Title: Electroweak Logarithms in Inclusive Cross Sections Show Chinese title

Title: 弱电对数在总截面中的影响

Abstract: We develop the framework to perform all-orders resummation of electroweak logarithms of Q/M for inclusive scattering processes at energies Q much above the electroweak scale M. We calculate all ingredients needed at next-to-leading logarithmic (NLL) order and provide an explicit recipe to implement this for 2 $\to$ 2 processes. PDF evolution including electroweak corrections, which lead to Sudakov double logarithms, is computed. If only the invariant mass of the final state is measured, all electroweak logarithms can be resummed by the PDF evolution, at least to LL. However, simply identifying a lepton in the final state requires the corresponding fragmentation function and introduces angular dependence through the exchange of soft gauge bosons. Furthermore, we show the importance of polarization effects for gauge bosons, due to the chiral nature of SU(2) - even the gluon distribution in an unpolarized proton becomes polarized at high scales due to electroweak effects. We justify our approach with a factorization analysis, finding that the objects entering the factorization theorem do not need to be SU(2) $\times$ U(1) gauge singlets, even though we perform the factorization and resummation in the symmetric phase. We also discuss a range of extensions, including jets and how to calculate the EW logarithms when you are fully exclusive in the central (detector) region and fully inclusive in the forward (beam) regions. Show Chinese abstract

Abstract: 我们开发了框架，以对包括散射过程在远高于电弱尺度 M 的能量下的 Q/M 的电弱对数进行所有阶次的重求和。我们计算了在下一阶对数（NLL）阶次所需的所有要素，并提供了针对 2$\to$2 过程的显式实现方法。 包括电弱修正的 PDF 演化，会导致 Sudakov 双对数，已进行了计算。 如果仅测量最终态的不变质量，则所有电弱对数可以通过 PDF 演化进行重求和，至少到 LL 阶次。 然而，仅仅识别最终态中的轻子需要相应的碎片函数，并通过软规范玻色子的交换引入角度依赖性。 此外，我们展示了由于 SU(2) 的手征性质，规范玻色子极化效应的重要性——即使是在非极化的质子中，胶子分布在高尺度下也会由于电弱效应而变得极化。 我们通过因子化分析验证了我们的方法，发现进入因子化定理的对象不需要是 SU(2)$\times$U(1) 规范单态，尽管我们在对称相中进行因子化和重求和。 我们还讨论了一系列扩展，包括喷注以及如何在中央（探测器）区域完全独家而在前向（束流）区域完全包容的情况下计算 EW 对数。