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http://arxiv.org/pdf/1411.7538...
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arXiv.org e-Print Archive
Preprint . 2014
Data sources: arXiv.org e-Print Archive
https://doi.org/10.1142/978981...
Article . 2015 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2014
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1142/978...
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Mathematical Aspects of Scattering Amplitudes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 07 Sep 2015Embargo end date: 01 Jan 2014Publisher:World Scientific Pub Co Pte LtdJournal:Journeys Through the Precision Frontier: Amplitudes for Colliders
Authors: Duhr, Claude;

doi: 10.1142/9789814678766_0010 , 10.48550/arxiv.1411.7538

arXiv: 1411.7538

Mathematical Aspects of Scattering Amplitudes

Abstract

In these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple polylogarithms, and discuss introduce their Hopf algebra structure. We show how these mathematical concepts are useful in physics by illustrating on several examples how these algebraic structures are useful to perform analytic computations of loop integrals, in particular to derive functional equations among polylogarithms.

58 pages. Lectures presented at TASI 2014

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Keywords

High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
66
Top 10%
Top 10%
Top 10%
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