SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop

Abstract

SecDec is a program which can be used for the factorization of dimensionally regulated poles from parametric integrals, in particular multi-loop integrals, and the subsequent numerical evaluation of the finite coefficients. Here we present version 3.0 of the program, which has major improvements compared to version 2: it is faster, contains new decomposition strategies, an improved user interface and various other new features which extend the range of applicability.

46 pages, version to appear in Comput.Phys.Comm

References in corpus (18)

• FIRE5: a C++ implementation of Feynman Integral REduction
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• SecDec: A general program for sector decomposition
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• A quasi-finite basis for multi-loop Feynman integrals
• QCD corrections to tri-boson production
• On hyperlogarithms and Feynman integrals with divergences and many scales
• Numerical NLO QCD calculations
• Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• NLO QCD corrections to the production of t-tbar-Z in gluon fusion
• Evaluation of multi-loop multi-scale integrals and phenomenological two-loop applications
• Sector decomposition via computational geometry

Cited by in corpus (140)

• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• FIESTA 4: optimized Feynman integral calculations with GPU support
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Higgs boson pair production at NNLO with top quark mass effects
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
• Pentagon functions for massless planar scattering amplitudes
• Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
• Collider Physics at the Precision Frontier
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
• All master integrals for three-jet production at NNLO
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
• Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
• FIESTA5: numerical high-performance Feynman integral evaluation
• Complete electroweak two-loop corrections to Z boson production and decay
• Multiloop corrections for collider processes using auxiliary mass flow
• Analytic results for the planar double box integral relevant to top-pair production with a closed top loop
• A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
• An Analytical Method for the NLO QCD Corrections to Double-Higgs Production
• Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
• Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects
• The two-loop electroweak bosonic corrections to ${\sin }^2{\theta }_{\mathrm{eff}}^{\mathrm{b}}$
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Determining Feynman integrals with only input from linear algebra
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• Probing the scalar potential via double Higgs boson production at hadron colliders
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Tropical Monte Carlo quadrature for Feynman integrals
• Constraints on the quartic Higgs self-coupling from double-Higgs production at future hadron colliders
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Targeting Multi-Loop Integrals with Neural Networks
• Two loop correction to interference in $gg\to ZZ$
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors
• Universal four-dimensional representation of $H\to \gamma \gamma$ at two loops through the Loop-Tree Duality
• Feynman Polytopes and the Tropical Geometry of UV and IR Divergences
• Algorithms and tools for iterated Eisenstein integrals
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Numerical Scattering Amplitudes with pySecDec
• Master integrals for the four-loop Sudakov form factor
• On the status of expansion by regions
• Mixed QCD-EW corrections for Higgs boson production at $e^{+}{e}^{-}$ colliders
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
• Efficient Numerical Evaluation of Feynman Integral
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• A non-linear EFT description of $gg\to HH$ at NLO interfaced to POWHEG
• Generic dijet soft functions at two-loop order: correlated emissions
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Muon-electron scattering at NNLO
• Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Causal representation of multi-loop Feynman integrands within the loop-tree duality
• Towards next-to-next-to-leading-log accuracy for the width difference in the $B_s-{\bar{B}}_s$ system: fermionic contributions to order $(m_c/m_b{)}^0$ and $(m_c/m_b{)}^1$
• A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
• Loop-tree duality from vertices and edges
• NNLO QCD Corrections to $\gamma +{\eta }_c({\eta }_b)$ Exclusive Production in Electron-Positron Collision
• Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
• Numerical multi-loop integrals and applications
• NNLO virtual and real leptonic corrections to muon-electron scattering
• High-Energy Expansion of Two-Loop Massive Four-Point Diagrams
• Two Loop Neutrino Model with Dark Matter and Leptogenesis
• Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion
• Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a $W$ pair and to the triple gauge couplings $ZWW$ and ${\gamma }^{\ast }WW$
• The Lightest Higgs Boson Mass of the MSSM at Three-Loop Accuracy
• Exact NLO Matching and Analyticity in $b\to s\ell \ell$
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter
• Efficient Evaluation of Massive Mellin--Barnes Integrals
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Fiducial cross sections for the four-lepton decay mode in Higgs-plus-jet production up to NNLO QCD
• TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
• Analytical two-loop soft mass terms of sfermions in Extended GMSB models
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• HepLib: A C++ Library for High Energy Physics
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Computational challenges for multi-loop collider phenomenology
• Comparison of the EFT Hybrid and Three-Loop Fixed-Order Calculations of the Lightest MSSM Higgs Boson Mass
• EasyScan_HEP: a tool for connecting programs to scan the parameter space of physics models
• New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics
• Numerical implementation of the Loop-Tree Duality method
• Feynman Integrals from Positivity Constraints
• Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• QCD calculations for the LHC: status and prospects
• Massive two-loop four-point Feynman integrals at high energies with AsyInt
• Systematic approximation of multi-scale Feynman integrals
• Four-dimensional representation of scattering amplitudes and physical observables through the application of the Loop-Tree Duality theorem
• Learning Feynman integrals from differential equations with neural networks
• A novel approach to the computation of one-loop three- and four-point functions. I -- The real mass case
• Machine Learning Post-Minkowskian Integrals
• Expansion by regions with pySecDec
• General $\epsilon$-representation for scalar one-loop Feynman integrals
• Specific three-loop contributions to $b\to s\gamma$ associated with the current-current operators
• Improved analysis of the (O_7, O_7) contribution to $\bar{B}\to X_s\gamma \gamma$ at $O({\alpha }_s)$
• Five-loop massive tadpoles
• Probing anomalous Higgs boson couplings in Higgs plus jet production at NLO QCD with full $m_t$-dependence
• NNLO QED contribution to the $\mu e\to \mu e$ elastic scattering
• A novel approach to the computation of one-loop three- and four-point functions. II - The complex mass case
• Computer algebra calculations in supersymmetric electrodynamics
• Master Integrals for Electroweak corrections to $gg\to \gamma \gamma$ -- Light quark contributions
• Next-to-Leading Order Corrections to Higgs Boson Pair Production in Gluon Fusion
• The nonplanar cusp and collinear anomalous dimension at four loops in $\mathcal{N}=4$ SYM theory
• Scalar one-loop Feynman integrals with complex internal masses revisited
• Top-quark mass effects in H+jet and H+2 jets production
• Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
• Digluon contribution to $J/\psi$ production
• Two-loop gradient-flow renormalization of scalar QCD
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• Multi-loop calculations: numerical methods and applications
• Framework for a novel mixed analytical/numerical approach for the computation of two-loop $N$-point Feynman diagrams
• Track 3: Computations in theoretical physics -- techniques and methods
• Unitarity methods for Mellin moments of Drell-Yan cross sections
• Numerical multi-loop calculations: tools and applications
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• First Numerical Implementation of the Loop-Tree Duality Method
• Numerical evaluation of multi-loop integrals
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Brief description of the flavor-changing neutral scalar interactions at two-loop level
• Two-photon exchange in leptophilic dark matter scenarios
• Two-loop scalar functions with $I$ internal lines, $I\le 5$
• The Loop-Tree Duality: Progress Report
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Numerical evaluation of two-loop integrals with pySecDec
• A new approach for amplitudes with multiple fermion lines
• Higher order and top mass effects in Higgs boson pair production beyond the Standard Model
• Top quark mass effects in HJ production at NLO
• Scalar one-loop four-point Feynman integrals with complex internal masses