Extracting the low-energy constant $L_0^r$ at three flavors from pion-kaon scattering.
2021
Based on our analysis of the contributions from the connected and disconnected contraction diagrams to the pion-kaon scattering amplitude, we provide the first determination of the low-energy constant $L_0^r$ in SU$(4|1)$ Partially-Quenched Chiral Perturbation Theory from data of the Extended Twisted Mass Collaboration, $L_0^r = 0.51(26)\cdot 10^{-3}$ at $\mu=1$ GeV.
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