Matrix elements of twist-2 operators in quenched chiral perturbation theory

2001/08/31 by Jiunn-Wei Chen, Martin J. Savage
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1016/s0375-9474(02)00994-6

published as Nucl.Phys. A707 (2002) 452-468 · 16 pages, 5 eps figs., latex

arxiv created 2002/06/17 · openalex publication_date 2002/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the leading non-analytic quark mass dependence of the matrix elements of isovector twist-2 operators between octet baryon states in quenched QCD using quenched chiral perturbation theory. There are contributions of the form m_q log m_q, in analogy with QCD, but there are also contributions of the form log m_q from hairpin interactions. The nucleon does not receive such hairpin contributions.

Citations

• Chiral perturbation theory for the quenched approximation of QCD
• SU(3)symmetry breaking in hyperon semileptonic decays