  We analytically compute non-global logarithms at finite Nc fully up to 4
loops and partially at 5 loops, for the hemisphere mass distribution in e+e- to
di-jets to leading logarithmic accuracy. Our method of calculation relies
solely on integrating the eikonal squared-amplitudes for the emission of soft
energy-ordered real-virtual gluons over the appropriate phase space. We show
that the series of non-global logarithms in the said distribution exhibits a
pattern of exponentiation thus confirming - by means of brute force - previous
findings. In the large-Nc limit, our results coincide with those recently
reported in literature. A comparison of our proposed exponential form with
all-orders numerical solutions is performed and the phenomenological impact of
the finite-Nc corrections is discussed.
