Multiple-scattering production of lepton pairs in ultraperipheral heavy-ion collisions

Ultra-relativistic peripheral collisions of heavy ions at the CERN Large Hadron Collider (LHC) can produce copies of numbers of lepton pairs via the two-photon process. Since the energies of the heavy ions are so high, multipair production cross sections of the light leptons, especially electrons, are quite large so that it is possible to measure them experimentally. To calculate the multipair production probabilities, first, we should have an impact parameter dependence cross section. We have obtained a well-behaved impact parameter dependence cross section and by using the Monte Carlo methods, we have calculated multipair production cross sections of electrons and muons in Pb-Pb heavy-ion collisions at LHC energies. We have also used some experimental restrictions in our calculation to compare our findings with the experimental results.