FORM version 4.0

Abstract

We present version 4.0 of the symbolic manipulation system FORM. The most important new features are manipulation of rational polynomials and the factorization of expressions. Many other new functions and commands are also added; some of them are very general, while others are designed for building specific high level packages, such as one for Groebner bases. New is also the checkpoint facility, that allows for periodic backups during long calculations. Lastly, FORM 4.0 has become available as open source under the GNU General Public License version 3.

26 pages. Uses axodraw

References in corpus (2)

• Extension of the functionality of the symbolic program FORM by external software
• About a conjectured basis for Multiple Zeta Values

Cited by in corpus (328)

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• Electroweak corrections to diphoton plus jets
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• Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD
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• The Fully-Differential Gluon Beam Function at NNLO
• The parton-level structure of $e^{+}{e}^{-}$ to 2 jets at N${}^3$LO
• On gamma_5 in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
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• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
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• Fermion Traces Without Evanescence
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• Higher dimensional Automorphic Lie Algebras
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• Soft thermal contributions to 3-loop gauge coupling
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• Leading order corrections to the Bethe-Heitler process in the $\gamma p\to l^{+}{l}^{-}p$ reaction
• NLO QCD corrections to $B_c$-pair production in photon-photon collision
• FormLink/FeynCalcFormLink : Embedding FORM in Mathematica and FeynCalc
• Hidden symmetries of the Higgs oscillator and the conformal algebra
• AutoEFT: Automated Operator Construction for Effective Field Theories
• Scattering of fermions in the Yukawa theory coupled to Unimodular Gravity
• Three-point Energy Correlators in Hadronic Higgs Decays
• Spin Polarisation of $t\bar{t}\gamma \gamma$ production at NLO+PS with GoSam interfaced to MadGraph5_aMC@NLO
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• Heavy Majorana Neutrino Production at Future $ep$ Colliders
• Calculating four-loop massless propagators with Forcer
• Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos
• NLO QCD corrections to diphoton plus jet production through graviton exchange
• Efficient numerical integration of thermal interaction rates
• Electroweak corrections to $e^{+}{e}^{-}\to \gamma \gamma$ as a luminosity process at FCC-ee
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Six-loop anomalous dimension of the ${\varphi }^Q$ operator in the $O(N)$ symmetric model
• Interference contributions to gluon initiated heavy Higgs production in the Two-Higgs-Doublet Model
• Lepton pair production in muon-nucleus scattering
• NNLO QCD corrections to $pp\to {\gamma }^{\ast }{\gamma }^{\ast }$ in the large $N_F$ limit
• Locally finite two-loop amplitudes for electroweak production through gluon fusion
• Production of dileptonic bound states in the Higgs boson decay
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Stress-energy tensor of the quantized massive fields in Schwarzschild-Tangherlini spacetimes. The back reaction
• 1-loop matching of a thermal Lorentz force
• Doubly Charged Higgs Production at Future $ep$ Colliders
• Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine ${\mathfrak{sl}}_2$ Gaudin model
• Full $\mathcal{O}(\alpha )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}\gamma$ at the ILC with GRACE-Loop
• Double Higgs Production in Vector Boson Fusion at NLO QCD in HEFT
• Diphoton production in association with two bottom jets
• Photonic production of the pair of $B_c$ mesons
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• Dimensional Regularization and Two-Loop Vacuum Polarization Operator: Master Integrals, Analytic Results and Energy Shifts
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ in the Asymptotically Safe Standard Model
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• Four-loop QCD cusp anomalous dimension at small angle
• Rings: an efficient Java/Scala library for polynomial rings
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• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering
• The {\tt Mathematica} package {\tt TopoID} and its application to the Higgs boson production cross section
• FORM, Diagrams and Topologies
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• Constraints for twist-two alien operators in QCD
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• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
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• R*-operation and five-loop calculations
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• $gg\to ZH$ : updated predictions at NLO QCD
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• Applications of the Perturbative Gradient Flow
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• Singlet and non-singlet three-loop massive form factors
• Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates
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• Nonlinear (chiral) p-form electrodynamics
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• Derivation of spontaneously broken gauge symmetry from the consistency of effective field theory II: Scalar field self-interactions and the electromagnetic interaction
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• The gradient flow formulation of the electroweak Hamiltonian
• Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group
• Complete next-to-next-to-leading order QCD corrections to the decay matrix in $\mathbf{B}$-meson mixing at leading power
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