A Study on the Correlation Between Poles and Cuts in ππ Scattering*

Ling-Yun Dai,Xian-Wei Kang,Tao Luo,Ulf-G. Meiβner

Fig. 1 (Color online) Fit of the $\pi\pi$ scattering amplitudes for Case B. Notice that $\tilde{E}=\rm{sgn}(s)\sqrt{s}$. The solid lines denote the real part of the amplitudes and the dotted, dashed, dash-dotted and dash-dot-dotted lines denote the imaginary part. The black lines are from our fit. The red lines are from a K-matrix fit[7] for the isospin-zero S-wave, and the violet lines are from CFDIV[22] for other waves. The borders of the cyan and green bands in the low-energy region are from SU(2) and SU(3) $\chi$PT, respectively. The CERN-Munich data are from Ref. [20], and the OPE and OPE-DP data are from Ref. [21].