Departamento de Física Teórica, Universidad Complutense de Madrid (UCM), E-28040 Madrid, Spain.
Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands.
Phys Rev Lett. 2018 Oct 19;121(16):162001. doi: 10.1103/PhysRevLett.121.162001.
We investigate the use of jets to measure transverse-momentum-dependent distributions (TMDs). The example we use to present our framework is the dijet momentum decorrelation at lepton colliders. Translating this momentum decorrelation into an angle θ≪1, we analyze the factorization of the cross section for the cases θ≫R, θ∼R, and θ≪R, where R is the jet radius. Critically, for the winner-take-all axis, the jet TMD has the same double-scale renormalization group evolution as TMD fragmentation functions for all radii R. TMD fragmentation functions in factorization theorems may then simply be replaced by the jet TMDs we calculate, and all ingredients to perform the resummation to next-to-next-to-leading logarithmic accuracy are available. Our approach also applies to semi-inclusive deep inelastic scattering, where a jet instead of a hadron is measured in the final state, and we find a clean method to probe the intrinsic transverse momentum of quarks and gluons in the proton that is less sensitive to final-state nonperturbative effects.
我们研究了使用喷注来测量横向动量依赖分布（TMD）。我们用来展示我们的框架的例子是在电子对撞机上的双喷注动量去关联。将这个动量去关联转化为一个小角度θ≪1，我们分析了在θ≫R、θ∼R 和 θ≪R 的情况下，横截面积的因子化，其中 R 是喷注半径。关键的是，对于“赢家通吃”轴，对于所有半径 R，喷注 TMD 具有与 TMD 碎裂函数相同的双重标度重整化群演化。在因子化定理中，TMD 碎裂函数可以简单地被我们计算的喷注 TMD 所取代，并且可以使用所有的成分来进行到次领头阶对数精度的重整化群计算。我们的方法也适用于半单举深度非弹性散射，其中在末态中测量的是一个喷注而不是一个强子，我们找到了一种干净的方法来探测质子中夸克和胶子的固有横向动量，这种方法对末态非微扰效应的敏感性较小。
