Multiparton Cwebs at five loops

A bstract 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 allow...

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Bibliographic Details
Published in:The journal of high energy physics 2024-07, Vol.2024 (7), p.78-54, Article 78
Main Authors: Mishra, Shubham, Pal, Sourav, Srivastav, Aditya, Tripathi, Anurag
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Color
Elementary Particles
Feynman diagrams
Higher-Order Perturbative Calculations
Kinematics
Partons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resummation
Singularities
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2024)078