Elastic $\pi \pi$ scattering to two loops

Abstract

We evaluate analytically the elastic $\pi \pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference ${\delta }_0^0-{\delta }_1^1$.

10 pages, LaTeX, uses epsfig.sty, one postscript picture included. Full postscript file available at http/www.nordita.dk/locinfo/preprints/95077.ps.gz

References in corpus (3)

• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Double chiral logs in the $\pi \pi$ scattering amplitude
• Summary of $\pi$--$\pi$ Scattering Experiments

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