Soft gluon evolution and non-global logarithms
Soft gluon evolution and non-global logarithms
复制标题
软胶子演化和非全局对数
DOI：
--
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
M. Seymour
中科院分区：
文献类型：
--
作者：
R. Martínez;M. Angelis;J. Forshaw;S. Plätzer;M. Seymour
摘要我们在振幅水平上考虑软胶子演化。我们的进化算法适用于涉及任意数量的彩色部分子的通用硬散射过程，并且我们提出了算法的重新表述，以便使红外发散的消除变得明确。我们还强调洛伦兹不变演化变量所发挥的特殊作用，它与适当定义的偶极子零动量框架中最新发射的横向动量一致。处理大型颜色矩阵对数值实现提出了最重大的挑战，我们提出了一种系统地扩展主要颜色近似的方法。具体来说，我们提出了一个基于颜色流基础的系统程序来计算结果颜色轨迹。确定主要贡献使我们重新推导 Banfi-Marchesini-Smye 方程。然而，我们的形式更加通用，可以系统地执行由 t’Hooft 耦合 αsN ∼ 1 增强的贡献的恢复，以及由 1/N 的幂次参数抑制的连续扰动。我们还讨论了我们的方法与早期工作的关系。
A bstractWe consider soft-gluon evolution at the amplitude level. Our evolution algorithm applies to generic hard-scattering processes involving any number of coloured partons and we present a reformulation of the algorithm in such a way as to make the cancellation of infrared divergences explicit. We also emphasise the special role played by a Lorentz-invariant evolution variable, which coincides with the transverse momentum of the latest emission in a suitably defined dipole zero-momentum frame. Handling large colour matrices presents the most significant challenge to numerical implementations and we present a means to expand systematically about the leading colour approximation. Specifically, we present a systematic procedure to calculate the resulting colour traces, which is based on the colour flow basis. Identifying the leading contribution leads us to re-derive the Banfi-Marchesini-Smye equation. However, our formalism is more general and can systematically perform resummation of contributions enhanced by the t’Hooft coupling αsN ∼ 1, along with successive perturbations that are parametrically suppressed by powers of 1/N . We also discuss how our approach relates to earlier work.
影响因子：
4.4
作者：
Bellm, Johannes;Gieseke, Stefan;Rauch, Daniel
通讯作者：
Rauch, Daniel