Searching for the continuum spectrum photons correlated to the 130 GeV gamma-ray line

Indications for a gamma-ray line(s) signal toward the Galactic Center at an energy of about 130 GeV have been recently presented. While dark matter annihilations are a viable candidate for this signal, it is generally expected that such a flux would be correlated to a gamma-ray component with continuum energy spectrum due to dark matter pair annihilating into other Standard Model particles. We use the gamma-ray data from the inner 10 degrees x 10 degrees window to derive limits for a variety of dark matter annihilation final states. Extending the window of observation, we discuss bounds on the morphological shape of a dark matter signal associated to the line, applying both standard templates for the dark matter profile, such as an Einasto or a Navarro-Frenk-White profile, and introducing a new more general parametrization.