Test of space–time noncommutativity at the future circular collider

The Future Circular Collider (FCC) is a crucial step forward to study new physics beyond the standard model and to test fundamental aspects as space–time minimal length and Lorentz violations. As an example, a possible enhancement of e+e− pair production due to noncommutative effects, catalyzed by the huge magnetic field produced at the beginning of a heavy-ion collision at FCC, is discussed. In noncommutative electrodynamics, a free photon in the magnetic background can produce a e+e− pair. In particular, for hard photons with transverse energy 100–600 GeV at the beginning of the collision and for a particular kinematical setting of the pair, i.e. large total transverse momentum in the reaction plane and invariant mass in the range 200–400 MeV, the noncommutative contribution, evaluated with the present bound of the noncommutativity fundamental area, can be significant. Other, more exotic, possible signatures of space–time noncommutativity are also considered.