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, T → 1 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 g 3. Our findings confirm earlier NNLL resummation results for the thrust distribution in soft-collinear effective theory. To combine the resummed expressions with the fixed-order results, we derive the log(R)-matching and R-matching of the NNLL approximation to the fixed-order NNLO distribution.
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Monni, P.F., Gehrmann, T. & Luisoni, G. Two-loop soft corrections and resummation of the thrust distribution in the dijet region. J. High Energ. Phys. 2011, 10 (2011). https://doi.org/10.1007/JHEP08(2011)010
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DOI: https://doi.org/10.1007/JHEP08(2011)010