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

Jaroslav Trnka; Jiri Novotny; Karol Kampf

arxiv: 1212.5224 · v1 · pith:4WQTFOBHnew · submitted 2012-12-20 · ✦ hep-th · hep-ph

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

Karol Kampf , Jiri Novotny , Jaroslav Trnka This is my paper

classification ✦ hep-th hep-ph

keywords amplitudesmodelon-shellnon-linearrecursionrelationssigmatree-level

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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.

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