Abstract
We initiate a study of non-supersymmetric Born-Infeld electrodynamics in 4d at the quantum level. Explicit all-multiplicity expressions are calculated for the purely rational one-loop amplitudes in the self-dual (+ + … +) and next-to-self-dual (− + … +) helicity sectors. Using a supersymmetric decomposition, d-dimensional unitarity cuts of the integrand factorize into tree-amplitudes in a 4d model of Born-Infeld photons coupled to a massive complex scalar. The two-scalar tree-amplitudes needed to construct the Born-Infeld integrand are computed using two complimentary approaches: (1) as a double-copy of Yang-Mills coupled to a massive adjoint scalar with a dimensionally reduced form of Chiral Perturbation Theory, and (2) by imposing consistency with low-energy theorems under a reduction from 4d to 3d and T-duality. The Born-Infeld integrand is integrated in d = 4 − 2ϵ dimensions at order \( \mathcal{O}\left({\in}^0\right) \) using the dimension-shifting formalism. We comment on the implications for electromagnetic duality in quantum Born-Infeld theory.
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Elvang, H., Hadjiantonis, M., Jones, C.R.T. et al. All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity. J. High Energ. Phys. 2020, 9 (2020). https://doi.org/10.1007/JHEP03(2020)009
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DOI: https://doi.org/10.1007/JHEP03(2020)009