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arXiv · 1903.03542

Neutrino pion-production on a nucleon

Fred Myhrer
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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.

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Fred Myhrer. 2019-03-08. Neutrino pion-production on a nucleon. https://arxiv.org/abs/1903.03542

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