uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
AZURITE: An algebraic geometry based package for finding bases of loop integrals
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Swiss Fed Inst Technol, Wolfang Pauli Str 27, CH-8093 Zurich, Switzerland..
Univ Southampton, Sch Phys & Astron, Southampton SO17 1BJ, Hants, England.;Swiss Fed Inst Technol, Wolfang Pauli Str 27, CH-8093 Zurich, Switzerland..
Swiss Fed Inst Technol, Wolfang Pauli Str 27, CH-8093 Zurich, Switzerland..
2017 (English)In: Computer Physics Communications, ISSN 0010-4655, E-ISSN 1879-2944, Vol. 221, p. 203-215Article in journal (Refereed) Published
Abstract [en]

For any given Feynman graph, the set of integrals with all possible powers of the propagators spans a vector space of finite dimension. We introduce the package AZURITE (A ZURich-bred method for finding master InTEgrals), which efficiently finds a basis of this vector space. It constructs the needed integration by-parts (IBP) identities on a set of generalized-unitarity cuts. It is based on syzygy computations and analyses of the symmetries of the involved Feynman diagrams and is powered by the computer algebra systems SINGULAR and MATHEMATICA. It can moreover analytically calculate the part of the IBP identities that is supported on the cuts. In some cases, the basis obtained by AZURITE may be slightly overcomplete.

Program summary

Program Title: AZURITE

Licensing provisions: GNU General Public License (GPL)

Programming language: Wolfram MATHEMATICA version 10.0 or higher

Supplementary material: A manual in the form of a MATHEMATICA notebook

Nature of problem: Determination of a basis of the space of loop integrals spanned by a given Feynman diagram and all of its subdiagrams

Solution method: MATHEMATICA implementation.

Place, publisher, year, edition, pages
2017. Vol. 221, p. 203-215
Keywords [en]
Feynman diagrams, Computational algebraic geometry, Integration-by-parts identities
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:uu:diva-340677DOI: 10.1016/j.cpc.2017.08.013ISI: 000413376800015OAI: oai:DiVA.org:uu-340677DiVA, id: diva2:1180185
Funder
EU, FP7, Seventh Framework Programme, 627521Knut and Alice Wallenberg Foundation, 2015-0083Available from: 2018-02-05 Created: 2018-02-05 Last updated: 2018-02-05Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Georgoudis, Alessandro

Search in DiVA

By author/editor
Georgoudis, Alessandro
By organisation
Theoretical Physics
In the same journal
Computer Physics Communications
Computer Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 16 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf