Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution
(2001) In Nuclear Physics B 609(1-2). p.123-182- Abstract
The thrust distribution in e+e- annihilation is calculated exploiting its exponentiation property in the two-jet region t=1-T≪1. We present a general method (DGE) to calculate a large class of logarithmically enhanced terms, using the dispersive approach in renormalon calculus. Dressed Gluon Exponentiation is based on the fact that the exponentiation kernel is associated primarily with a single gluon emission, and therefore the exponent is naturally represented as an integral over the running coupling. Fixing the definition of Λ is enough to guarantee consistency with the exact exponent to next-to-leading logarithmic accuracy. Renormalization scale dependence is avoided by keeping all the logs. Sub-leading logs,... (More)
The thrust distribution in e+e- annihilation is calculated exploiting its exponentiation property in the two-jet region t=1-T≪1. We present a general method (DGE) to calculate a large class of logarithmically enhanced terms, using the dispersive approach in renormalon calculus. Dressed Gluon Exponentiation is based on the fact that the exponentiation kernel is associated primarily with a single gluon emission, and therefore the exponent is naturally represented as an integral over the running coupling. Fixing the definition of Λ is enough to guarantee consistency with the exact exponent to next-to-leading logarithmic accuracy. Renormalization scale dependence is avoided by keeping all the logs. Sub-leading logs, that are usually neglected, are factorially enhanced and are therefore important. Renormalization-group invariance as well as infrared renormalon divergence are recovered in the sum of all the logs. The logarithmically enhanced cross-section is evaluated by Borel summation. Renormalon ambiguity is then used to study power corrections in the peak region Qt≳Λ, where the hierarchy between the renormalon closest to the origin (~1/Qt) and others (~1/(Qt)n) starts to break down. The exponentiated power-corrections can be described by a shape-function, as advocated by Korchemsky and Sterman. Our calculation suggests that the even central moments of the shape-function are suppressed. Good fits are obtained yielding αsMS(MZ)=0.110±0.001, with a theoretical uncertainty of ~5%.
(Less)
- author
- Gardi, Einan and Rathsman, Johan LU
- publishing date
- 2001-08-20
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- 12.38.Cy, 13.87.-a
- in
- Nuclear Physics B
- volume
- 609
- issue
- 1-2
- pages
- 60 pages
- publisher
- North-Holland
- external identifiers
-
- scopus:0000488349
- ISSN
- 0550-3213
- DOI
- 10.1016/S0550-3213(01)00284-X
- language
- English
- LU publication?
- no
- id
- ec509996-0bd6-46e9-a2db-3f151f54f2bb
- date added to LUP
- 2019-05-14 13:49:00
- date last changed
- 2022-01-31 19:50:26
@article{ec509996-0bd6-46e9-a2db-3f151f54f2bb,
abstract = {{<p>The thrust distribution in e<sup>+</sup>e<sup>-</sup> annihilation is calculated exploiting its exponentiation property in the two-jet region t=1-T≪1. We present a general method (DGE) to calculate a large class of logarithmically enhanced terms, using the dispersive approach in renormalon calculus. Dressed Gluon Exponentiation is based on the fact that the exponentiation kernel is associated primarily with a single gluon emission, and therefore the exponent is naturally represented as an integral over the running coupling. Fixing the definition of Λ is enough to guarantee consistency with the exact exponent to next-to-leading logarithmic accuracy. Renormalization scale dependence is avoided by keeping all the logs. Sub-leading logs, that are usually neglected, are factorially enhanced and are therefore important. Renormalization-group invariance as well as infrared renormalon divergence are recovered in the sum of all the logs. The logarithmically enhanced cross-section is evaluated by Borel summation. Renormalon ambiguity is then used to study power corrections in the peak region Qt≳Λ, where the hierarchy between the renormalon closest to the origin (~1/Qt) and others (~1/(Qt)<sup>n</sup>) starts to break down. The exponentiated power-corrections can be described by a shape-function, as advocated by Korchemsky and Sterman. Our calculation suggests that the even central moments of the shape-function are suppressed. Good fits are obtained yielding α<sub>s</sub><sup>MS</sup>(M<sub>Z</sub>)=0.110±0.001, with a theoretical uncertainty of ~5%.</p>}},
author = {{Gardi, Einan and Rathsman, Johan}},
issn = {{0550-3213}},
keywords = {{12.38.Cy; 13.87.-a}},
language = {{eng}},
month = {{08}},
number = {{1-2}},
pages = {{123--182}},
publisher = {{North-Holland}},
series = {{Nuclear Physics B}},
title = {{Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution}},
url = {{http://dx.doi.org/10.1016/S0550-3213(01)00284-X}},
doi = {{10.1016/S0550-3213(01)00284-X}},
volume = {{609}},
year = {{2001}},
}