Measurement of the Crab Nebula Spectrum over Three Decades in Energy with the MAGIC Telescopes

The MAGIC stereoscopic system collected 69 hours of Crab Nebula data between October 2009 and April 2011. Analysis of this data sample using the latest improvements in the MAGIC stereoscopic software provided an unprecedented precision of spectral and night-by-night light curve determination at gamma rays. We derived a differential spectrum with a single instrument from 50 GeV up to almost 30 TeV with 5 bins per energy decade. In the low energies, MAGIC results, combined with the Fermi-LAT data, show a flat Inverse Compton peak. The Fermi-LAT and MAGIC spectral data were fit from 1 GeV to 30 TeV with a log-parabola, yielding a peak position at (53 $\pm$ 3) GeV with a $\chi^2_{red}$ = 82/27 (error probably underestimated due to the bad fit quality), showing that the log-parabola is not a good representation of the Inverse Compton peak of the Crab Nebula. There is no hint of the integral flux variability on daily scales at energies above 300 GeV if accounting for systematic uncertainties of the measurement. We consider two state-of-the-art theoretical models to describe the overall spectral energy distribution of the Crab Nebula. The constant B-field model cannot satisfactorily reproduce the VHE spectral measurements presented in this work, mostly troubled by the broadness of the observed IC peak. Most probably this implies that the assumption of the homogeneity of the magnetic field inside the nebula is incorrect. On the other hand, the time-dependent 1D spectral model provides a good fit of the new VHE results when considering a 80 {\mu}G magnetic field. However, it fails to match the data when including the morphology of the nebula at lower wavelengths