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Main Authors: Mishra, Shubham, Pal, Sourav, Srivastav, Aditya, Tripathi, Anurag
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.17452
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author Mishra, Shubham
Pal, Sourav
Srivastav, Aditya
Tripathi, Anurag
author_facet Mishra, Shubham
Pal, Sourav
Srivastav, Aditya
Tripathi, Anurag
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2305_17452
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Multiparton Cwebs at five loops
Mishra, Shubham
Pal, Sourav
Srivastav, Aditya
Tripathi, Anurag
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Multiparton Cwebs at five loops
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2305.17452