Integrating out strange quarks in ChPT: terms at order p^6
arXiv:0903.0801 · doi:10.1016/j.physletb.2009.03.056
Abstract
Chiral perturbation theory in the two-flavour sector allows one to analyse Green functions in QCD in a limit where the strange quark mass is considered to be large in comparison to the external momenta and to the light quark masses. In this framework, the pertinent low-energy constants depend on the value of the heavy quark masses. In a recent article, we have worked out, for the coupling constants which occur at order p^4, the dependence on the strange quark mass at two-loop accuracy. Here, we provide analogous relations for some of the couplings which are relevant at order p^6. To keep the calculations somewhat reasonable in size, we consider only those 28 couplings which enter the Green functions built from vector- and axial-vector quark currents in the chiral limit. This provides the matching for 27 linear combinations of the 28 couplings.
11 pages
References in corpus (5)
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- Integrating out strange quarks in ChPT
- Electromagnetic low-energy constants in ChPT
- Low-energy pi-pi and pi-K scatterings revisited in three-flavour resummed chiral perturbation theory
- On the mesonic Lagrangian of order p^6 in chiral SU(2)