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We explore a direct connection between the collinear limit and themulti-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory.Starting with the collinear expansion for the six-gluon amplitude in theEuclidean kinematic region, we perform an analytic continuation term by term tothe so-called Mandelstam region. We find that the result coincides with thecollinear expansion of the analytically continued amplitude. We then take themulti-Regge limit, and conjecture that the final result precisely reproducesthe one from the BFKL approach. Combining this procedure with the OPE for nullpolygonal Wilson loops, we explicitly compute the leading contribution in the"collinear-Regge" limit up to five loops. Our results agree with all the knownresults up to four loops. At five-loop, our results up to thenext-to-next-to-leading logarithmic approximation (NNLLA) also reproduce theknown results, and for the N^3LLA and the N^4LLA give non-trivial predictions.We further present an all-loop prediction for the imaginary part of thenext-to-double-leading logarithmic approximation. Our procedure has apossibility of an interpolation from weak to strong coupling in the multi-Reggelimit with the help of the OPE.

Wilson loop OPE, analytic continuation and multi-Regge limit