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The thrust and heavy-jet mass distributions in the two-jet region

Gardi, Einan and Rathsman, Johan LU (2002) In Nuclear Physics B 638(1-2). p.243-287
Abstract


Dressed Gluon Exponentiation (DGE) is used to calculate the thrust and the heavy-jet mass distributions in e
+
e
-
annihilation in the two-jet region. We perform a detailed analysis of power corrections, taking care of the effect of hadron masses on the measured observables. In DGE the Sudakov exponent is calculated in a renormalization-scale invariant way using renormalon resummation. Neglecting the correlation between the hemispheres in the two-jet region, we express the thrust and the heavy-jet mass distributions in terms of the single-jet mass... (More)


Dressed Gluon Exponentiation (DGE) is used to calculate the thrust and the heavy-jet mass distributions in e
+
e
-
annihilation in the two-jet region. We perform a detailed analysis of power corrections, taking care of the effect of hadron masses on the measured observables. In DGE the Sudakov exponent is calculated in a renormalization-scale invariant way using renormalon resummation. Neglecting the correlation between the hemispheres in the two-jet region, we express the thrust and the heavy-jet mass distributions in terms of the single-jet mass distribution. This leads to a simple description of the hadronization corrections to both distributions in terms of a single shape function, whose general properties are deduced from renormalon ambiguities. Matching the resummed result with the available next-to-leading order calculation, we get a good description of the thrust distribution in a wide range, whereas the description of the heavy-jet mass distribution, which is more sensitive to the approximation of the phase space, is restricted to the range ρ
H
< 1/6. This significantly limits the possibility to determine α
s
from this observable. However, fixing α
s
by the thrust analysis, we show that the power corrections for the two observables are in good agreement.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
in
Nuclear Physics B
volume
638
issue
1-2
pages
45 pages
publisher
North-Holland
external identifiers
  • scopus:0037179142
ISSN
0550-3213
DOI
10.1016/S0550-3213(02)00502-3
language
English
LU publication?
no
id
4bd00663-32ac-4967-8751-b781a23c1ebb
date added to LUP
2019-05-14 13:46:59
date last changed
2022-01-31 19:50:25
@article{4bd00663-32ac-4967-8751-b781a23c1ebb,
  abstract     = {{<p><br>
                            Dressed Gluon Exponentiation (DGE) is used to calculate the thrust and the heavy-jet mass distributions in e<br>
                            <sup>+</sup><br>
                            e<br>
                            <sup>-</sup><br>
                             annihilation in the two-jet region. We perform a detailed analysis of power corrections, taking care of the effect of hadron masses on the measured observables. In DGE the Sudakov exponent is calculated in a renormalization-scale invariant way using renormalon resummation. Neglecting the correlation between the hemispheres in the two-jet region, we express the thrust and the heavy-jet mass distributions in terms of the single-jet mass distribution. This leads to a simple description of the hadronization corrections to both distributions in terms of a single shape function, whose general properties are deduced from renormalon ambiguities. Matching the resummed result with the available next-to-leading order calculation, we get a good description of the thrust distribution in a wide range, whereas the description of the heavy-jet mass distribution, which is more sensitive to the approximation of the phase space, is restricted to the range ρ<br>
                            <sub>H</sub><br>
                             &lt; 1/6. This significantly limits the possibility to determine α<br>
                            <sub>s</sub><br>
                             from this observable. However, fixing α<br>
                            <sub>s</sub><br>
                             by the thrust analysis, we show that the power corrections for the two observables are in good agreement.</p>}},
  author       = {{Gardi, Einan and Rathsman, Johan}},
  issn         = {{0550-3213}},
  language     = {{eng}},
  month        = {{08}},
  number       = {{1-2}},
  pages        = {{243--287}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics B}},
  title        = {{The thrust and heavy-jet mass distributions in the two-jet region}},
  url          = {{http://dx.doi.org/10.1016/S0550-3213(02)00502-3}},
  doi          = {{10.1016/S0550-3213(02)00502-3}},
  volume       = {{638}},
  year         = {{2002}},
}