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.
@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>
< 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}},
}