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arXiv 2204.06385hep-ph
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$B_c$到粲偶素张量形状因子的次首阶QCD计算

Next-to-leading order QCD calculation of $B_c$ to charmonium tensor form factors

Wei Tao, Zhen-Jun Xiao, Ruilin Zhu

摘要:

在非相对论QCD(NRQCD)框架下,提出了对$B_c\to η_c$和$B_c\to J/ψ$张量形状因子的次领先阶(NLO)QCD修正.得到了$B_c$对S波粲偶素张量形状因子的完整解析结果。我们还研究了张量形状因子在分级重夸克极限$m_b\to\infty,~ m_c\to\infty, ~\mathrm{and }~m_c/m_b\to0$中的渐近行为。在重夸克极限下,给出了张量形状因子的一个紧致表达式。分析了不同形状因子之间的关系,特别是在大动量反冲点处。最后给出了$B_c$到粲偶素张量形状因子在所有物理区域的数值结果。

英文摘要:

We present a next-to-leading order (NLO) QCD corrections to $B_c\to η_c$ and $B_c\to J/ψ$ tensor form factors within nonrelativistic QCD (NRQCD) framework. The full analytical results for $B_c$ to S-wave charmonium tensor form factors are obtained. We also studied the asymptotic behaviours of tensor form factors in hierarchy heavy quark limit, i.e. $m_b\to\infty,~ m_c\to\infty, ~\mathrm{and }~m_c/m_b\to0$. A compact expression for tensor form factors are given analytically in the hierarchy heavy quark limit. The relation among different form factors is also analyzed especially at large momentum recoil point. The numerical results for the $B_c$ to charmonium tensor form factors in all the physical region are given in the end.

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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