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Two meson systems with Ginsparg-Wilson valence quarks

Chen, Jiunn-Wei and O'Connell, Donal and Walker-Loud, André (2007) Two meson systems with Ginsparg-Wilson valence quarks. Physical Review D, 75 (5). Art. No. 054501. ISSN 2470-0010. doi:10.1103/PhysRevD.75.054501.

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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 Kpi scattering length. In addition, we show that these observables combined with fK/fpi and the I=2 pipi 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.

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Additional Information:©2007 The American Physical Society. (Received 4 December 2006; published 1 March 2007) We would like to thank Martin Savage for many useful discussions. We also thank Ruth Van deWater for her input at the start of this project. J.W.C. is supported by the National Science Council of R.O.C. D.O.C. is supported in part by the U.S. DOE under the Grant No. DE-FG03-9ER40701. A.W. L. was supported under DOE Grants No. DE-FG03-97ER-41014 and No. DE-FG02-93ER-40762.
Subject Keywords:Lattice QCD calculations
Issue or Number:5
Record Number:CaltechAUTHORS:CHEprd07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7532
Deposited By: Archive Administrator
Deposited On:01 Mar 2007
Last Modified:08 Nov 2021 20:43

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