Chiral dynamics in (anti)neutrino-induced pion production off the nucleon - INSPIRE

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Chiral dynamics in (anti)neutrino-induced pion production off the nucleon

Mar 31, 2019

11 pages

Part of Proceedings, 9th International Workshop on Chiral Dynamics (CD18) : Durham (NC), United States, September 17-21, 2018, 048

Published in:

PoS CD2018 (2019) 048

Contribution to:

- CD18
, 048

Published: Mar 31, 2019 by SISSA

DOI:

10.22323/1.317.0048

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Abstract: (SISSA)

The weak pion production off the nucleon is systematically investigated at low energies in a manifestly relativistic chiral perturbation theory in the presence of

\Delta

(1232) resonances. Most of the involved low-energy constants are previously determined in other processes (or quantities) such as pion-nucleon scattering, while the rest ones are set to be of natural size. As a consequence, the total cross sections for single pion production in three different reaction channels, induced either by neutrino or antineutrino, are predicted. For the neutrino-induced case, our predictions are well consistent with the exiting experimental ANL data except for the

\nu_\mu n\to \mu^-n\pi^+

channel. That indicates higher order contributions, behaving as unitarity corrections and extra contact counterterms, are still significant for this channel. In addition, results on neutral-current weak pion production are also discussed. Our chiral representation of weak pion production can be applied to study various low-energy theorems, as well as to analyse pion photo- and electro-production.

talk
pi: production
neutrino: beam
perturbation theory: chiral
Delta(1232)
unitarity: correction
energy: low
total cross section
low-energy theorem
neutral current

References(29)

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