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We initiate a study of non-supersymmetric Born-Infeld electrodynamics in 4dat the quantum level. Explicit all-multiplicity expressions are calculated forthe purely rational one-loop amplitudes in the self-dual ($++\ldots+$) andnext-to-self-dual ($-+\ldots+$) helicity sectors. Using a supersymmetricdecomposition, $d$-dimensional unitarity cuts of the integrand factorize intotree-amplitudes in a 4d model of Born-Infeld photons coupled to a massivecomplex scalar. The two-scalar tree-amplitudes needed to construct theBorn-Infeld integrand are computed using two complimentary approaches: (1) as adouble-copy of Yang-Mills coupled to a massive adjoint scalar with adimensionally reduced form of Chiral Perturbation Theory, and (2) by imposingconsistency with low-energy theorems under a reduction from 4d to 3d andT-duality. The Born-Infeld integrand is integrated in $d=4-2\epsilon$dimensions at order $\mathcal{O}(\epsilon^0)$ using the dimension-shiftingformalism. We comment on the implications for electromagnetic duality inquantum Born-Infeld theory.

All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity