The Inverse Amplitude Method in $ππ$ Scattering in Chiral Perturbation Theory to Two Loops

Details The Inverse Amplitude Method in $ππ$ Scattering in Chiral Perturbation Theory to Two Loops The Inverse Amplitude Method in $ππ$ Scattering in Chiral Perturbation Theory to Two Loops

2001-09-10

arxiv.org/abs/hep-ph/0109077v1

Phys.Rev.D65:036002,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

(Latex, epsfig) 30 pages, 13 figures, 8 tables

Scientific paper

10.1103/PhysRevD.65.036002

The inverse amplitude method is used to unitarize the two loop $\pi\pi$ scattering amplitudes of SU(2) Chiral Perturbation Theory in the $I=0,J=0$, $I=1,J=1$ and $I=2,J=0$ channels. An error analysis in terms of the low energy one-loop parameters $\bar l_{1,2,3,4,}$ and existing experimental data is undertaken. A comparison to standard resonance saturation values for the two loop coefficients $\bar b_{1,2,3,4,5,6} $ is also carried out. Crossing violations are quantified and the convergence of the expansion is discussed.

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