Isospin odd pi K scattering length

Abstract

We make use of the chiral two-loop representation of the pi K scattering amplitude [J. Bijnens, P. Dhonte and P. Talavera, JHEP 0405 (2004) 036] to investigate the isospin odd scattering length at next-to-next-to-leading order in the SU(3) expansion. This scattering length is protected against contributions of m_s in the chiral expansion, in the sense that the corrections to the current algebra result are of order M_pi^2. In view of the planned lifetime measurement on pi K atoms at CERN it is important to understand the size of these corrections.

11 pages

References in corpus (8)

• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• The < S P P > Green function and SU(3) breaking in K_{l3} decays
• Order p^6 chiral couplings from the scalar K Pi form factor
• $\pi K$ Scattering in Three Flavour ChPT
• Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
• Decay widths and energy shifts of pi pi and pi K atoms
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• Spectra and decays of pi pi and pi K atoms

Cited by in corpus (10)

• Chiral Perturbation Theory Beyond One Loop
• Chiral perturbation theory
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Hadronic Interactions from Lattice QCD
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• The expansion by regions in pi K scattering
• Hadronic Atoms
• Chiral Nonet Mixing in $\pi K$ Scattering
• Energy and decay width of the pi-K atom