English

Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model

High Energy Physics - Theory 2013-04-10 v1 High Energy Physics - Phenomenology

Abstract

It is well-known that the standard BCFW construction cannot be used for on-shell amplitudes in effective field theories due to bad behavior for large shifts. We show how to solve this problem in the case of the SU(N) non-linear sigma model, i.e. non-renormalizable model with infinite number of interaction vertices, using scaling properties of the semi-on-shell currents, and we present new on-shell recursion relations for all on-shell tree-level amplitudes in this theory.

Keywords

Cite

@article{arxiv.1212.5224,
  title  = {Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model},
  author = {Karol Kampf and Jiri Novotny and Jaroslav Trnka},
  journal= {arXiv preprint arXiv:1212.5224},
  year   = {2013}
}

Comments

4 pages, 2 figures

R2 v1 2026-06-21T22:58:22.649Z