Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China.
Theoretical Division, MS B283, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev Lett. 2019 Aug 9;123(6):062001. doi: 10.1103/PhysRevLett.123.062001.
We present an operator-based factorization formula for the transverse energy-energy correlator (TEEC) hadron collider event shape in the back-to-back (dijet) limit. This factorization formula exhibits a remarkably symmetric form, being a projection onto a scattering plane of a more standard transverse momentum dependent factorization. Soft radiation is incorporated through a dijet soft function, which can be elegantly obtained to next-to-next-to-leading order (NNLO) due to the symmetries of the problem. We present numerical results for the TEEC resummed to next-to-next-to-leading logarithm (NNLL) matched to fixed order at the LHC. Our results constitute the first NNLL resummation for a dijet event shape observable at a hadron collider, and the first analytic result for a hadron collider dijet soft function at NNLO. We anticipate that the theoretical simplicity of the TEEC observable will make it indispensable for precision studies of QCD at the LHC, and as a playground for theoretical studies of factorization and its violation.
我们提出了一种基于算符的横向能量-能量关联函数（TEEC）在背靠背（双喷注）极限下的因子分解公式。这个因子分解公式具有非常对称的形式，是一种更标准的横向动量依赖因子分解在散射平面上的投影。软辐射通过双喷注软函数来包含，由于问题的对称性，可以优雅地得到次领头阶（NNLO）的结果。我们给出了在 LHC 上匹配到固定阶次的 TEEC 到次领头阶对数（NNLL）的重整化结果。我们的结果构成了在强子对撞机上双喷注事件形状可观测量的第一个 NNLL 重整化，以及强子对撞机双喷注软函数的第一个 NNLO 解析结果。我们预计，TEEC 可观测量的理论简单性将使其成为 LHC 上 QCD 精密研究不可或缺的工具，并成为因子化及其破坏的理论研究的 playground。
