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Meson-meson Scattering in QCD-like Theories
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abstract
We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general $n$ degenerate flavours for the cases with a complex, real and pseudo-real representation. I.e. with global symmetry and breaking pattern $SU(n)_L\times SU(n)_R\to SU(n)_V$, $SU(2n)\to SO(2n)$ and $SU(2n)\to Sp(2n)$. We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering length in each channel and present some representative numerical results. We also show various relations between the different cases in the limit of large $n$.
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Cited by 1 Pith paper
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Results on meson-meson scattering at large $N_\text{c}$
Using lattice QCD with 3 to 6 colors and four quark flavors, the paper measures pion-pion scattering phase shifts and finds evidence consistent with a virtual bound state in one channel at three colors.
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