Determination of two loop pi pi scattering amplitude parameters
Dec, 199526 pages
Published in:
- Nucl.Phys.B 471 (1996) 445-470
e-Print:
- hep-ph/9512404 [hep-ph]
Report number:
- IPNO-TH-95-64,
- PURD-TH-95-10
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Abstract:
The chiral expansion of the amplitude to the order of two loops was expressed in terms of six independent parameters in a previous paper: four of these are shown here to satisfy sum rules. Their derivation, where crossing symmetry plays a key role, is explained. Their convergence properties are studied and their practical evaluation, in terms of the available data on phase shifts above 0.5 GeV, is discussed. Below 0.5 GeV, the chiral amplitude itself is employed, such that the parameters are determined in a self-consistent way. Some care is devoted to the estimate of the errors.Note:
- Latex, 26 pages, 1 figure Report-no: IPNO/TH 95-64, PURD-TH-95-10
- pi pi: elastic scattering
- elastic scattering: pi pi
- scattering amplitude
- quantum chromodynamics
- perturbation theory: chiral
- sum rule
- dispersion relation
- partial wave analysis
- numerical calculations
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