This analysis computes subthreshold parameters using recent data and lattice QCD, indicating dependence on scattering length correlation.
Using the most recent experimental data and lattice QCD calculations of $ππ$ scattering lengths, while employing dispersive representations of the amplitude based on Roy equations, we compute the subthreshold parameters of this process. We use Monte Carlo sampling to numerically model the probability distribution of the results based on all uncertainties in the inputs. We also investigate the dependence of the results on a theoretical correlation between the $ππ$ scattering lengths a⁰₀ and a²₀, which was previously established in the framework of two-flavour chiral perturbation theory.
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Kolesár et al. (2025) studied this question.
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