胶子碎裂为$^1S_0^{[1,8]}$夸克偶素中阈值双对数的重求和
Resummation of threshold double logarithms in gluon fragmentation into $^1S_0^{[1,8]}$ quarkonia
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中文总结 AI 辅助
本文针对胶子碎裂为$^1S_0^{[1,8]}$夸克偶素中受$1/N$抑制的通道，提出了阈值双对数的领头双对数重求和形式体系，并探讨了其唯象影响。
中文摘要 AI 辅助
我研究了胶子碎裂为$^1S_0^{[1,8]}$夸克偶素的碎裂函数的阈值双对数行为，该行为在Mellin空间中受到$1/N$的抑制。尽管对于夸克偶素的胶子碎裂函数，在$1/N$的领头幂次下，阈值双对数已在强耦合中重求和到所有阶，但对于受$1/N$幂次抑制的通道，如何重求和这些对数此前尚不清楚。阈值重求和对于$^1S_0^{[1,8]}$通道可能很重要，因为树级胶子碎裂函数在运动学阈值处具有有限但非零的值。我推导了一个形式体系，用于在领头双对数阶对这些通道的阈值双对数进行重求和，并讨论了其唯象影响。
英文摘要
I investigate the threshold double logarithmic behavior of the fragmentation function of a gluon into $^1S_0^{[1,8]}$ quarkonia, which is suppressed by $1/N$ in Mellin space. While threshold double logarithms have been resummed to all orders in the strong coupling for gluon fragmentation functions for quarkonia at leading power in $1/N$, it has not been known how to resum them for channels suppressed by powers of $1/N$. Threshold resummation can be important for the $^1S_0^{[1,8]}$ channels, as the tree-level gluon fragmentation functions have finite yet nonzero values at the kinematical threshold. I derive a formalism for resumming the threshold double logarithms for these channels at the leading double logarithmic level and discuss the phenomenological impact.
发表机构
- School of Mathematics and Physics, Kangwon National University（江原国立大学数学与物理学院）
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