Expansion by regions with pysecdec

DOI10.1016/j.cpc.2021.108267zbMath1528.81004arXiv2108.10807MaRDI QIDQ6102033

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Publication date: 20 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.10807

zbMATH Keywords

numerical integrationperturbation theoryexpansionsFeynman diagramsmulti-loop

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (9)

Numerical calculation of 3-pion Coulomb scattering using scalar QED ⋮ The on-shell expansion: from Landau equations to the Newton polytope ⋮ Tropical Feynman integration in the Minkowski regime ⋮ Single-soft emissions for amplitudes with two colored particles at three loops ⋮ Intersection numbers from higher-order partial differential equations ⋮ Numerical scattering amplitudes with pySecDec ⋮ What can be measured asymptotically? ⋮ Subleading effects in soft-gluon emission at one-loop in massless QCD ⋮ Full-color three-loop three-point form factors in \(\mathcal{N} = 4\) SYM

Cites Work

• Code optimization in FORM
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• A geometric method of sector decomposition
• Analytic tools for Feynman integrals
• Resolution of singularities for multi-loop integrals
• Critical points and number of master integrals
• Master integrals with one massive propagator for the two-loop electroweak form factor
• The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
• FIESTA4: optimized Feynman integral calculations with GPU support
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• SECTOR DECOMPOSITION
• The Scattering of Light by Light
• An automatized algorithm to compute infrared divergent multi-loop integrals.
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Unnamed Item

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