The expansion by regions in pi K scattering

Abstract

We discuss a number of two loop (vertex) integrals relevant for pi K scattering at threshold. As such these are functions of two well separated mass scales, M\_pi/M\_K << 1. The method of regions allows an expansion in this mass ratio prior to the integration. In the cases considered, the coefficients in this expansion can be evaluated with elementary methods. As a first example of an application we present the leading strange quark contributions to the pion mass.

Pion mass formula and references added. 20 pages, 5 figures

References in corpus (3)

• Towards a consistent estimate of the chiral low-energy constants
• Finite volume effects for the pion mass at two loops
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants

Cited by in corpus (6)

• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Integrating out strange quarks in ChPT
• Integrating out strange quarks in ChPT: terms at order p^6
• Electromagnetic low-energy constants in ChPT
• On the two-loop contributions to the pion mass
• Energy and decay width of the pi-K atom