\textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams
From MaRDI portal
Publication:6044792
DOI10.1016/j.cpc.2020.107198arXiv1704.06650OpenAlexW3004692219MaRDI QIDQ6044792
No author found.
Publication date: 22 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06650
Related Items (28)
Two spinning Konishi operators at three loops. ⋮ Protected and uniformly transcendental ⋮ Non-linear non-renormalization theorems ⋮ On the Landau-Khalatnikov-Fradkin transformation in quenched \(\text{QED}_3\) ⋮ Four-loop splitting functions in QCD -- the quark-quark case ⋮ Zimmermann's forest formula, infrared divergences and the QCD beta function ⋮ FMFT: fully massive four-loop tadpoles ⋮ \texttt{tapir}: a tool for topologies, amplitudes, partial fraction decomposition and input for reductions ⋮ Four-loop non-singlet splitting functions in the planar limit and beyond ⋮ The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge ⋮ Five-loop renormalisation of QCD in covariant gauges ⋮ Collider physics at the precision frontier ⋮ Critical exponents from five-loop scalar theory renormalization near six-dimensions ⋮ Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in \(\mathcal{N} = 4\) SYM theory ⋮ Renormalization of non-singlet quark operator matrix elements for off-forward hard scattering ⋮ Renormalization and non-renormalization of scalar EFTs at higher orders ⋮ Four-loop QCD propagators and vertices with one vanishing external momentum ⋮ Review of electron-electron interaction effects in planar Dirac liquids ⋮ On ambiguities and divergences in perturbative renormalization group functions ⋮ Low moments of the four-loop splitting functions in QCD ⋮ General gauge-Yukawa-quartic \(\beta\)-functions at 4-3-2-loop order ⋮ Renormalization of the axial current operator in dimensional regularization at four-loop in QCD ⋮ Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops ⋮ Renormalization of gluonic leading-twist operators in covariant gauges ⋮ Kira -- a Feynman integral reduction program ⋮ Integration-by-Parts: A Survey ⋮ Some Steps Towards Improving IBP Calculations and Related Topics ⋮ Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD
Cites Work
- The diamond rule for multi-loop Feynman diagrams
- FIRE5: a C++ implementation of Feynman integral REduction
- Algorithm FIRE-Feynman integral reduction
- Master integrals for four-loop massless propagators up to weight twelve
- A practical criterion of irreducibility of multi-loop Feynman integrals
- FORM version 4.0
- Large-\(n_{f}\) contributions to the four-loop splitting functions in QCD
- \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
- Four loop massless propagators: an algebraic evaluation of all master integrals
- The \(R^{\ast}\)-operation for Feynman graphs with generic numerators
- Four-loop QCD propagators and vertices with one vanishing external momentum
- The three-loop splitting functions in QCD: the non-singlet case
- The three-loop splitting functions in QCD: the singlet case
- The four-loop QCD \(\beta\)-function and anomalous dimensions
- The three-loop splitting functions in QCD: the helicity-dependent case
- The five-loop beta function of Yang-Mills theory with fermions
- Automatic Feynman graph generation
- GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
This page was built for publication: \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams