pi-pi and pi-K scatterings in three-flavour resummed chiral perturbation theory

Abstract

The (light but not-so-light) strange quark may play a special role in the low-energy dynamics of QCD. The presence of strange quark pairs in the sea may have a significant impact of the pattern of chiral symmetry breaking : in particular large differences can occur between the chiral limits of two and three massless flavours (i.e., whether m_s is kept at its physical value or sent to zero). This may induce problems of convergence in three-flavour chiral expansions. To cope with such difficulties, we introduce a new framework, called Resummed Chiral Perturbation Theory. We exploit it to analyse pi-pi and pi-K scatterings and match them with dispersive results in a frequentist framework. Constraints on three-flavour chiral order parameters are derived.

arXiv commentProceedings of the EPS-HEP 2007 Conference, Manchester (UK). 3 pages, 1 figure

References in corpus (8)

• Roy equation analysis of pi pi scattering
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• The quark condensate from K_{e_4} decays
• High statistics measurement of Ke4 decay properties
• Analysis and interpretation of new low-energy Pi-Pi scattering data
• Paramagnetic effect of light quark loops on Chiral Symmetry Breaking
• Resumming QCD vacuum fluctuations in three-flavour Chiral Perturbation Theory
• Zweig rule violation in the scalar sector and values of low-energy constants

Cited by in corpus (2)

• Chiral dynamics with strange quarks in the light of recent lattice simulations
• Integrating out the heaviest quark in N--flavour ChPT