One pion production in neutrino reactions: including non-resonant background

Understand

We investigate neutrino induced one pion production on nucleons.

• The elementary neutrino--nucleon cross section is calculated as the sum of the leading Delta pole diagram and several background diagrams obtained within the non-linear sigma model.
• This approach does not introduce any new adjustable parameters, which allows unambiguous predictions for the observables.
• Considering electroproduction experiments as benchmark, the model is shown to be applicable up to pion-nucleon invariant mass $W<1.4\GeV$ and provides a good accuracy.