Two-loop analysis of axial vector current propagators in chiral perturbation theory

1997/10/01 by Eugene Golowich, Joachim Kambor · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.58.036004

published as Phys.Rev. D58 (1998) 036004 · 51 pages, LaTeX, 7 figures

arxiv created 1997/10/01 · openalex publication_date 1998/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform a calculation of the isospin and hypercharge axial vector current propagators [\ensuremathΔ_A3^\ensuremathμ\ensuremathν(q) and \ensuremathΔ_A8^\ensuremathμ\ensuremathν(q)] to two loops in SU(3)\ifmmode×\else\texttimes\fiSU(3) chiral perturbation theory. A large number of O(p⁶) divergent counterterms are fixed, and complete two-loop renormalized expressions for the pion and eta masses and decay constants are obtained. The calculated isospin and hypercharge axial vector polarization functions are used as input in new chiral sum rules, valid to second order in the light quark masses. Some phenomenological implications of these sum rules are considered.

Citations

• Chiral Dynamics in Nucleons and Nuclei
• Phenomenological Lagrangians

Cited by

• Axial-vector form factors for K2 and π2 at O(p6) in chiral perturbation theory
• On the two-loop contributions to the pion mass
• Two-point functions at two loops in three flavour chiral perturbation theory