Polarization Measurement of Gamma-ray Bursts with Fermi-GBM: The Case of GRB 180720B

To achieve confident non-zero polarization measurements for gamma-ray bursts (GRBs) we need sensitive polarimeters and bright GRBs. Here we report on the polarimetric analysis of the bright GRB 180720B using the \Fermi Gamma-ray Burst Monitor (GBM). We rely on the detection of photons that scattered off Earth's atmosphere and into GBM from this burst. Polarized gamma-rays will exhibit a characteristic pattern when scattering off the atmosphere that differs from an unpolarized beam. We compare the measured photon counts in the GBM detectors with extensive simulations of polarized beams to derive the most probable polarization degree (PD) and angle (PA). For the entire GRB, we find PD$=72^{+24}_{-30}\% ~(1\sigma)$ and PA$=91^{+11}_{-9}$ deg ($1\sigma$, equatorial frame). Interestingly, the PA value is broadly consistent with an early optical PA measurement by the Kanata telescope, starting shortly after the end of the prompt emission. The consistency of PAs lends support for this method. The relatively high polarization degree (albeit with large uncertainties) agrees with similar past measurements suggesting that some GRBs might be highly polarized. This will be confirmed or refuted by the upcoming dedicated GRB polarimeters.