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We study the reaction of pion photoproduction on the nucleon in the frameworkof chiral perturbation theory with explicit $\Delta(1232)$ degrees of freedom.In the covariant approach, we give results up to order $\epsilon^3$ in thesmall scale expansion scheme. Furthermore, we provide $\Delta$-less and$\Delta$-full results obtained in the heavy-baryon scheme to analyze thedifferences to the covariant approach. Low energy constants are fitted tomultipole amplitudes using theoretical truncation errors estimated by aBayesian approach. We also compare our findings to data of neutral pionproduction cross sections and polarization asymmetries. The description of thereaction is clearly improved by the explicit treatment of the $\Delta(1232)$resonance.

Pion photoproduction in chiral perturbation theory with explicit treatment of the $\Delta(1232)$ resonance