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Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region

Abstract

The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet limit, to next-to-next-to-leading logarithmic (NNLL) accuracy. We independently derive the two-loop soft function for the thrust distribution and extract an analytical expression for the NNLL resummation coefficient . To combine the resummed expressions with the fixed-order results, we derive the -matching and -matching of the NNLL approximation to the fixed-order NNLO distribution.