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Two-loop soft corrections and resummation of the thrust distribution in the dijet region


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.

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.

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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:August 2011
Deposited On:18 Feb 2012 15:36
Last Modified:26 Jan 2017 08:50
Publisher:Springer
ISSN:1126-6708 (P) 1029-8479 (E)
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/JHEP08(2011)010
Related URLs:http://arxiv.org/abs/1105.4560

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