Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2021)188
Keywords
NLO Computations; QCD Phenomenology
Categories
Funding
- MHRD Govt. of India [171008M01, P578]
- MHRD Govt. of India
Ask authors/readers for more resources
The study focuses on the exponentiation of correlators of Wilson-line operators in non-abelian gauge theories, introducing the concept of Cweb and computing the four-loop mixing matrices. The results demonstrate that the conjectured column sum rule is obeyed, and low-dimensional mixing matrices can be uniquely determined from their combinatorial properties.
Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available