  Inspired by the calculational steps originally performed by Kawai, Lewellen
and Tye, we decompose scattering amplitudes with single-valued coefficients
obtained in the multi-Regge-limit of N=4 super-Yang-Mills theory into products
of scattering amplitudes with multi-valued coefficients. We consider the
simplest non-trivial situation: the six-point remainder function complementing
the Bern-Dixon-Smirnov ansatz for multi-loop amplitudes. Utilizing inverse
Mellin transformations, all single-valued amplitude components can indeed be
decomposed into multi-valued amplitude components. Although the final
expression is very similar in structure to the Kawai-Lewellen-Tye construction,
moving away from the highly symmetric string scenario comes with several
imponderabilities, some of which become more pronounced when considering more
than six external legs in the remainder function.
