Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-07-09
Nucl.Phys. B508 (1997) 263-310; Erratum-ibid. B517 (1998) 639
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, uses epsf.sty, 10 figures, 52 pages
Scientific paper
10.1016/S0550-3213(97)00621-4
We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of the relevant Feynman diagrams that can all be expressed in terms of elementary functions. For the sake of clarity, we discuss these matters both in the N-component $\phi^4$ theory (in its symmetric phase) and in chiral perturbation theory. Estimates for the relevant low-energy constants of $O(p^6)$ are presented. Threshold parameters and phase shifts are then calculated for two sets of $O(p^4)$ coupling constants and compared with experiment. We comment on the extraction of threshold parameters from phase shift data.
Bijnens Johan
Colangelo Gilberto
Ecker Gerhard
Gasser Juerg
Sainio Mikko E.
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