Quark Mass dependence at Two Loops for Meson Properties

Abstract

This talks contains a short introduction to Chiral Perturbation Theory and the existing calculations to two-loop order in the mesonic sector. I include a discussion on which quantities the expansion can be organized in. The present best values of the Low-Energy-Constants as determined from continuum physics are given as well as the assumptions underlying the fits to experimental data. I present plots of masses, decay constants and $f_{+}(0)$ in $K_{\ell 3}$ as a function of quark or meson masses. The talk ends with a list of things for which it would be extremely useful to have good results from lattice QCD calculations.

15 pages, plenary talk at T he XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany. v2: some clarifying statements added

References in corpus (3)

• Integrating out strange quarks in ChPT
• On the two-loop contributions to the pion mass
• On the mesonic Lagrangian of order p^6 in chiral SU(2)

Cited by in corpus (9)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• MILC results for light pseudoscalars
• Results from the MILC collaboration's SU(3) chiral perturbation theory analysis
• Electromagnetic low-energy constants in ChPT
• Status of Strong ChPT
• Determining QCD Low-Energy Couplings from lattice simulations
• Chiral Limit and Light Quark Masses in 2+1 Flavor Domain Wall QCD
• Chiral perturbation theory in the meson sector
• Eta and Eta' physics