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Soft gluon exponentiation in non-abelian gauge theories can be described in terms of webs. So far this description has been restricted to amplitudes with two hard partons, where webs were defined as the colour-connected subset of diagrams.…

High Energy Physics - Phenomenology · Physics 2010-12-06 Einan Gardi , Eric Laenen , Gerben Stavenga , Chris D. White

We study the structure of soft gluon corrections to multi-leg scattering amplitudes in a non-Abelian gauge theory by analysing the corresponding product of semi-infinite Wilson lines. We prove that diagrams exponentiate such that the colour…

High Energy Physics - Phenomenology · Physics 2015-10-23 Einan Gardi , Jennifer M. Smillie , Chris D. White

We consider the recently developed diagrammatic approach to soft-gluon exponentiation in multiparton scattering amplitudes, where the exponent is written as a sum of webs - closed sets of diagrams whose colour and kinematic parts are…

High Energy Physics - Phenomenology · Physics 2015-05-30 Einan Gardi , Jennifer M. Smillie , Chris D. White

I review the recent progress in studying long-distance singularities in gauge-theory scattering amplitudes in terms of Wilson lines. The non-Abelian exponentiation theorem, which has been recently generalised to the case of multi-leg…

High Energy Physics - Phenomenology · Physics 2014-01-03 Einan Gardi

The non-Abelian exponentiation theorem has recently been generalised to correlators of multiple Wilson line operators. The perturbative expansions of these correlators exponentiate in terms of sets of diagrams called webs, which together…

High Energy Physics - Theory · Physics 2015-06-17 Mark Dukes , Einan Gardi , Heather McAslan , Darren J. Scott , Chris D. White

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…

High Energy Physics - Phenomenology · Physics 2021-06-22 Neelima Agarwal , Lorenzo Magnea , Sourav Pal , Anurag Tripathi

We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an…

High Energy Physics - Theory · Physics 2014-10-09 A. A. Vladimirov

In this paper we present new results for the combinatorics of web diagrams and web worlds. These are discrete objects that arise in the physics of calculating scattering amplitudes in non-abelian gauge theories. Web-colouring and web-mixing…

Combinatorics · Mathematics 2016-03-07 Mark Dukes , Chris D. White

Webs are sets of Feynman diagrams which manifest soft gluon exponentiation in gauge theory scattering amplitudes: individual webs contribute to the logarithm of the amplitude and their ultraviolet renormalization encodes its infrared…

High Energy Physics - Phenomenology · Physics 2022-01-05 Einan Gardi , Mark Harley , Rebecca Lodin , Martina Palusa , Jennifer M. Smillie , Chris D. White , Stephanie Yeomans

Correlators of Wilson-line operators are fundamental ingredients for the study of the infrared properties of non-abelian gauge theories. In perturbation theory, they are known to exponentiate, and their logarithm can be organised in terms…

High Energy Physics - Phenomenology · Physics 2021-06-22 Neelima Agarwal , Abhinava Danish , Lorenzo Magnea , Sourav Pal , Anurag Tripathi

Logarithm of the soft function can be organized into sets of Feynman diagrams known as Cwebs. We introduced a new formalism in~\cite{Agarwal:2022wyk}, that allows to determine several of the building blocks of Cweb mixing matrices without…

High Energy Physics - Phenomenology · Physics 2024-05-30 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known…

High Energy Physics - Theory · Physics 2015-06-17 Alexey A. Vladimirov

We provide a recursive diagrammatic prescription for the exponentiation of gauge theory amplitudes involving products of Wilson lines and loops. This construction generalizes the concept of webs, originally developed for eikonal form…

High Energy Physics - Phenomenology · Physics 2010-12-21 Alexander Mitov , George Sterman , Ilmo Sung

Webs are weighted sets of Feynman diagrams which build up the logarithms of correlators of Wilson lines, and provide the ingredients for the computation of the soft anomalous dimension. We present a general analysis of multiple gluon…

High Energy Physics - Phenomenology · Physics 2015-06-22 Giulio Falcioni , Einan Gardi , Mark Harley , Lorenzo Magnea , Chris D. White

The correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the…

High Energy Physics - Phenomenology · Physics 2022-06-09 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

We shall interpret the null hexagonal Wilson loop (or, equivalently, six gluon scattering amplitude) in 4D ${\cal N}=4$ Super Yang-Mills, or, precisely, an integral representation of its matrix part, via an ADHM-like instanton construction.…

High Energy Physics - Theory · Physics 2021-11-03 Davide Fioravanti , Hasmik Poghosyan , Rubik Poghossian

In this paper, we show that multiple maximally soft (anti-)quark and gluon emissions exponentiate at the level of either the amplitude or cross-section. We first show that such emissions can be captured by introducing new soft emission…

High Energy Physics - Phenomenology · Physics 2023-12-20 Melissa van Beekveld , Leonardo Vernazza , Chris D. White

Simplicial complexes are a popular tool used to model higher-order interactions between elements of complex social and biological systems. In this paper, we study some combinatorial aspects of a class of simplicial complexes created by a…

Combinatorics · Mathematics 2023-05-17 Zixuan Xie , Yucheng Wang , Wanyue Xu , Liwang Zhu , Wei Li , Zhongzhi Zhang

The soft function in non-abelian gauge theories exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm are controlled by the web…

High Energy Physics - Phenomenology · Physics 2023-03-03 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

Correlators of Wilson-line, which capture eikonal contributions, are known to exponentiate in non-abelian gauge theories, and their logarithms can be organised in terms of collections of Feynman diagrams called webs.…

High Energy Physics - Phenomenology · Physics 2025-06-04 Abhinava Danish , Shubham Mishra , Sourav Pal , Aditya Srivastav , Anurag Tripathi
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