AI 中文总结
该研究在光锥求和规则框架下，计算了$\gamma^*\u03b3 \to f_2(1270)$跃迁形状因子的强子光子修正，建立次领头阶因子化公式并重求和大对数，结合QCD共线因子化给出三个螺旋度形状因子的更新理论预言及不确定性估计。
AI 中文摘要
在光锥求和规则框架内，我们计算了由实光子的领头扭度光子分布振幅诱导的$\gamma^*\u03b3 \to f_2(1270)$跃迁形状因子的强子光子修正。我们建立了$\alpha_s$次领头阶下真空到光子关联函数的因子化公式，并通过区域法提取微扰硬匹配系数。硬函数中出现的参数化大对数通过求解相应光锥张量算符的两圈演化方程，重求和至次领头对数精度。将所得光锥求和规则与QCD共线因子化的已知领头幂次贡献结合，我们给出了三个螺旋度形状因子$T_0(Q^2)$、$T_1(Q^2)$和$T_2(Q^2)$的更新理论预言，包含理论不确定性的估计。
英文摘要
Within the framework of light-cone sum rules, we calculate the hadronic photon corrections to the $γ^*γ\to f_2(1270)$ transition form factors induced by the leading-twist photon distribution amplitude of the real photon. We establish the factorization formula for the vacuum-to-photon correlation function at next-to-leading order in $α_s$, and extract the perturbative hard matching coefficients by applying the method of regions. The parametrically large logarithms appearing in the hard functions are resummed to next-to-leading logarithmic accuracy by solving the two-loop evolution equation for the corresponding light-ray tensor operator. Combining the resulting light-cone sum rules with the known leading-power contributions from QCD collinear factorization, we provide updated theoretical predictions for the three helicity form factors $T_0(Q^2)$, $T_1(Q^2)$ and $T_2(Q^2)$, including an estimate of the theoretical uncertainties.
