Non-global logs and clustering impact on jet mass with a jet veto distribution

There has recently been much interest in analytical computations of jet mass distributions with and without vetos on additional jet activity [1-6]. An important issue affecting such calculations, particularly at next-to-leading logarithmic (NLL) accuracy, is that of non-global logarithms as well as logarithms induced by jet definition, as we pointed out in an earlier work [3]. In this paper, we extend our previous calculations by independently deriving the full jet-radius analytical form of non-global logarithms, in the anti-k(t) jet algorithm. Employing the small jet radius approximation, we also compute, at fixed-order, the effect of jet clustering on both C-F(2) and CFCA colour channels. Our findings for the CFCA channel confirm earlier analytical calculations of non-global logarithms in soft-collinear effective theory [5]. Moreover, all of our results, as well as those of [] are compared to the output of the numerical program EVENT2. We find good agreement between analytical and numerical results both with and without final state clustering.