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Five-loop massless propagator integrals
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-1601-4218
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9.

National Category
Other Physics Topics
Research subject
Physics and Astronomy specializing in Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-381808OAI: oai:DiVA.org:uu-381808DiVA, id: diva2:1304834
Available from: 2019-04-15 Created: 2019-04-15 Last updated: 2019-04-15
In thesis
1. Topics in perturbation theory: From IBP identities to integrands
Open this publication in new window or tab >>Topics in perturbation theory: From IBP identities to integrands
2019 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis we present different topics in perturbation theory. We start by introducing the method of integration by parts identities, which reduces a generic Feynman integral to a linear combination of a finite basis of master integrals. In our analysis we make use of the Baikov representation as this form gives a nice framework for generating efficiently the identities needed to reduce integrals. In the second part of the thesis we briefly explain recent developments in the integration of Feynman integrals and present a method to bootstrap the value of p-integrals using constraints from certain limits of conformal integrals. We introduce also another method to obtain p-integrals at l-loops by cutting vacuum diagrams at l+1-loops. In the last part of the thesis we present recent developments in N=4 SYM to compute structure constants. We use perturbation theory to obtain new results that can be tested against this new conjecture. Moreover we use integrability based methods to constrain correlation function of protected operators.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2019. p. 64
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1805
Keywords
Perturbation theory, Feynman Integrals, Integrable field theories, Correlation functions.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-381810 (URN)978-91-513-0648-3 (ISBN)
Public defence
2019-06-07, Room Å4001, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Opponent
Supervisors
Available from: 2019-05-17 Created: 2019-04-15 Last updated: 2019-06-17

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Other links

https://arxiv.org/pdf/1802.00803.pdf

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Georgoudis, AlessandroPereira, Raul

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  • apa
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