Jul 6 – 13, 2022
Bologna, Italy
Europe/Rome timezone

Six-meson amplitude in QCD-like theories

Jul 8, 2022, 10:00 AM
Room 7 (Gialla)

Room 7 (Gialla)

Parallel Talk Formal Theory Formal Theory


Tomáš Husek (Lund University)


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 pseudo-real representations, i.e. with global symmetry and breaking patterns $\text{SU}(n)\times\text{SU}(n)/\text{SU}(n)$ (extending the QCD case), $\text{SU}(2n)/\text{SO}(2n)$, and $\text{SU}(2n)/\text{Sp}(2n)$. In case of the one-particle-irreducible part, we obtain analytical expressions in terms of nine six-meson subamplitudes based on the flavor and group structures. We extend on our previous results [PRD 104 (2021):054046] obtained within the framework of $\text{O}(N+1)/\text{O}(N)$ non-linear 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. It also serves as a first step in comparing with lattice-QCD results on three-pion scattering.

In-person participation Yes

Primary authors

Johan Bijnens (Lund University) Tomáš Husek (Lund University) Mattias Sjö (Lund University)

Presentation materials