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Gluon-gluon to photon-photon scattering $gg \to \gamma\gamma$ offers to theLHC experiments a uniquely powerful probe of dimension-8 operators in theStandard Model Effective Field Theory (SMEFT) that are quadratic in both theelectromagnetic and gluonic field-strength tensors, such as would appear in theBorn-Infeld extension of the Standard Model (SM). We use 13-TeV ATLAS data onthe production of isolated photon pairs to set lower limits on the scales ofdimension-8 operators $M \gtrsim 1$~TeV, and discuss the prospectivesensitivities of possible future hadron colliders.

Constraining Gluonic Quartic Gauge Coupling Operators with $gg \to \gamma \gamma$