Light-by-light (LbyL) scattering () is a fundamental quantum-mechanical process with tiny cross sections. Studies of LbyL scattering, using the large photon fluxes from ultraperipheral PbPb collisions at sqrt(s_N) = 5.02 TeV at the LHC, will be reported based on the evidence of a signal corresponding to an integrated luminosity of 391 . The measurement can be recasted into limits on physics beyond the Standard Model, such as Born-Infeld corrections to quantum electrodynamics or GeV mass axions.