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arXiv 1409.1389hep-ph
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两种不同螺旋度系统中极化顶夸克衰变为B介子的角分析

Angular analysis of polarized top quark decay into B-mesons in two different helicity systems

S. Mohammad Moosavi Nejad, Mahboobe Balali

摘要:

我们计算了${\cal O}(α_s)$辐射修正对过程$t\rightarrow b+W^+$的自旋相关微分衰变率的修正。这是研究极化顶夸克次领先阶衰变(NLO)中强子能量角分布所必需的。在我们以前的工作中,我们使用一个特定的螺旋度坐标系,在该坐标系中测量了顶夸克自旋相对于底夸克动量(系统~1)的关系,研究了极化顶夸克衰变中底味强子(B)标度能量的角分布。本文研究了在不同的螺旋度系统中B强子能谱的角分布,其中顶自旋是相对于W动量指定的(系统~2)。这些能量分布由与衰变$t\rightarrow W^++b$的密度矩阵元有关的极化和非极化速率函数决定。通过本文,我们给出了极化和非极化顶衰变中B强子谱的预测,并将极化结果在两个不同的螺旋度系统中进行比较。这些预测可以用来确定顶夸克的极化状态,也提供了直接访问的B-强子碎裂函数(FF),使我们能够加深我们的知识的强子化过程。

英文摘要:

We calculate the ${\cal O}(α_s)$ radiative corrections to the spin dependent differential decay rates of the process $t\rightarrow b+W^+$. These are needed to study the angular distribution of the energy of hadrons produced in polarized top quark decays at next-to-leading order (NLO). In our previous work, we studied the angular distribution of the scaled-energy of bottom-flavored hadrons (B) from polarized top quark decays, using a specific helicity coordinate system where the top quark spin was measured relative to the bottom momentum (system~1). Here, we study the angular distribution of the energy spectrum of B-hadron in a different helicity system, where the top spin is specified relative to the W-momentum (system~2). These energy distributions are governed by the polarized and unpolarized rate functions which are related to the density matrix elements of the decay $t\rightarrow W^++b$. Through this paper, we present our predictions of the B-hadron spectrum in the polarized and unpolarized top decay and shall compare the polarized results in two different helicity systems. These predictions can be used to determine the polarization states of top quarks and also provide direct access to the B-hadron fragmentation functions (FFs) and allow us to deepen our knowledge of the hadroniazation process.

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