Johan Bijnens
Professor, Deputy Head of Division
Pion-pion scattering at low energy
Author
Summary, in English
We present technical details of the evaluation of the elastic ππ 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 φ4 theory (in its symmetric phase) and in chiral perturbation theory. Estimates for the relevant low-energy constants of O(p6) are presented. Threshold parameters and phase shifts are then calculated for two sets of O(p4) coupling constants and compared with experiment. We comment on the extraction of threshold parameters from phase shift data.
Department/s
- Theoretical Particle Physics - Has been reorganised
Publishing year
1997-12-22
Language
English
Pages
263-310
Publication/Series
Nuclear Physics B
Volume
508
Issue
1-2
Document type
Journal article
Publisher
North-Holland
Topic
- Other Physics Topics
Keywords
- Chiral perturbation theory
- Chiral symmetry
- Pion-pion scattering
Status
Published
ISBN/ISSN/Other
- ISSN: 0550-3213