Direct numerical computation and its application to the higher-order radiative corrections

The direct computation method(DCM) is developed to calculate the multi-loop amplitude for general masses and external momenta. The ultraviolet divergence is under control in dimensional regularization. In this paper we report on the progress of DCM to several scalar multi-loop integrals after the pr...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-09, Vol.1085 (5), p.52002
Main Authors: Kato, K, de Doncker, E, Ishikawa, T, Yuasa, F
Format: Article
Language:English
Subjects:
Computation
Divergence
Numerical analysis
Physics
Regularization
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Summary:The direct computation method(DCM) is developed to calculate the multi-loop amplitude for general masses and external momenta. The ultraviolet divergence is under control in dimensional regularization. In this paper we report on the progress of DCM to several scalar multi-loop integrals after the presentation in ACAT2016. Also the discussion is given on the application of DCM to physical 2-loop processes including numerator functions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1085/5/052002