Hemisphere jet mass distribution at finite $N_c$

Abstract

We perform the leading logarithmic resummation of nonglobal logarithms for the single-hemisphere jet mass distribution in $e^{+}{e}^{-}$ annihilation including the finite-$N_c$ corrections. The result is compared with the previous all-order result in the large-$N_c$ limit as well as fixed-order perturbative calculations.

Comments: 10 pages, 1 figure. v2: the numerical result revised after removing a systematic error; v3: added more statistics, new fitting parameters, accepted for publication in Phys.Lett.B