Applications of Partially Quenched Chiral Perturbation Theory

Details Applications of Partially Quenched Chiral Perturbation Theory Applications of Partially Quenched Chiral Perturbation Theory

1997-11-17

arxiv.org/abs/hep-lat/9711033v2

Phys.Rev.D57:5703-5710,1998

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, TeX, refs. added, minor other changes, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.57.5703

Partially quenched theories are theories in which the valence- and sea-quark masses are different. In this paper we calculate the nonanalytic one-loop corrections of some physical quantities: the chiral condensate, weak decay constants, Goldstone boson masses, B_K and the K+ to pi+ pi0 decay amplitude, using partially quenched chiral perturbation theory. Our results for weak decay constants and masses agree with, and generalize, results of previous work by Sharpe. We compare B_K and the K+ decay amplitude with their real-world values in some examples. For the latter quantity, two other systematic effects that plague lattice computations, namely, finite-volume effects and unphysical values of the quark masses and pion external momenta are also considered. We find that typical one-loop corrections can be substantial.

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