PoS - Proceedings of Science
Volume 317 - The 9th International workshop on Chiral Dynamics (CD2018) - Session: Hadron Structure
Neutrino pion-production on a nucleon
F. Myhrer
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Published on: February 28, 2020
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.
DOI: https://doi.org/10.22323/1.317.0039
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