1996/09/20 by M. R. Pennington, J. Portolés, J. Portoles · 1 citation
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.55.3082
published as Phys.Rev. D55 (1997) 3082-3091 · 23 pages, plain LaTeX file, 1 figure included as several PS files, uses epsf.sty, submitted to Phys. Rev. D
arxiv created 1996/09/20 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A way of testing the \ensuremathπ\ensuremathπ predictions of chiral perturbation theory against experimental data is to use dispersion relations to continue experimental information into the subthreshold region where the theory should unambiguously apply. Chell and Olsson have proposed a test of the subthreshold behavior of chiral expansions which highlights potential differences between the standard and the generalized forms of the theory. We illustrate how, with current experimental uncertainties, data cannot distinguish between these particular discriminatory coefficients despite their sensitivity. Nevertheless, the Chell-Olsson test does provide a consistency check of the chiral expansion, requiring that the O(p6) corrections to the discriminatory coefficients in the standard theory must be \ensuremath∼100%. Indeed, some of these have been deduced from the new O(p6) computations and found to give such large corrections. One can then check that the O(p8) corrections must be much smaller. We conclude that this test, like others, cannot distinguish between the different forms of chiral symmetry breaking embodied in the alternative versions of chiral perturbation theory without much more precise experimental information near threshold.