Neutrino pion-production on a nucleon

Abstract

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order the Adler theorems, derived using PCAC, are satisfied. At next-to-leading chiral order this effective field theory goes beyond these theorems. I will show that $\chi$PT generates deviation from the PCAC predictions, which means that some neutrino-nucleon models that are used in evaluating neutrino nucleus scattering amplitudes, might need modifications.

Comments: 7 pages, 1 figure, Talk at the 9th International Workshop on Chiral Dynamics,Sept. 17-21, 2018, Duke University, Durham, NC, USA