论文标题
在深度虚拟的康普顿散射中重新调整阈值对数
Resummation of threshold logarithms in deeply-virtual Compton scattering
论文作者
论文摘要
I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{α_s^n}{x \pm ξ} \log (\frac{ξ\pm x}{2ξ})^k$ in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space.重新召集是在近隔到领导的对数准确度上进行的。关键观察结果是夸克系数函数本身将$ x \ rightarrow \ pmξ$限制分解，该函数允许使用重量级化组方程进行重新召集。初步的数值分析表明，由于夸克贡献重新召集而进行的校正可能很小。
I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{α_s^n}{x \pm ξ} \log (\frac{ξ\pm x}{2ξ})^k$ in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the $x \rightarrow \pm ξ$ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis suggests that the corrections due to resummation for the quark contribution might be small.
