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Applications of partially quenched chiral perturbation theory

1997/11/30 by Maarten Golterman, Ka Chun Leung · 4 citations
Mathematics · Physics and Astronomy · #Chiral perturbation theory #High-Energy Particle Collisions Research #Materials science #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Theoretical physics #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.57.5703

published as Phys.Rev.D57:5703-5710,1998 · 22 pages, TeX, refs. added, minor other changes, version to appear in Phys. Rev. D

arxiv created 1998/02/24 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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, BK, and the K+\ensuremath→\ensuremathπ+\ensuremathπ0 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 BK 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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