2006/11/30 by Jiunn-Wei Chen, Donal O’Connell, Donal O'Connell +2 · 1 citation
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Diffraction #Extrapolation #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Mathematical analysis #Mathematical physics #Mathematics #Meson #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Quenched approximation #Scattering #Scattering length #Valence (chemistry) #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.75.054501
published as Phys.Rev.D75:054501,2007 · 21 pages, 2 figures, 2 tables. Version to be published in PRD. Improved discussion in Sec. III B. Added references
arxiv created 2007/02/13 · openalex publication_date 2007/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Unphysical effects associated with finite lattice spacing and partial quenching may lead to the presence of unphysical terms in chiral extrapolation formulas. These unphysical terms must then be removed during data analysis before physical predictions can be made. In this work, we show that through next-to-leading order, there are no unphysical counterterms in the extrapolation formulas, expressed in lattice-physical parameters, for meson scattering lengths in theories with Ginsparg-Wilson valence quarks. Our work applies to most sea quark discretizations, provided that chiral perturbation theory is a valid approximation. We demonstrate our results with explicit computations and show that, in favorable circumstances, the extrapolation formulas do not depend on the unknown constant CMix appearing at lowest order in the mixed action chiral Lagrangian. We show that the I=1 KK scattering length does not depend on CMix in contrast to the I=3/2 K\ensuremathπ scattering length. In addition, we show that these observables combined with fK/f_\ensuremathπ and the I=2 \ensuremathπ\ensuremathπ scattering length share only two linearly independent sets of counterterms, providing a means to test the mixed action theory at one lattice spacing. We therefore make a prediction for the I=1 KK scattering length.