Error estimates for pi-pi scattering threshold parameters in Chiral Perturbation Theory to two loops

Abstract

Using the analysis of ChPT to two loops, we perform an error analysis of the threshold and low energy parameters, based on the uncertainties for the one loop low energy parameters and the resonance saturation mechanism. Different sets of one loop low energy constants have been considered.Thus, the predictive power of the effective field theory is quantified on the basis of the present experimental uncertainties.

12 pages, 2 tables, 3 figures. Numerics upgraded to v2 of ref.(8). New reference added. Typos corrected. New figure for SU(3) parameters included

References in corpus (1)

• Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering

Cited by in corpus (13)

• ππscattering
• Manipulation of Molecules with Electromagnetic Fields
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• Bootstrapping the statistical uncertainties of NN scattering data
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Decay widths and energy shifts of pi pi and pi K atoms
• Self-consistent statistical error analysis of $\pi \pi$ scattering
• An introduction to Bootstrap for nuclear physics
• Proton scalar dipole polarizabilities from real Compton scattering data, using fixed-t subtracted dispersion relations and the bootstrap method
• Meson Resonances at large Nc: Complex Poles vs Breit-Wigner Masses
• Triton binding energy with realistic precision