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Intrinsic spectra of H.E.S.S. blazars : what would we see without EBL absorption

The vast majority of extragalactic sources detected in the very high energy (E> 100 GeV) domaine are active galactic nuclei (AGN) located at cosmological distances. During their travel towards Earth, the emitted gamma-rays suffer from absorption by the extragalactic background light (EBL). The density of the EBL is not very well constrained by direct or indirect measurement which leads to uncertainties on the intrinsic spectrum of the sources. High-quality AGN spectra obtained with the High Energy Stereoscopic System (H.E.S.S.) have been used to perform a model-independent measurement of the EBL spectral energy distribution. While the precision of this measurement remains limited, it reflects the sensitivity of H.E.S.S. alone to the EBL and offers the possibility to access the intrinsic spectra of AGNs in a consistent manner, taking into account the derived uncertainties on the EBL spectral energy distribution. 
In this contribution, we study the intrinsic spectra as measured by H.E.S.S. and by the Fermi Large Area Telescope (LAT) of several blazars of the H.E.S.S. sky. This provides the opportunity to have new insight into the emission processes at play in the jets of AGN. The data presented consist of monitoring data of quiescent state of blazars and also bright blazar flares, such as PKS~2155-304, Mrk~421, recorded by H.E.S.S.