We present a calculation of non-global logs at finite $\mathrm{ N_c}$ for the hemisphere mass distribution in $e^+e^-\to 2$ jets at single log accuracy up to fifth order in the strong coupling constant. Our results suggest a possible all-orders resummation of these large logs into an exponential. Comparing our results to those at large $\mathrm{ N_c}$, recently reported in literature, we find an agreement. We additionally compare our findings with the numerical all-orders resummation at large $\mathrm{ N_c}$ and discuss the significance of neglected finite-$\mathrm{ N_c}$ corrections on the said distribution.
Categories: hep-ph