Numerical Regularization for 4-loop Self-Energy Feynman Diagrams

In recent work we computed 4-loop integrals for self-energy diagrams with 11 massive internal lines. Presently we perform numerical integration and regularization for diagrams with 8 to 11 lines, while considering massive and massless cases. For dimensional regularization, a sequence of integrals is...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2023-02, Vol.2438 (1), p.12147
Main Authors: de Doncker, E, Yuasa, F, Ishikawa, T
Format: Article
Language:English
Subjects:
Computation
Feynman diagrams
Integrals
Monte Carlo simulation
Numerical integration
Numerical methods
Physics
Regularization
Thermal expansion
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In recent work we computed 4-loop integrals for self-energy diagrams with 11 massive internal lines. Presently we perform numerical integration and regularization for diagrams with 8 to 11 lines, while considering massive and massless cases. For dimensional regularization, a sequence of integrals is computed depending on a parameter ( ε ) that is incorporated via the space-time dimension, and approaches zero. We consider diagrams where the leading term in the expansion is in 1/ ε 2 or in 1/ ε or finite. The numerical integration methods include non-adaptive – double exponential, and Quasi-Monte Carlo methods with composite lattice rules implemented in CUDA C for acceleration on GPUs. The leading term coefficients in the integral expansion are obtained via linear or nonlinear extrapolation as ε tends to zero.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2438/1/012147