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We calculate the form factors of the electromagneticnucleon-to-$\Delta$-resonance transition to third chiral order in manifestlyLorentz-invariant chiral effective field theory. For the purpose of generatinga systematic power counting, the complex-mass scheme is applied in combinationwith the small-scale expansion. We fit the results to available empirical data.

Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme