The pion mass and decay constant at three loops in two-flavour chiral perturbation theory
Summary, in English
A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.
- Subatomic Physics
- Chiral Lagrangians
- Effective Field Theories
- Higher Order Calculations for Low Energy Precision Physics
- ISSN: 1029-8479