Sixmeson amplitude in QCDlike theories
Abstract
We calculate the relativistic sixmeson scattering amplitude at low energy within the framework of QCDlike theories with n degenerate quark flavors at nexttoleading order in the chiral counting. We discuss the cases of complex, real and pseudoreal representations, i.e. with global symmetry and breaking patterns SU (n )×SU (n )/SU (n ) (extending the QCD case), SU (2 n )/SO (2 n ), and SU (2 n )/Sp (2 n ). In case of the oneparticleirreducible part, we obtain analytical expressions in terms of ten sixmeson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the O (N +1 )/O (N ) nonlinear sigma model, with N being the number of meson flavors. This work allows for studying a number of properties of sixparticle amplitudes at oneloop level.
 Publication:

Physical Review D
 Pub Date:
 September 2022
 DOI:
 10.1103/PhysRevD.106.054021
 arXiv:
 arXiv:2206.14212
 Bibcode:
 2022PhRvD.106e4021B
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 19 pages, 9 figures, 1 table