Non-global logarithms at finite N ^sub c^ beyond leading order

Abstract

Abstract

We analytically compute non-global logarithms at finite N ^sub c^ fully up to 4 loops and partially at 5 loops, for the hemisphere mass distribution in e ^sup +^ e ^sup -^ [arrow right] 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-N ^sub c^ 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-N ^sub c^ corrections is discussed.