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We analytically compute non-global logarithms at finite Nc fully up to 4loops and partially at 5 loops, for the hemisphere mass distribution in e+e- todi-jets to leading logarithmic accuracy. Our method of calculation reliessolely on integrating the eikonal squared-amplitudes for the emission of softenergy-ordered real-virtual gluons over the appropriate phase space. We showthat the series of non-global logarithms in the said distribution exhibits apattern of exponentiation thus confirming - by means of brute force - previousfindings. In the large-Nc limit, our results coincide with those recentlyreported in literature. A comparison of our proposed exponential form withall-orders numerical solutions is performed and the phenomenological impact ofthe finite-Nc corrections is discussed.

Non-global logarithms at finite Nc beyond leading order