The expansion by regions in πKscattering

2006/03/31 by Roland Kaiser, Julia Schweizer · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Geometry #Graph #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematical physics #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pi #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Scattering #Vertex (graph theory) #hep-ph

paper · pdf · doi:10.1088/1126-6708/2006/06/009

published as Journal of High Energy Physics 0606 (2006) 009 · Pion mass formula and references added. 20 pages, 5 figures

arxiv created 2006/05/12 · openalex publication_date 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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Cited by

• An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory