使用完整 NLL BFKL 方法对 Mueller Tang 过程的首次计算
First computation of Mueller Tang processes using the full NLL BFKL approach
AI总结：
首次在BFKL方法下实现jet-gap-jet截面的完整NLO预测，包含NLO impact factors，发现其整体减小截面且对总质心能量的对数依赖可安全忽略，并据最小敏感性原理优化了重正化标度。
摘要：
我们展示了在 BFKL 方法下 LHC 上 jet-gap-jet 截面的完整次领先阶（NLO）预测。我们首次在截面计算中实现了 NLO impact factors。我们提供了关于微分截面的结果，作为两喷注间快度差和方位角差以及次领先喷注横动量的函数。impact factors 的 NLO 修正导致截面相对于仅含 LO impact factors 的相应预测整体减小。我们注意到，NLO impact factors 使截面对总质心能量具有对数依赖性，这在形式上违反了 BFKL 因子化。我们证明该项比总贡献小一个数量级，因此可以安全地包含在当前预测中，而无需对这类对数项进行进一步的重和。根据最小敏感性原理固定重正化标度 μ_R，表明 μ_R 约为喷注横能量总和的 4 倍，并且与领先阶情况相比提供了更小的理论不确定性。
英文摘要：
We present the full next-to-leading order (NLO) prediction for the jet-gap-jet cross section at the LHC within the BFKL approach. We implement, for the first time, the NLO impact factors in the calculation of the cross section. We provide results for differential cross sections as a function of the difference in rapidity and azimuthal angle betwen the two jets and the second leading jet transverse momentum. The NLO corrections of the impact factors induce an overall reduction of the cross section with respect to the corresponding predictions with only LO impact factors. We note that NLO impact factors feature a logarithmic dependence of the cross section on the total center of mass energy which formally violates BFKL factorization. We show that such term is one order of magnitude smaller than the total contribution, and thus can be safely included in the current prediction without a need of further resummation of such logarithmic terms. Fixing the renormalization scale $μ_R$ according to the principle of minimal sensitivity, suggests $μ_R$ about 4 times the sum of the transverse jet energies and provides smaller theroretical uncertainties with respect to the leading order case.
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