Extracting the low-energy constant L0r at three flavors from pion-kaon scattering
Abstract
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 only free low-energy constant at O(p4), known as L0r, in SU(4|1) Partially-Quenched Chiral Perturbation Theory using the data from the Extended Twisted Mass Collaboration, L0r(μ=M) = 0.77(20)(25)(7)(7)(2)· 10-3. The theory uncertainties originate from the unphysical scattering length, the physical low-energy constants, the higher-oder chiral corrections, the (lattice) meson masses and the pion decay constant, respectively
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