Subthreshold parameters of $\pi\pi$ scattering revisited
M. Kolesar* and J. Říha
*: corresponding author
Full text: pdf
Pre-published on: December 17, 2024
Published on: April 29, 2025
Abstract
Using the best available experimental data and lattice calculations of scattering lengths of 𝜋𝜋
scattering and employing dispersive representation 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. In the second part of the analysis, employing Bayesian inference, we use the new results
for the subthreshold parameters to obtain constraints on the leading order low energy constant 𝐵0
in the context of three-flavour chiral perturbation theory.
DOI: https://doi.org/10.22323/1.476.0807
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