Chiral effective theory with a light scalar and lattice QCD

We extend the usual chiral perturbation theory framework ($χ$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective theory. We discuss the S-wave pion-pion scattering lengths, extract the average value of the two light quark masses and evaluate the impact of the dynamical singlet field in the low--energy constants $\bar{l}_1$, $\bar{l}_3$ and $\bar{l}_4$ of $χ$PT. We also show how to extract the mass and width of the sigma resonance from chiral extrapolations of lattice QCD data.

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