Universal Bounds for SU(3) Low Energy Constants

Understand

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.