Two meson systems with Ginsparg-Wilson valence quarks
- Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan (China)
- California Institute of Technology, Pasadena, California 91125 (United States)
- Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)
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 C{sub Mix} appearing at lowest order in the mixed action chiral Lagrangian. We show that the I=1 KK scattering length does not depend on C{sub Mix} in contrast to the I=3/2 K{pi} scattering length. In addition, we show that these observables combined with f{sub K}/f{sub {pi}} and the I=2 {pi}{pi} 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.
- OSTI ID:
- 21020081
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 5; Other Information: DOI: 10.1103/PhysRevD.75.054501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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