FORM version 4.2

Abstract

We introduce FORM 4.2, a new minor release of the symbolic manipulation toolkit. We demonstrate several new features, such as a new pattern matching option, new output optimization, and automatic expansion of rational functions.

Cited by in corpus (41)

• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• A first look at two-loop five-gluon scattering in QCD
• Singlet-assisted electroweak phase transition at two loops
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• Non-perturbative finite-temperature Yang-Mills theory
• Event Generators for High-Energy Physics Experiments
• Wilson coefficients for Higgs boson production and decoupling relations to $\mathcal{O}\left({\alpha }_s^4\right)$
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• The Kinetic Heavy Quark Mass to Three Loops
• Two- and three-loop anomalous dimensions of Weinberg's dimension-six CP-odd gluonic operator
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• DoFun 3.0: Functional equations in Mathematica
• ..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... Efficient Hilbert Series for Effective Theories
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• The Hopf algebra structure of the $R^{\ast }$-operation
• Simplified leptoquark models for precision $l_i\to l_f\gamma$ experiments: two-loop structure of $O({\alpha }_S{Y}^2)$ corrections
• The H-graph with equal masses in terms of multiple polylogarithms
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Electroweak corrections to $e^{+}{e}^{-}\to \gamma \gamma$ as a luminosity process at FCC-ee
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Feynman integral reduction using Gröbner bases
• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Rings: an efficient Java/Scala library for polynomial rings
• $gg\to ZH$ : updated predictions at NLO QCD
• The Multi-Regge Limit from the Wilson Loop OPE
• Dark origin of quark flavor hierarchy and mixing
• Simplifying Quantum Gravity Calculations
• The lightest flavor--singlet qqq baryons as witnesses to color
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• Vector fields, RG flows and emergent gauge symmetry
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• 3-loop gauge coupling for hot gauge theories
• Massive quark form factors