Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-02-14
Phys.Rev. D56 (1997) 2950-2969
Physics
High Energy Physics
High Energy Physics - Lattice
50 pages, TeX, two eps figures included, minor changes, no changes in results or conclusions, version to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.56.2950
In this paper we use one-loop chiral perturbation theory in order to compare lattice computations of the K+ to pi+ pi0 decay amplitude with the experimental value. This makes it possible to investigate three systematic effects that plague lattice computations: quenching, finite-volume effects, and the fact that lattice computations have been done at unphysical values of the quark masses and pion external momenta (only this latter effect shows up at tree level). We apply our results to the most recent lattice computation, and find that all three effects are substantial. We conclude that one-loop corrections in chiral perturbation theory help in explaining the discrepancy between lattice results and the real-world value. We also revisit B_K, which is closely related to the K+ to pi+ pi0 decay amplitude by chiral symmetry.
Golterman Maarten
Leung Ka Chun
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