Two-loop integral reduction from elliptic and hyperelliptic curves
dc.contributor.author
Georgoudis, Alessandro
dc.contributor.author
Zhang, Yang
dc.date.accessioned
2019-10-16T12:49:16Z
dc.date.available
2017-06-11T22:07:49Z
dc.date.available
2019-10-16T12:49:16Z
dc.date.issued
2015-12
dc.identifier.issn
1126-6708
dc.identifier.issn
1029-8479
dc.identifier.other
10.1007/JHEP12(2015)086
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/108784
dc.identifier.doi
10.3929/ethz-b-000108784
dc.description.abstract
We show that for a class of two-loop diagrams, the on-shell part of the integration-by-parts (IBP) relations correspond to exact meromorphic one-forms on algebraic curves. Since it is easy to find such exact meromorphic one-forms from algebraic geometry, this idea provides a new highly efficient algorithm for integral reduction. We demonstrate the power of this method via several complicated two-loop diagrams with internal massive legs. No explicit elliptic or hyperelliptic integral computation is needed for our method.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Scattering Amplitudes
en_US
dc.subject
Differential and Algebraic Geometry
en_US
dc.title
Two-loop integral reduction from elliptic and hyperelliptic curves
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2015-12-15
ethz.journal.title
Journal of High Energy Physics
ethz.journal.volume
2015
en_US
ethz.journal.issue
12
en_US
ethz.journal.abbreviated
J. High Energ. Phys.
ethz.pages.start
86
en_US
ethz.size
26 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.scopus
ethz.identifier.nebis
001934172
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
ethz.date.deposited
2017-06-11T22:08:08Z
ethz.source
ECIT
ethz.identifier.importid
imp593653d57c8b722155
ethz.ecitpid
pub:169799
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-18T08:43:06Z
ethz.rosetta.lastUpdated
2021-02-15T06:17:06Z
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true
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true
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