First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
FORM version 4.0
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
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.
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background 2
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citation-polarity summary
representative citing papers
Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new small-x logarithmic structure.
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff regularization.
The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
Perturbative fragmentation functions approximate ttH production at NLO and yield reliable results in the hybrid prescription at LHC energies.
Photon inverse emission contributes to forward-backward asymmetry in LHC dilepton production, quantified via numerical analysis and additive relative corrections in high-mass kinematic regions.
citing papers explorer
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A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons
First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.
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Properties and implications of the four-loop non-singlet splitting functions in QCD
Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new small-x logarithmic structure.
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Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
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$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff regularization.
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A superintegrable quantum field theory
The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.
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Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
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Top-associated Higgs-boson production using perturbative fragmentation functions at next-to-leading-order
Perturbative fragmentation functions approximate ttH production at NLO and yield reliable results in the hybrid prescription at LHC energies.
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Influence of Photon Inverse Emission on Forward-Backward Asymmetry in Dilepton Production at the LHC
Photon inverse emission contributes to forward-backward asymmetry in LHC dilepton production, quantified via numerical analysis and additive relative corrections in high-mass kinematic regions.