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We study two- and three-meson systems composed either of pions or kaons atmaximal isospin using Monte Carlo simulations of lattice QCD. Utilizing thestochastic LapH method, we are able to determine hundreds of two- andthree-particle energy levels, in nine different momentum frames, with highprecision. We fit these levels using the relativistic finite-volume formalismbased on a generic effective field theory in order to determine the parametersof the two- and three-particle K-matrices. We find that the statisticalprecision of our spectra is sufficient to probe not only the dominant $s$-waveinteractions, but also those in $d$ waves. In particular, we determine for thefirst time a term in the three-particle K-matrix that contains two-particle $d$waves. We use three $N_f=2+1$ CLS ensembles with pion masses of $200$, $280$,and $340\;$MeV. This allows us to study the chiral dependence of the scatteringobservables, and compare to the expectations of chiral perturbation theory.

Interactions of two and three mesons including higher partial waves from lattice QCD