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.

arXiv commentPion mass formula and references added. 20 pages, 5 figures

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Cited by in corpus (14)

• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Integrating out strange quarks in ChPT
• Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry
• 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
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory: Theory and Practice
• Chiral Nonet Mixing in $\pi K$ Scattering
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Energy and decay width of the pi-K atom
• Relations between SU(2)- and SU(3)-LECs in chiral perturbation theory
• Integrating out the heaviest quark in N--flavour ChPT