近日，美国西北大学的John Joseph Carrasco与Aslan Seifi合作并取得一项新进展。经过不懈努力，他们探究了基本表示中有质量费米子的回路级双重复制。相关研究成果已于2023年5月26日在国际知名学术期刊《高能物理杂志》上发表。
该研究团队发现，幺正切割和颜色与运动学之间的对偶性是自举D维度量子色动力学（QCD）散射振幅的足够约束条件。研究人员计算了六个点的树级振幅，并首次构建了基本表示下具有质量费米子的四点一回路修正的色对偶表示。为了实现这一目标，他们明确了处理涉及费米子物质的动力学假设的方法。
色对偶计算具有类似于伴随表示粒子的优势：只需通过理论的物理信息对少数基础拓扑进行约束，然后通过代数关系将其传递为完整解。由于他们构建的所有QCD振幅都是色对偶的，因此可以通过双复复制构造轻松生成D维度引力理论振幅。
附：英文原文
Title: Loop-level double-copy for massive fermions in the fundamental
Author: Carrasco, John Joseph, Seifi, Aslan
Issue&Volume: 2023-05-26
Abstract: We find that unitarity cuts and the duality between color and kinematics are sufficient constraints to bootstrap D-dimensional QCD scattering amplitudes starting from three-particle tree-level. Specifically, we calculate tree level amplitudes through six-points, as well as the four-point one-loop correction for massive fermions in the fundamental representation of the gauge group — constructing a color-dual representation of the latter for the first time. To do so we clarify a prescription for functional kinematic ansatze involving fermionic matter. The advantages of color-dual calculation, familiar from particles in the adjoint, also apply here: only a small number of basis topologies must be constrained via physical information of the theory, and algebraic relations propagate this to a full solution. As all the QCD amplitudes we construct here are color-dual, they trivially generate D-dimensional amplitudes in gravitational theories via double-copy construction.
DOI: 10.1007/JHEP05(2023)217
Source: https://link.springer.com/article/10.1007/JHEP05(2023)217