论文标题
通过八个循环引导应力调整外形尺寸
Bootstrapping a Stress-Tensor Form Factor through Eight Loops
论文作者
论文摘要
我们使用formage Operator产品扩展中的边界数据，在平面$ \ Mathcal {n} = 4 $ supersymmetric yang-mills理论中引导手性应力调节多重组的三点形式。这可能代表了统一四维量子场理论中多变量量的最高扰动顺序。在计算此形式时，我们观察并在符号中相邻字母的成对和三元组上采用新的限制。我们提供有关通过八个循环描述形式所需的功能空间的详细信息。在各种线上绘制结果为扰动理论收敛的有限半径提供了惊人的数值证据。根据最大超越性的原则，我们的结果有望在$ g g \ rightarrow h g $和$ h \ rightarrow ggg $振幅中提供最高的重量部分，并在QCD的重型限制中通过八个循环提供。这些结果最近也被用来发现该形式与同一理论中的六点振幅之间的新抗焦点二元性。
We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the $g g \rightarrow H g$ and $H \rightarrow ggg$ amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.
