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Cyclic Mario worlds - color-decomposition for one-loop QCD
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-6697-775x
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, article id 141Article in journal (Refereed) Published
Abstract [en]

We present a new color decomposition for QCD amplitudes at one-loop level as a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov decomposition at tree level. Starting from a minimal basis of planar primitive amplitudes we write down a color decomposition that is free of linear dependencies among appearing primitive amplitudes or color factors. The conjectured decomposition applies to any number of quark flavors and is independent of the choice of gauge group and matter representation. The results also hold for higher-dimensional or supersymmetric extensions of QCD. We provide expressions for any number of external quark-antiquark pairs and gluons. [GRAPHICS] .

Place, publisher, year, edition, pages
2018. no 4, article id 141
Keywords [en]
Perturbative QCD, Scattering Amplitudes, Gauge Symmetry
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-355467DOI: 10.1007/JHEP04(2018)141ISI: 000432044000001OAI: oai:DiVA.org:uu-355467DiVA, id: diva2:1229275
Funder
Swedish Research Council, 621-2014-5722Knut and Alice Wallenberg Foundation, KAW 2013.0235Available from: 2018-06-29 Created: 2018-06-29 Last updated: 2019-04-16Bibliographically approved
In thesis
1. Scattering Amplitudes in Supersymmetric Quantum Chromodynamics and Gravity
Open this publication in new window or tab >>Scattering Amplitudes in Supersymmetric Quantum Chromodynamics and Gravity
2019 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Quantum field theory is a theoretical framework for the description of nature in terms of fundamental particles, fields and their interactions. In the quantum regime, elementary scattering processes are observables in many experiments and studied in theoretical physics. The theoretical understanding of scattering amplitudes is often based on a perturbative analysis in powers of the coupling strength of the fundamental forces. Whereas the computation of scattering amplitudes has been dominated by Feynman diagram constructions for a long time, new methods have lead to a multitude of novel results in the last 20-30 years. Thereafter discoveries of new representations, dualities and construction methods have enormously increased our understanding of the mathematical structure of scattering amplitudes.

In this thesis we focus on a particular structure of gauge theory amplitudes known as the color-kinematics duality. Closely tied to this duality is the double copy construction of gravitational amplitudes, and a set of identities among basic building blocks of the gauge theory, the BCJ identities. Using methods developed for the study of this duality, we obtain new results for scattering amplitudes in non-maximal supersymmetric Yang-Mills coupled to massless fundamental matter at one and two loops. We immediately construct amplitudes in supergravity theories via the double copy. Furthermore, we include methods and results for the integration of gauge theory amplitudes and the ultraviolet structure of supergravity amplitudes.

In a second part we present ideas related to the identification of basic building blocks that underlie the construction of  scattering amplitudes. A decomposition of gauge theory amplitudes into color- and kinematic-dependent contributions exposes a set of primitive objects. Relations among these objects allow us to identify a minimal set of independent kinematic building blocks.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2019. p. 107
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1806
Keywords
Scattering Amplitudes, Supersymmetric Gauge Theory, Supergravity, Quantum Chromodynamics
National Category
Subatomic Physics
Research subject
Physics and Astronomy specializing in Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-381772 (URN)978-91-513-0652-0 (ISBN)
Public defence
2019-06-10, Häggsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Opponent
Supervisors
Available from: 2019-05-17 Created: 2019-04-16 Last updated: 2019-06-17

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