Dispersive approach to chiral perturbation theory

Author(s)
Martin Zdrahal, J Novotný
Abstract

We generalize the reconstruction theorem of Stern, Sazdjian, and Fuchs based on the dispersion relations to the case of the (2→2) scattering of all the pseudoscalar octet mesons (π,K,η). We formulate it in a general way and include also a discussion of the assumptions of the theorem. It is used to obtain the amplitudes of all such processes in the isospin limit to the one-loop order (and can be straightforwardly extended to two loops) independently on the particular power-counting scheme of the chiral perturbation theory in question. The results in this general form are presented.

Organisation(s)
Particle Physics
External organisation(s)
Charles University Prague
Journal
Physical Review D
Volume
78
No. of pages
21
ISSN
1550-7998
Publication date
2008
Peer reviewed
Yes
Austrian Fields of Science 2012
1030 Physics, Astronomy
Portal url
https://ucrisportal.univie.ac.at/en/publications/a12d1f23-23f9-4846-84f4-5c571b8728f8