We discuss the discovery potential of light-by-light scattering at the Large Hadron Collider (LHC), induced by the Standard Model (SM) and by new exotic charged particles. Our simulation relies on intact proton detection in the planned forward detectors of CMS and ATLAS. The full four-photon amplitudes generated by any electrically charged particles of spins 1/2 and 1, including the SM processes involving loops of leptons, quarks and W bosons are implemented in the Forward Physics Monte Carlo

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... nerator. Our method provides model-independent bounds on massive charged particles, only parametrized by the spin, mass and "effective charge" Q eff of the new particle. We find that a new charged vector (fermion) with Q eff = 4 can be discovered up to m = 700 GeV (m = 370 GeV) with an integrated luminosity of 300 fb −1 at the LHC. We also discuss the sensitivities to neutral particles such as a strongly-interacting heavy dilaton and warped Kaluza-Klein gravitons, whose effects could be discovered for masses in the multi-TeV range.