Multiparton Cwebs at five loops
Abstract
Scattering amplitudes involving multiple partons are plagued with infrared singularities. The soft singularities of the amplitude are captured by the soft function which is defined as the vacuum expectation value of Wilson line correlators. Renormalization properties of soft function allows us to write it as an exponential of the finite soft anomalous dimension. An efficient way to study the soft function is through a set of Feynman diagrams known as Cwebs (webs). We present the mixing matrices and exponentiated colour factors (ECFs) for the Cwebs at five loops that connect six Wilson lines, except those that are related by relabeling of Wilson lines. Further, we express these ECFs in terms of 29 basis colour factors. We also find that this basis can be categorized into two colour structures. Our results are the first key ingredients for the calculation of the soft anomalous dimension at five loops.
Cite
@article{arxiv.2305.17452,
title = {Multiparton Cwebs at five loops},
author = {Shubham Mishra and Sourav Pal and Aditya Srivastav and Anurag Tripathi},
journal= {arXiv preprint arXiv:2305.17452},
year = {2024}
}
Comments
The current version matches with the accepted JHEP version. The other details are: 51 pages, 32 figures, 28 tables and 1 ancillary file