Integrating out strange quarks in ChPT

2007/06/26 by Jurg Gasser, J. Gasser, Christoph Haefeli +4 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.06.058

published as Phys.Lett.B652:21-26,2007 · 14 pages, 3 figures, References added. Due to a typo in a form program, we missed a finite, scale independent part in l_7. Is now included. Version to appear in Phys.Lett.B

arxiv created 2007/06/26 · openalex publication_date 2007/07/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We study three flavour chiral perturbation theory in a limit where the strange quark mass is much larger than the external momenta and the up and down quark masses, and where the external fields are those of two-flavour chiral perturbation theory. In this case, the theory reduces to the one of SU(2)_L x SU(2)_R. Through this reduction, one can work out the strange quark mass dependence of the LECs in the two-flavour case. We present the pertinent relations at two-loop order for F,B and l_i.

Citations

• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

Cited by

• On the two-loop contributions to the pion mass
• A new global fit of the Lir at next-to-next-to-leading order in Chiral Perturbation Theory