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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…

高能物理 - 唯象学 · 物理学 2024-05-30 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

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…

高能物理 - 唯象学 · 物理学 2022-06-09 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

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…

高能物理 - 唯象学 · 物理学 2021-06-22 Neelima Agarwal , Abhinava Danish , Lorenzo Magnea , Sourav Pal , Anurag Tripathi

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…

高能物理 - 唯象学 · 物理学 2021-06-22 Neelima Agarwal , Lorenzo Magnea , Sourav Pal , Anurag Tripathi

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.…

高能物理 - 唯象学 · 物理学 2024-07-02 Shubham Mishra , Sourav Pal , Aditya Srivastav , Anurag Tripathi

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…

高能物理 - 唯象学 · 物理学 2022-01-05 Einan Gardi , Mark Harley , Rebecca Lodin , Martina Palusa , Jennifer M. Smillie , Chris D. White , Stephanie Yeomans

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.…

高能物理 - 唯象学 · 物理学 2025-06-04 Abhinava Danish , Shubham Mishra , Sourav Pal , Aditya Srivastav , Anurag Tripathi

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…

高能物理 - 理论 · 物理学 2015-06-17 Mark Dukes , Einan Gardi , Heather McAslan , Darren J. Scott , Chris D. White

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.…

高能物理 - 唯象学 · 物理学 2010-12-06 Einan Gardi , Eric Laenen , Gerben Stavenga , Chris D. White

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…

高能物理 - 唯象学 · 物理学 2015-06-22 Giulio Falcioni , Einan Gardi , Mark Harley , Lorenzo Magnea , Chris D. White

Infrared singularities in perturbative Quantum Chromodynamics (QCD) are captured by the Soft function, which can be calculated efficiently using Feynman diagrams known as webs. The starting point for calculating Soft function using webs is…

高能物理 - 唯象学 · 物理学 2025-07-29 Neelima Agarwal , Sourav Pal , Aditya Srivastav , Anurag Tripathi

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…

高能物理 - 唯象学 · 物理学 2015-05-30 Einan Gardi , Jennifer M. Smillie , 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…

高能物理 - 唯象学 · 物理学 2015-10-23 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…

高能物理 - 唯象学 · 物理学 2014-01-03 Einan Gardi

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…

组合数学 · 数学 2016-03-07 Mark Dukes , Chris D. White

We describe how to construct a spanning set of linearly-independent, automatically orthogonal colour tensors for scattering amplitudes involving coloured particles transforming under arbitrary representations of any gauge theory, sufficient…

高能物理 - 理论 · 物理学 2026-01-01 Jacob L. Bourjaily , Michael Plesser , Cristian Vergu

Gaining insight about ensembles of magnetic configurations, that could originate the confining string tension between quarks, constitutes a major concern in current lattice investigations. This interest also applies to a different approach,…

高能物理 - 理论 · 物理学 2015-06-18 L. E. Oxman , G. C. Santos Rosa , B. F. I. Teixeira

We introduce a new combinatorial object called a web world that consists of a set of web diagrams. The diagrams of a web world are generalizations of graphs, and each is built on the same underlying graph. Instead of ordinary vertices the…

组合数学 · 数学 2013-01-30 Mark Dukes , Einan Gardi , Einar Steingrimsson , Chris D. White

We compute a class of diagrams contributing to the multi-leg soft anomalous dimension through three loops, by renormalizing a product of semi-infinite non-lightlike Wilson lines in dimensional regularization. Using non-Abelian…

高能物理 - 唯象学 · 物理学 2015-06-17 Einan Gardi

Complex networks can often be decomposed into less complex sub-networks whose structures can give hints about the functional organization of the network as a whole. However, these structural motifs can only tell one part of the functional…

分子网络 · 定量生物学 2015-05-20 Jifeng Qian , Arend Hintze , Christoph Adami
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