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arXiv · 2302.08443

Analytical dispersive parameterization for S-wave $\pi\pi$ and $\pi K$ scattering

Volodymyr Biloshytskyi·Igor Danilkin·Xiu-Lei Ren·Marc Vanderhaeghen
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Abstract

In this proceeding, we illustrate the applicability of a new parameterization of the S-wave amplitude on the example of the $\pi\pi \to \pi\pi$ and $\pi K \to \pi K $ lattice data ($m_\pi \sim 240$ MeV) from the HadSpec collaboration. The applied parameterization follows from the dispersive representation for the inverse scattering amplitude. The left-hand cut contribution is parametrized by the series in a suitably constructed conformal variable. The crucial input in the analysis is the Adler zero, whose position we extracted from the chiral perturbation theory at next-to-leading order with the uncertainties propagated from the low-energy constants.

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Volodymyr Biloshytskyi, Igor Danilkin, Xiu-Lei Ren, Marc Vanderhaeghen. 2023-02-16. Analytical dispersive parameterization for S-wave $\pi\pi$ and $\pi K$ scattering. https://arxiv.org/abs/2302.08443

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