SecDec: A general program for sector decomposition

Abstract

We present a program for the numerical evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using iterated sector decomposition. The program evaluates the coefficients of a Laurent series in the regularisation parameter. It can be applied to multi-loop integrals in Euclidean space as well as other parametric integrals, e.g. phase space integrals.

42 pages, 12 figures. Replaced by published version. Cuba library included in the program

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Cited by in corpus (93)

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• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
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• Higgs-mass predictions in the MSSM and beyond
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• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Simplified differential equations approach for Master Integrals
• Numerical Loop-Tree Duality: contour deformation and subtraction
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• Master integrals for the four-loop Sudakov form factor
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• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Real-Virtual corrections for gluon scattering at NNLO
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• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
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• On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams
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• New Series Representations for the Two-Loop Massive Sunset Diagram
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• Manifestly Causal Loop-Tree Duality
• Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory
• The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD
• SecDec: A tool for numerical multi-loop calculations
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• CP Violating $h{W}^{+}{W}^{-}$ Coupling in the Standard Model and Beyond
• Numerical evaluation of multi-loop integrals using subtraction terms
• Machine Learning Post-Minkowskian Integrals
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Higgs plus one jet production at NNLO
• Specific three-loop contributions to $b\to s\gamma$ associated with the current-current operators
• Analytic calculation of doubly heavy hadron spectral density in coordinate space
• Top quark pairs at two loops and Reduze 2
• On the two-loop amplitude for $gg\to ZZ$ production with full top-mass dependence
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
• Numerical multi-loop calculations with SecDec
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Critical exponent $\eta$ in 2D $O(N)$-symmetric ${\phi }^4$-model up to 6~loops
• Unitarity methods for Mellin moments of Drell-Yan cross sections
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• Digluon contribution to $J/\psi$ production
• Multi-loop calculations: numerical methods and applications
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• Critical dynamics of non-conserved strongly anisotropic permutation symmetric three-vector model
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• Numerical evaluation of two-loop integrals with pySecDec
• Disentangling singularities with non-linear mappings - a new method for NNLO
• A strategy for the off-shell analysis of collinear singularities in Feynman diagrams
• A stroll through the loop-tree duality