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Aims: To investigate the extension of the very-high-energy spectral tail ofthe Crab pulsar at energies above 400 GeV. Methods: We analyzed $\sim$320 hoursof good quality data of Crab with the MAGIC telescope, obtained from February2007 until April 2014. Results: We report the most energetic pulsed emissionever detected from the Crab pulsar reaching up to 1.5 TeV. The pulse profileshows two narrow peaks synchronized with the ones measured in the GeV energyrange. The spectra of the two peaks follow two different power-law functionsfrom 70 GeV up to 1.5 TeV and connect smoothly with the spectra measured above10 GeV by the Large Area Telescope (LAT) on board of the Fermi satellite. Whenmaking a joint fit of the LAT and MAGIC data, above 10 GeV, the photon indicesof the spectra differ by 0.5$\pm$0.1. Conclusions: We measured with the MAGICtelescopes the most energetic pulsed photons from a pulsar to date. Such TeVpulsed photons require a parent population of electrons with a Lorentz factorof at least $5\times 10^6$. These results strongly suggest IC scattering offlow energy photons as the emission mechanism and a gamma-ray production regionin the vicinity of the light cylinder.

Teraelectronvolt pulsed emission from the Crab pulsar detected by MAGIC