Constraints on Chiral Perturbation Theory Parameters from QCD Inequalities

Jordi Comellas; Jose I. Latorre; Josep Taron

doi:10.1016/0370-2693(95)01110-C

paper

Constraints on Chiral Perturbation Theory Parameters from QCD Inequalities

arXiv:hep-ph/9507258 · doi:10.1016/0370-2693(95)01110-C

Abstract

We explore some of the constraints imposed by positivity of the QCD measure (Weingarten's inequalities) on the parameters defining chiral perturbation theory. We find, in particular, that $2 m_{q} (μ) \leq B_{0} (μ) Z (μ)$ . The use of further properties of the exact fermion propagator yields information on some higher order parameters.

11 pages, LaTeX. Composite operator renormalization factors were missing in the original version