Renormalizable Sectors in Resonance Chiral Theory: S -> pi pi Decay Amplitude

Abstract

We develop a resonance chiral theory without any a priori limitation on the number of derivatives in the hadronic operators. Through an exhaustive analysis of the resonance lagrangian and by means of field redefinitions, we find that the number of independent operator contributing to the S -> pi pi decay amplitude is finite: there is only one single-trace operator (the cd term) and three multi-trace terms. The deep implication of this fact is that the ultraviolet divergences that appear in this amplitude at the loop level can only appear through these chiral invariant structures. Hence, a renormalization of these couplings renders the amplitude finite.

arXiv comment4 pages

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Cited by in corpus (8)

• Chiral dynamics predictions for eta' -> eta pi pi
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• Renormalization group equations in resonance chiral theory
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance effects in pion and kaon decay constants