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arXiv · 2301.12858

The $I$ = 1/2 and 3/2 $K-\pi$ scattering length with domain wall fermions at physical pion mass with all-to-all propagators

Nils Asmussen·Felix Erben·Jonathan Flynn·Andreas Jüttner·Rajnandini Mukherjee·Christopher T. Sachrajda
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Abstract

We present our calculations for the $I$ = 1/2 and 3/2 $K-\pi$ s-wave scattering length with physical quark masses, extracted from the interaction energy of Euclidean two-point functions. We use the domain wall fermion action with physical quark masses at a single lattice spacing. We are specifically interested in the systematic effects due to around-the-world terms on the overall determination of the scattering length. We present our progress and discuss the various systematic effects in our preliminary results.

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Nils Asmussen, Felix Erben, Jonathan Flynn, Andreas Jüttner, Rajnandini Mukherjee, Christopher T. Sachrajda. 2023-01-30. The $I$ = 1/2 and 3/2 $K-\pi$ scattering length with domain wall fermions at physical pion mass with all-to-all propagators. https://doi.org/10.22323/1.430.0069

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