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arXiv 0905.4465hep-ph
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对$e^+e^-\to q\bar q$中纵向自旋-自旋关联不对称性的极角依赖性的$O(α_s)$修正

$O(α_s)$ corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in $e^+e^-\to q\bar q$

S. Groote, J. G. Körner, J. A. Leyva

摘要:

我们提供了分析结果的$O(α_s)$修正的极角依赖的纵向自旋-自旋相关不对称性$e^+e^-\to q\bar q$。对于顶夸克对的产生,对纵向自旋-自旋不对称性的$O(α_s)$修正是强烈的极角依赖的,并且可以在$q^2$ -范围内达到$4\%$,从$t\bar t$阈值以上到$\sqrt{q^2}=1000$ GeV。对相关不对称性的$O(α_s)$辐射修正在横截面最大的前向方向上低于$1\%$。在$e^+e^-\to b\bar b$情况下,$O(α_s)$校正将不对称值从$-100\%$的$m_b=0$值降低到$q^2$的大约$-96\%$-$Z$峰值附近的值,并且实际上与极角θ的值无关。这种减少可以追溯到有限的异常贡献剩余质量效应生存的$m_b\to 0$限制。我们讨论的异常贡献的作用和模式,他们如何有助于自旋翻转和非翻转条款。

英文摘要:

We provide analytical results for the $O(α_s)$ corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in $e^+e^-\to q\bar q$. For top quark pair production the $O(α_s)$ corrections to the longitudinal spin-spin asymmetry are strongly polar angle dependent and can amount up to $4\%$ in the $q^2$-range from above $t\bar t$ threshold up to $\sqrt{q^2}=1000$ GeV. The $O(α_s)$ radiative corrections to the correlation asymmetry are below $1\%$ in the forward direction where the cross section is largest. In the $e^+e^-\to b\bar b$ case the $O(α_s)$ corrections reduce the asymmetry value from its $m_b=0$ value of $-100\%$ to approximately $-96\%$ for $q^2$-values around the $Z$ peak and are practically independent of the value of the polar angle theta. This reduction can be traced to finite anomalous contributions from residual mass effects which survive the $m_b\to 0$ limit. We discuss the role of the anomalous contributions and the pattern of how they contribute to spin-flip and non-flip terms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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