Universal Bounds for SU(3) Low Energy Constants
Abstract
In this paper bounds for L_1, L_2 and L_3 are obtained in Chiral Perturbation Theory with three flavours. At the same time we test the compatibility of this theory with axiomatic principles. Following a recent paper we use dispersion relations to write positivity conditions that translate into bounds for the chiral low energy constants. As a first approach we consider the exact SU(3)_V limit and notice that if a common mass of the order of that of the kaon is adopted for the octet of pseudo-Goldstone bosons the bounds have very large O(p^6) corrections. Once the positivity conditions are adapted to account for different masses, we correct the previous bounds for a physical kaon mass and find that they tighten. We observe an overlap between the experimentally determined region and the first principles forbidden region, in the space of parameters.
Cite
@article{arxiv.0801.3627,
title = {Universal Bounds for SU(3) Low Energy Constants},
author = {V. Mateu},
journal= {arXiv preprint arXiv:0801.3627},
year = {2008}
}
Comments
6 pages, 1 figure. Two references added. Some minor changes. Published version