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The blazar Mrk 501 is among the brightest X-ray and TeV sources in the sky,and among the few sources whose spectral energy distributions can becharacterized by current instruments with relatively short observations(minutes to hours). In 2013, we organized an extensive multi-instrumentcampaign including Fermi-LAT, MAGIC, VERITAS, F-GAMMA, Swift, GASP-WEBT, andother groups and instruments which provided the most detailed temporal andenergy coverage on Mrk 501 to date. This campaign included, for the first time,observations with the Nuclear Stereoscopic Telescope Array (NuSTAR), asatellite mission launched in 2012. NuSTAR provides unprecedented sensitivityin the hard X-ray range 3-79 keV, which, together with very high energy (VHE;>100 GeV) observations, is crucial to probe the highest energy electrons in Mrk501. The campaign covered a few day long flaring activity in July 2013 whichcould be studied with strictly simultaneous NuSTAR and MAGIC observations. Alarge fraction of the MAGIC data during this activity was affected by hazyatmospheric conditions, due to a sand layer from the Saharan desert. These datawould have been removed in any standard Cherenkov Telescope data analysis.MAGIC has developed a technique to correct for adverse atmospheric conditions,making use of information from the LIDAR facility at the MAGIC site, andapplies an event-by-event correction to recover data affected by adverseweather conditions. This is the first time that LIDAR information has been usedto produce a physics result with Cherenkov Telescope data taken during adverseatmospheric conditions, and hence sets a precedent for current and futureground-based gamma-ray instruments. In this contribution we report theobservational results, focusing on the LIDAR-corrected MAGIC data and thestrictly simultaneous NuSTAR and MAGIC/VERITAS data, and discuss the scientificimplications.

First study of Mrk 501 through the eyes of NuSTAR, VERITAS and the LIDAR-corrected eyesight of MAGIC