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arXiv 2001.04481hep-ph
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基于Angular Momentum守恒的新选择规则

New Selection Rules from Angular Momentum Conservation

Minyuan Jiang, Jing Shu, Ming-Lei Xiao, Yu-Hui Zheng

摘要:

我们推导了$M \rightarrow N$散射振幅的广义分波展开式。具有确定角动量$j$展开的基振幅由Poincare Clebsch-Gordan系数组成,而$j$约束了紫外物理,从而在树水平上产生相应的算子.此外,我们还得到了一系列限制有效算子反常维数矩阵的选择规则,以及有效算子如何在回路水平上对某些$2 \rightarrow N$振幅作出贡献。

英文摘要:

We derive the generalized partial wave expansion for $M \rightarrow N$ scattering amplitude in terms of spinor helicity variables. The basis amplitudes of the expansion with definite angular momentum $j$ consist of the Poincare Clebsch-Gordan coefficients, while $j$ constrains the UV physics that could generate the corresponding operators at tree level. Moreover, we obtain a series of selection rules that restrict the anomalous dimension matrix of effective operators and the way how effective operators contribute to some $2 \rightarrow N$ amplitudes at the loop level.

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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