Numerical scattering amplitudes with pySecDec
DOI10.1016/j.cpc.2023.108956arXiv2305.19768MaRDI QIDQ6147776
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Publication date: 16 January 2024
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.19768
Monte Carlo methods (65C05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Numerical integration (65D30) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Loop space machines and operads in algebraic topology (55P48)
Cites Work
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- SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
- \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
- Feynman integral evaluation by a sector decomposition approach (FIESTA)
- Resolution of singularities for multi-loop integrals
- Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
- FIESTA4: optimized Feynman integral calculations with GPU support
- Concurrent Cuba
- Foundation and generalization of the expansion by regions
- FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
- A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
- FIESTA5: numerical high-performance Feynman integral evaluation
- Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces
- Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights
- High-dimensional integration: The quasi-Monte Carlo way
- SECTOR DECOMPOSITION
- An automatized algorithm to compute infrared divergent multi-loop integrals.
- Feyncalc 9.3: new features and improvements
- Tropical Feynman integration in the Minkowski regime
- Tropical Monte Carlo quadrature for Feynman integrals
- Expansion by regions with pysecdec
- Evaluation of Feynman integrals with arbitrary complex masses via series expansions
- pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
- DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
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