Can a resonance theory be a renormalizable theory?

Details Can a resonance theory be a renormalizable theory? Can a resonance theory be a renormalizable theory?

2007-09-21

arxiv.org/abs/0709.3363v1

AIPConf.Proc.964:47-52,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 1 figure, AIP style; to appear in the proceedings of the International Workshop on QCD, QCD @ Work 2007, Martina Fran

Scientific paper

10.1063/1.2823879

In this talk we make an exhaustive analysis of the possible chiral invariant operators that may described the resonance decay S->pi pi. These provide at the same time the only available chiral invariant structures for the loop ultraviolet divergences in this amplitude. Independently of the order in perturbation theory, we find just one single-trace term (four if multi-trace operators are allowed), whose renormalization renders the matrix element finite.

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