Superluminous Supernovae Powered by Magnetars: Late-time Light Curves   and Hard Emission Leakage
  Recently, researches performed by two groups have revealed that the magnetar spin-down energy injection model with full energy trapping can explain the early-time light curves of SN 2010gx, SN 2013dg, LSQ12dlf, SSS120810 and CSS121015, but fails to fit the late-time light curves of these Superluminous Supernovae (SLSNe). These results imply that the original magnetar-powered model is challenged in explaining these SLSNe. Our paper aims to simultaneously explain both the early- and late-time data/upper limits by considering the leakage of hard emissions. We incorporate quantitatively the leakage effect into the original magnetar-powered model and derive a new semi-analytical equation. Comparing the light curves reproduced by our revised magnetar-powered model to the observed data and/or upper limits of these five SLSNe, we found that the late-time light curves reproduced by our semi-analytical equation are in good agreement with the late-time observed data and/or upper limits of SN 2010gx, CSS121015, SN 2013dg and LSQ12dlf and the late-time excess of SSS120810, indicating that the magnetar-powered model might be responsible for these SLSNe and that the gamma ray and X-ray leakage are unavoidable when the hard photons were down-Comptonized to softer photons. To determine the details of the leakage effect and unveil the nature of SLSNe, more high quality bolometric light curves and spectra of SLSNe are required. 
S. Q. Wang, L. J. Wang, Z. G. Dai, X. F. Wu
astro-ph.HE