@Article{Baeza-Ballesteros_etal2022,
author="Baeza-Ballesteros, J.
and Hernandez, P.
and Romero-Lopez, F.",
title="A lattice study of pi pi scattering at large N-c",
journal="Journal of High Energy Physics",
year="2022",
publisher="Springer",
volume="06",
number="6",
pages="049--39pp",
optkeywords="Hadronic Spectroscopy; Structure and Interactions; Lattice QCD; 1/N Expansion; Chiral Lagrangian",
abstract="We present the first lattice study of pion-pion scattering with varying number of colors, N-c. We use lattice simulations with four degenerate quark flavors, N-f = 4, and N-c= 3 -- 6. We focus on two scattering channels that do not involve vacuum diagrams. These correspond to two irreducible representations of the SU(4) flavor group: the fully symmetric one, SS, and the fully antisymmetric one, AA. The former is a repulsive channel equivalent to the isospin-2 channel of SU(2). By contrast, the latter is attractive and only exists for N-f >= 4. A representative state is (vertical bar D-s(+) pi(+)> -- vertical bar D+ K+ >) /root 2. Using Lfischer{\textquoteright}s formalism, we extract the near-threshold scattering amplitude and we match our results to Chiral Perturbation Theory (ChPT) at large N-c. For this, we compute the analytical U(N-f) ChPT prediction for two-pion scattering, and use the lattice results to constrain the N-c scaling of the relevant low-energy couplings.",
optnote="WOS:000809342900001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5258), last updated on Thu, 23 Jun 2022 10:23:32 +0000",
issn="1029-8479",
doi="10.1007/JHEP06(2022)049",
opturl="https://arxiv.org/abs/2202.02291",
opturl="https://doi.org/10.1007/JHEP06(2022)049",
language="English"
}