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

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. DOI: https://doi.org/10.1007/JHEP08(2011)010 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-54343 Accepted Version Originally published at: Monni, P F; Gehrmann, T; Luisoni, G (2011). Two-loop soft corrections and resummation of the thrust distribution in the dijet region. Journal of High Energy Physics, (8):10. DOI: https://doi.org/10.1007/JHEP08(2011)010 ar X iv :1 10 5. 45 60 v2 [ he pph ] 2 A ug 2 01 1 Preprint typeset in JHEP style PAPER VERSION IPPP/11/28; DCPT/11/56; ZU-TH 08/11 Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region Pier Francesco Monni, Thomas Gehrmann Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland Gionata Luisoni Institute for Particle Physics Phenomenology, University of Durham, Science Laboratories, South Rd, Durham DH1 3LE, UK 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 nextto-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 g3. 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.