The machine had been shut for two years for a refit. Hopes for the second run lie in breaking out of what is known as the "Standard Model" of how the universe works at the level of elementary particles, and into "New Physics".
That includes searching for the dark matter that makes up about 96 per cent of the stuff of the universe but can only be detected by its influence on visible matter like galaxies and planets.
READ ALSO: God particle — the big 5 questions
Scientists are preparing for particle-smashing collisions expected to start in June, though any new discoveries made are unlikely to emerge until mid-2016.
In this March 30, 2010 file picture the globe of the European Organization for Nuclear Research (Cern) is illuminated outside Geneva, Switzerland. (AP photo)
The overhaul included new magnets, much higher energy beams and voltages and a complete check of all wiring around the underground 27km (17-mile) LHC tunnel and its four major detectors and multiple magnets.
"It's fantastic to see it going so well after two years and such a major overhaul," Cern director general Rolf Heuer said on the research organization's live blog for the restart.
READ ALSO: Cern scientists create antihydrogen atoms
During the last run, from 2010 to 2013, physicists tracked down the legendary Higgs boson particle after years of searching in the recorded debris from particle collisions at Cern and in other smaller colliders.
Scientists working on computer models at Cern.
In two months, Cern will start smashing particles into each other in the LHC with nearly twice the energy compared with that first run from 2010-2013, and as before at close to the speed of light.
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