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arXiv 1708.02446hep-phhep-ex
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双对数近似下的光-光散射

Light-by-light scattering in Double-Logarithmic Approximation

B. I. Ermolaev, S. I. Troyan

摘要:

本文研究了高能虚光子弹性2 -> 2 -散射的正向运动学问题。考虑到胶子和夸克对QCD耦合各阶的双对数贡献,我们在双对数近似下得到了该过程振幅的显式表达式。首先,我们保持QCD耦合固定,然后考虑运行耦合效应。应用鞍点法对所得到的散射振幅表达式进行了计算,得到了振幅的高能渐近性质,证明了振幅的高能渐近性质具有Regge形式。Reggeon具有真空量子数,因此它是对Pomeron的新的DL贡献。通过对DL Pomeron和BFKL Pomeron的比较发现,DL Pomeron对高能渐近性质的贡献与BFKL Pomeron的贡献在同一量级,因此DL Pomeron应该和BFKL Pomeron一起考虑.我们估计的适用范围的渐近的光由光的散射振幅,其中DL Pomeron可以可靠地代表父振幅。

英文摘要:

In the present paper we consider the elastic 2 -> 2 -scattering of virtual photons at high energies in the forward kinematics at zero and non-zero values of t. Accounting for both gluon and quark double-logarithmic (DL) contributions to all orders in the QCD coupling, we obtain explicit expressions for amplitudes of this process in Double-Logarithmic Approximation (DLA). First we keep the QCD coupling fixed and then account for running coupling effects. Applying the saddle-point method to the obtained expressions for the scattering amplitude, we calculate the high-energy asymptotics of the amplitude, which proved to be of the Regge form. The Reggeon bears the vacuum quantum numbers and therefore it is a new, DL contribution to Pomeron. Comparison of the DL Pomeron to the BFKL Pomeron shows that contribution of the DL Pomeron to the high-energy asymptotics is of the same order as contribution of the BFKL Pomeron, so the DL Pomeron should be taken into account together with the BFKL Pomeron. We estimate the applicability region for the asymptotics of the light-by-light scattering amplitude, where the the DL Pomeron can reliably represent the parent amplitude.

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