporally coincident with a fast radio burst detected by the CHIME and STARE2 radio telescopes at 400-880 MHz and 1.5 GHz, respectively. The burst light curve in the 20-200 keV range shows two peaks separated by $\sim$30 ms, superimposed on a broad pulse lasting $\sim$0.4 s. The burst spectrum over 0.3 s is well fit with an exponentially cut-off power law with photon index $\Gamma=0.75\pm0.3$, e-folding energy $E_0=52^{+14}_{-8}$ keV, and 20-200 keV flux $(1.5\pm 0.1)\times10^{-6}$ erg cm$^{-2}$ s$^{-1}$. This is the first burst with a radio counterpart observed from a soft $\gamma$-ray repeater and it strongly supports the models based on magnetars that have been proposed for extragalactic fast radio bursts, despite the energy budget involved in the SGR 1935+2154 burst is a factor $\sim10^{8-9}$ smaller that that of sources at distances of hundreds of Mpc. We also estimate for SGR 1935+2154 a distance in the range $\sim$2-7 kpc, based on the analysis of an expanding dust scattering ring seen in X-rays with the {\it Neil Gehrels Swift Observatory} XRT instrument.