Friday, December 21, 2012

1212.5224 (Karol Kampf et al.)

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

Karol Kampf, Jiri Novotny, Jaroslav Trnka
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.
View original: http://arxiv.org/abs/1212.5224

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