FIESTA 4: optimized Feynman integral calculations with GPU support

Abstract

This paper presents a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). The new release is mainly aimed at optimal performance at large scales when one is increasing the number of sampling points in order to reduce the uncertainty estimates. The release now supports graphical processor units (GPU) for the numerical integration, methods to optimize cluster-usage, as well as other speed, memory, and stability improvements.

arXiv admin note: substantial text overlap with arXiv:1312.3186

References in corpus (10)

• Quark mass relations to four-loop order
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• 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
• Blowing up Feynman integrals
• SecDec: A tool for numerical multi-loop calculations
• Numerical evaluation of massive multi-loop integrals with SecDec

Cited by in corpus (173)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Pentagon functions for massless planar scattering amplitudes
• Collider Physics at the Precision Frontier
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• A first look at two-loop five-gluon scattering in QCD
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• FIESTA5: numerical high-performance Feynman integral evaluation
• Multiloop corrections for collider processes using auxiliary mass flow
• Complete renormalization of QCD at five loops
• Loop Tree Duality for multi-loop numerical integration
• Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
• Double Higgs boson production at NLO in the high-energy limit: complete analytic results
• Two-Loop Integrals for Planar Five-Point One-Mass Processes
• Solving differential equations for Feynman integrals by expansions near singular points
• Matter dependence of the four-loop cusp anomalous dimension
• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• Analytic result for the nonplanar hexa-box integrals
• Determining Feynman integrals with only input from linear algebra
• The Three-loop Quark Jet Function
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• Double Higgs boson production at NLO: combining the exact numerical result and high-energy expansion
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• Four-loop quark form factor with quartic fundamental colour factor
• Evaluation of Feynman integrals with arbitrary complex masses via series expansions
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Universal four-dimensional representation of $H\to \gamma \gamma$ at two loops through the Loop-Tree Duality
• Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Double-Higgs boson production in the high-energy limit: planar master integrals
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems
• Numerical Scattering Amplitudes with pySecDec
• On the status of expansion by regions
• Small-mass effects in heavy-to-light form factors
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Local integrands for two-loop all-plus Yang-Mills amplitudes
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
• Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• The complete set of two-loop master integrals for Higgs + jet production in QCD
• Causal representation of multi-loop Feynman integrands within the loop-tree duality
• The on-shell expansion: from Landau equations to the Newton polytope
• Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
• Loop-tree duality from vertices and edges
• Analytic results for planar three-loop integrals for massive form factors
• 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
• Quark and gluon form factors in four loop QCD: the $N_f^2$ and $N_{q\gamma }{N}_f$ contributions
• Two-loop amplitudes for processes $gg\to Hg,qg\to Hq$ and $q\bar{q}\to Hg$ at large Higgs transverse momentum
• Critical exponents from five-loop scalar theory renormalization near six-dimensions
• Subleading Regge limit from a soft anomalous dimension
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
• Planar three-loop master integrals for $2\to 2$ processes with one external massive particle
• Full-color three-loop three-point form factors in N=4 SYM
• Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
• Two-loop mixed QCD-EW corrections to $gg\to Hg$
• A study of Feynman integrals with uniform transcendental weights and the symbology from dual conformal symmetry
• Bilinear quark operators in the RI/SMOM scheme at three loops
• Top-Yukawa contributions to bbH production at the LHC
• Three-loop soft function for heavy-to-light quark decays
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• Efficient Evaluation of Massive Mellin--Barnes Integrals
• Bootstrapping a Two-Loop Four-Point Form Factor
• Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator
• Two-Loop Massive Quark Jet Functions in SCET
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Contribution of third generation quarks to two-loop helicity amplitudes for W boson pair production in gluon fusion
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
• Leaks of CP violation in the real two-Higgs doublet model
• Pentagon integrals to arbitrary order in the dimensional regulator
• Massive kite diagrams with elliptics
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}H$ at CEPC with finite-width effect
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Next-to-leading-order QCD corrections to $e^{+}{e}^{-}\to H+\gamma$
• The Compton Scattering Total Cross Section at Next-to-Leading Order
• Two-loop QCD penguin contribution to the width difference in $B_s-{\bar{B}}_s$ mixing
• Two-photon-exchange effects in the unpolarized $\mu p$ scattering within the hadronic model
• Matching coefficients in NRQCD to two-loop accuracy
• Virtual Delbrück scattering and the Lamb shift in light hydrogen-like atoms
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• HepLib: A C++ Library for High Energy Physics
• Cutting massless four-loop propagators
• Analytic two-loop master integrals for $tW$ production at hadron colliders: I
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• Hadronic vacuum polarization using gradient flow
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Evaluating four-loop conformal Feynman integrals by D-dimensional differential equations
• New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics
• Master integrals of a planar double-box family for top-quark pair production
• Asymptotic analysis of Feynman diagrams and their maximal cuts
• Resummation methods for Master Integrals
• Feynman Integrals from Positivity Constraints
• Mellin-Barnes meets Method of Brackets: A novel approach to Mellin-Barnes representations of Feynman integrals
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• Non-planar elliptic vertex
• Expansion by regions meets angular integrals
• Three-loop non-singlet matching coefficients for heavy quark currents
• Learning Feynman integrals from differential equations with neural networks
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Master integrals for bipartite cuts of three-loop photon self energy
• Three-loop planar master integrals for heavy-to-light form factors
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Machine Learning Post-Minkowskian Integrals
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Expansion by regions with pySecDec
• Four-loop HQET propagators from the DRA method
• Complete two-loop QCD amplitudes for $tW$ production at hadron colliders
• Three-loop soft function for energetic electroweak boson production at hadron colliders
• A high-precision result for a full-color three-loop three-point form factor in $\mathcal{N}=4$ SYM
• Evaluating the last missing ingredient for the three-loop quark static potential by differential equations
• Tensor-Train Numerical Integration of Multivariate Functions with Singularities
• TASI 2020 Lectures on Precision Tests of the Standard Model
• Five-loop massive tadpoles
• Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• One-loop pentagon integral with one offshell leg in $d$ dimensions from differential equations in $\epsilon$-form
• ftint: Calculating gradient-flow integrals with pySecDec
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
• Decay widthes of ${}^3{P}_J$ charmonium to $DD,D{D}^{\ast },D^{\ast }{D}^{\ast }$ and corresponding mass shifts of ${}^3{P}_J$ charmonium
• The nonplanar cusp and collinear anomalous dimension at four loops in $\mathcal{N}=4$ SYM theory
• Computer algebra calculations in supersymmetric electrodynamics
• Two-loop master integrals for a planar and a non-planar topology relevant for single top production
• Correction to the energy spectrum of ${}^1{S}_0$ heavy quarkonia due to two-gluon annihilation effect
• On multi-propagator angular integrals
• Multi-loop calculations: numerical methods and applications
• NNLO mixed EW-QCD corrections to single vector boson production
• Two-loop non-planar hexa-box integrals with one massive leg
• $Z_H\to H^0\gamma$ decay within the littlest Higgs model at $\mathcal{O}({\alpha }_{\mathrm{ew}}^3{\alpha }_s)$ accuracy
• Three loop QCD corrections to heavy quark form factors
• Massive Two-Loop Heavy Particle Diagrams
• Numerical evaluation of multi-loop integrals
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• Mass shifts of ${}^3{P}_J$ heavy quarkonia due to the effect of two-gluon annihilation
• One-loop Feynman integrals for $2\to 3$ scattering involving many scales including internal masses
• Three-loop color-kinematics duality: A 24-dimensional solution space induced by new generalized gauge transformations
• Causal representation and numerical evaluation of multi-loop Feynman integrals
• Integral representation for three-loop banana graph
• A new approach for amplitudes with multiple fermion lines
• Numerical evaluation of two-loop integrals with pySecDec
• Analytic results for two-loop planar master integrals for Bhabha scattering
• Two-loop scalar functions with $I$ internal lines, $I\le 5$
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Master integrals for two-loop $C$-odd contribution to $e^{+}{e}^{-}\to {\ell }^{+}{\ell }^{-}$ process