Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory

Abstract

The vector and axial-vector two-point functions are calculated to next-to-next-to-leading order in Chiral Perturbation Theory for three light flavours. We also obtain expressions at the same order for the masses, $m_{\pi }^2$, $m_K^2$ and $m_{\eta }^2$, and the decay constants, $F_{\pi }$, $F_K$ and $F_{\eta }$. We present some numerical results after a simple resonance estimate of some of the new $\mathcal{O}(p^6)$ constants.

Comments: LaTeX2e, 42 pages