FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

Abstract

The goal of this paper is to present a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This version presents features like cluster-parallelization, new asymptotic expansion algorithms, calculations in physical regions, new sector-decomposition strategies, as well as multiple speed, memory, and stability improvements.

References in corpus (12)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• Expansion by regions: revealing potential and Glauber regions automatically
• SecDec: A general program for sector decomposition
• Geometric approach to asymptotic expansion of Feynman integrals
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• Evaluating single-scale and/or non-planar diagrams by differential equations
• Blowing up Feynman integrals
• Semi-numerical power expansion of Feynman integrals
• SecDec: A tool for numerical multi-loop calculations
• Numerical evaluation of massive multi-loop integrals with SecDec

Cited by in corpus (94)

• New Developments in FeynCalc 9.0
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• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Collider Physics at the Precision Frontier
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• A quasi-finite basis for multi-loop Feynman integrals
• Higgs boson pair production: top quark mass effects at NLO and NNLO
• Evaluating single-scale and/or non-planar diagrams by differential equations
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Feynman integrals and hyperlogarithms
• FIESTA5: numerical high-performance Feynman integral evaluation
• Complete electroweak two-loop corrections to Z boson production and decay
• A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• The two-loop electroweak bosonic corrections to ${\sin }^2{\theta }_{\mathrm{eff}}^{\mathrm{b}}$
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• Three-loop master integrals for ladder-box diagrams with one massive leg
• The two-loop energy-momentum tensor within the gradient-flow formalism
• Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Tropical Monte Carlo quadrature for Feynman integrals
• Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level
• Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production
• Can NRQCD explain the $\gamma {\gamma }^{\ast }\to {\eta }_c$ transition form factor data?
• The perturbative QCD gradient flow to three loops
• Numerical Scattering Amplitudes with pySecDec
• Master integrals for the four-loop Sudakov form factor
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to HZ$ at Higgs factory
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Local integrands for two-loop all-plus Yang-Mills amplitudes
• Efficient Numerical Evaluation of Feynman Integral
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium
• Four-loop wave function renormalization in QCD and QED
• The on-shell expansion: from Landau equations to the Newton polytope
• Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order
• Electron contribution to the muon anomalous magnetic moment at four loops
• Results and techniques for higher order calculations within the gradient-flow formalism
• Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays
• Numerical multi-loop integrals and applications
• Next-to-next-to-leading-order QCD corrections to ${\chi }_{c0,2}\to \gamma \gamma$
• 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
• CosmoFlow: Python Package for Cosmological Correlators
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
• One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form
• Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
• Analytical two-loop soft mass terms of sfermions in Extended GMSB models
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• HepLib: A C++ Library for High Energy Physics
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Hadronic vacuum polarization using gradient flow
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics
• Feynman Integrals from Positivity Constraints
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• Systematic approximation of multi-scale Feynman integrals
• NNLO QCD corrections to $pp\to {\gamma }^{\ast }{\gamma }^{\ast }$ in the large $N_F$ limit
• Scale-Fixed Predictions for $\gamma +{\eta }_c$ production in electron-positron collisions at NNLO in perturbative QCD
• Expansion by regions meets angular integrals
• Higher order hadronic and leptonic contributions to the muon $g-2$
• Learning Feynman integrals from differential equations with neural networks
• Next-to-leading-order QCD corrections to a vector bottomonium radiative decay into a charmonium
• Machine Learning Post-Minkowskian Integrals
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Expansion by regions with pySecDec
• From perturbative calculations of the QCD static potential towards four-loop pole-running heavy quarks masses relation
• General $\epsilon$-representation for scalar one-loop Feynman integrals
• Non-relativistic high-energy physics: top production and dark matter annihilation
• ftint: Calculating gradient-flow integrals with pySecDec
• 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
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• On multi-propagator angular integrals
• Correction to the energy spectrum of ${}^1{S}_0$ heavy quarkonia due to two-gluon annihilation effect
• Critical properties of three-dimensional many-flavour QEDs
• Applications of the Perturbative Gradient Flow
• Numerical evaluation of multi-loop integrals
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• Four-loop relation between the $\overline{\mathrm{MS}}$ and on-shell quark mass
• Numerical multi-loop calculations: tools and applications
• Mass shifts of ${}^3{P}_J$ heavy quarkonia due to the effect of two-gluon annihilation