New determination of the N-Δ(1232) axial form factors from weak pion production and coherent pion production off nuclei at T2K and MiniBooNE energies revisited

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We re-evaluate our model predictions in Phys. Rev. D 79, 013002 (2009) for different observables in neutrino induced coherent pion production. This comes as a result of the new improved fit to old bubble chamber data of the dominant axial C₅ᵃ nucleon-to-Delta form factor. We find an increase of 20%-30% in the values for the total cross sections. Uncertainties induced by the errors in the determination of C₅ᵃ are computed. Our new results turn out to be compatible within about 1σ with the former ones. We also stress the existing tension between the recent experimental determination of the σ(CC coh π+)/σ(NC coh π⁰) ratio by the SciBooNE Collaboration and the theoretical predictions.