Direct numerical evaluation of multi-loop integrals without contour deformation
Authors
Pittau, R
Webber, B
Publication Date
2021-10-25Journal Title
European Physical Journal C
ISSN
1434-6044
Publisher
Springer Science and Business Media LLC
Volume
82
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Pittau, R., & Webber, B. (2021). Direct numerical evaluation of multi-loop integrals without contour deformation. European Physical Journal C, 82 (1) https://doi.org/10.1140/epjc/s10052-022-10008-6
Abstract
We propose a method for computing numerically integrals defined via $i
\epsilon$ deformations acting on single-pole singularities. We achieve this
without an explicit analytic contour deformation. Our solution is then used to
produce precise Monte Carlo estimates of multi-scale multi-loop integrals
directly in Minkowski space. We corroborate the validity of our strategy by
presenting several examples ranging from one to three loops. When used in
connection with four-dimensional regularization techniques, our treatment can
be extended to ultraviolet and infrared divergent integrals.
Keywords
Regular Article - Theoretical Physics
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC (ST/T000694/1)
Identifiers
s10052-022-10008-6, 10008
External DOI: https://doi.org/10.1140/epjc/s10052-022-10008-6
This record's URL: https://www.repository.cam.ac.uk/handle/1810/334554
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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