Constraint on Born-Infeld Theory from Light-by-Light Scattering at the LHC

The recent measurement by ATLAS of light-by-light scattering in LHC Pb- Pb collisions is the first direct evidence for this basic process. We find that it excludes a range of the mass scale of a nonlinear Born-Infeld extension of QED that is $\gtrsim$ 100 GeV. In the case of a Born-Infeld extension of the StandardModel in which the U(1)$_Y$ hypercharge gauge symmetry is realized nonlin-early, the limit on the corresponding mass reach is ∼90 GeV, which in turnimposes a lower limit of $\gtrsim$ 11 TeV on the magnetic monopole mass in such a U(1)$_Y$ Born-Infeld theory.