Bounds on the slope and the curvature of the scalar Kπ form factor at zero momentum transfer

2005/04/30 by C. Bourrely, Claude Bourrely, I. Caprini +1
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.nuclphysb.2005.06.013

published as Nucl.Phys. B722 (2005) 149-165 · 25 pages, 5 figures, version to be published in Nuclear Physics B

arxiv created 2005/06/21 · openalex publication_date 2005/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive and calculate unitarity bounds on the slope and curvature of the strangeness-changing scalar form factor at zero momentum transfer, using low-energy constraints and Watson final state interaction theorem. The results indicate that the curvature is important and should not be neglected in the representation of experimental data. The bounds can be converted also into an allowed region for the constants C_12^r and C_34^r of Chiral Perturbation Theory. Our results are consistent with, but weaker than the predictions made by Jamin, Oller and Pich in a coupled channel dispersion approach basedon chiral resonance model. We comment on the differences between the two dispersive methods and argue that the unitarity bounds are useful as an independent check involving different sources of information

Citations

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• Heavy triplets: electric dipole moments vs. proton decay
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)