Six-meson amplitude in QCD-like theories

Summary, in English

We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with n degenerate quark flavors at next-to-leading 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(2n)/SO(2n), and SU(2n)/Sp(2n). In case of the one-particle-irreducible part, we obtain analytical expressions in terms of ten six-meson 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 six-particle amplitudes at one-loop level.

• Author: Johan Bijnens; Tomáš Husek; Mattias Sjö
• Department/s: Theoretical Particle Physics - Has been reorganised
• Publishing year: 2022-09-01
• Language: English
• Publication/Series: Physical Review D
• Volume: 106
• Issue: 5
• Links: http://dx.doi.org/10.1103/PhysRevD.106.054021
• Document type: Journal article
• Publisher: American Physical Society
• Topic: Subatomic Physics
• Status: Published
• ISBN/ISSN/Other: ISSN: 2470-0010