Soft Photon Theorem in QCD with Massless Quarks

Working to all orders in dimensionally regularized QCD with massless quarks, we study the radiation of a photon whose energy is much lower than that of external partons. The conventional soft photon theorem receives corrections at leading power in the photon energy, associated with soft virtual loops of massless fermions. These additive corrections give an overall factor times the nonradiative amplitude that is infrared finite and real to all orders in α_{s}. Based on recent calculations of the three-loop soft gluon current, we identify the lowest-order three-loop correction.