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arXiv 0811.2728hep-ph
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O(α_s)辐射修正对e+ e- -> tbar t(pol.)直到给定胶子能量削减

Analytical results for O(α_s) radiative corrections to e+ e- -> tbar t(pol.) up to a given gluon energy cut

S. Groote, J. G. Körner

摘要:

我们确定了在特定胶子能量切割下e+ e-湮灭中极化顶夸克对产生的O(α s)辐射修正。给出了非极化和极化O(α_s)截面e+ e- -> tbar t(G)和e+ e- -> tbar t(pol.)(G)包括它们相对于波束方向的极取向依赖性。在软胶子极限中,我们恢复了从软胶子近似中已知的通常的因式分解形式。在胶子能切取最大值的极限下,我们恢复了以前计算的完全包含的非极化和极化截面。我们提供了一些数值结果的各种极化和非极化截面的截止依赖性,并讨论了如何精确的结果数值不同于近似的软胶子结果。

英文摘要:

We determine the O(α_s) radiative corrections to polarized top quark pair production in e+ e- -annihilations with a specified gluon energy cut. We write down fully analytical results for the unpolarized and polarized O(α_s) cross sections e+ e- -> tbar t (G) and e+ e- -> tbar t(pol.) (G) including their polar orientation dependence relative to the beam direction. In the soft gluon limit we recover the usual factorizing form known from the soft gluon approximation. In the limit when the gluon energy cut takes its maximum value we recover the totally inclusive unpolarized and polarized cross sections calculated previously. We provide some numerical results on the cut-off dependence of the various polarized and unpolarized cross sections and discuss how the exact results numerically differ from the approximate soft-gluon results.

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