论文标题

共同QCD中的两光孔过程:重新召集领先操作员的后代

Two-photon processes in conformal QCD: Resummation of the descendants of leading-twist operators

论文作者

Braun, V. M., Ji, Yao, Manashov, A. N.

论文摘要

使用一些共形场理论的技术,我们找到了通过添加总导数(通过将总导数添加到QCD中的两个电磁电流的运算符产品扩展(OPE)获得的领先扭曲操作员及其后代的贡献的封闭表达式。我们的表达恢复了所有曲折和扰动理论中所有阶的贡献,直至与QCD $β$功能成正比的校正。在树级和四个准确性上,我们的结果与以不同方法得出的表达相符。结果直接适用于深层康普顿散射,例如两个介子中的$γγ^\ ast $ nihitation。作为副产品,我们为两种标量电流的OPE提供了一个简单的表示,这对于应用程序很方便。

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two electromagnetic currents in QCD. Our expression resums contributions of all twists and to all orders in perturbation theory up to corrections proportional to the QCD $β$-function. At tree level and to twist-four accuracy, our result agrees with the expression derived earlier by a different method. The results are directly applicable to deeply-virtual Compton scattering and, e.g., $γγ^\ast$ annihilation in two mesons. As a byproduct, we derive a simple representation for the OPE of two scalar currents that is convenient for applications.

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