Extracting the low-energy constant $L_0^r$ 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 $\mathcal{O}(p^4)$, known as $L_0^r$, in SU$(4|1)$ Partially-Quenched Chiral Perturbation Theory using the data from the Extended Twisted Mass Collaboration, $L_0^r(\mu =M_{\rho })=0.77(20)(25)(7)(7)(2)\cdot 10^{-3}$. 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

6 pages, 1 figure, more details, improved uncertainty analysis

References in corpus (5)

• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Mesonic low-energy constants
• Quark disconnected diagrams in chiral perturbation theory
• Applications of Chiral Perturbation theory to lattice QCD
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering