529 citations · 2.6k across the 55 of their papers we have counts for
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DIS coefficient functions at four loops in QCD and beyond
S. Moch, B. Ruijl, T. Ueda +2
We report results for the lowest even- moments of the flavor-nonsinglet structure functions and in QCD at the fourth order in the perturbative expansion in the stron…
Low moments of the four-loop splitting functions in QCD
S. Moch, B. Ruijl, T. Ueda +2
We have computed the four lowest even-N moments of all four splitting functions for the evolution of flavour-singlet parton densities of hadrons at the fourth order in the strong c…
Higgs triplet extension of GRACE
Yusaku Kouda, Tadashi Kon, Yoshimasa Kurihara +1
Much theoretical effort and automatization are required to confront new physics models with experimental data for many types of particle reactions at future colliders. In this cont…
Non-global logarithms in hadron collisions at
Yoshitaka Hatta, Takahiro Ueda
We calculate the rapidity gap survival probability associated with the Higgs decay and Higgs plus dijet production in proton-proton collisions by resumming the leading non-global l…
QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider
Yoshitaka Hatta, Niklas Mueller, Takahiro Ueda +1
Diffractive dijet production at the electron-ion collider (EIC) has been proposed to study the gluon Wigner distribution at small-. We investigate the soft gluon radiation assoc…
Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
F. Herzog, S. Moch, B. Ruijl +3
We present the first calculations of next-to-next-to-next-to-next-to-leading order (N^4LO) contributions to anomalous dimensions of spin-N twist-2 operators in perturbative QCD. Sp…
Double Higgs boson production at colliders in the two-Higgs-doublet model
Tadashi Kon, Takuto Nagura, Takahiro Ueda +1
We study the double Higgs boson production processes () with being the 125 GeV Higgs boson in the two-Higgs-doublet model with a softly-broken…
Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order
A. Vogt, F. Herzog, S. Moch +3
We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative…
On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
S. Moch, B. Ruijl, T. Ueda +2
We have computed the contributions of the quartic Casimir invariants to the four-loop anomalous dimensions of twist-2 spin-N operators at N =< 16. The results provide new informati…
Four-loop results on anomalous dimensions and splitting functions in QCD
A. Vogt, S. Moch, B. Ruijl +2
We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in th…
R*-operation and five-loop calculations
B. Ruijl, F. Herzog, T. Ueda +2
We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide…
FORM version 4.2
Ben Ruijl, Takahiro Ueda, Jos Vermaseren
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…
Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
S. Moch, B. Ruijl, T. Ueda +2
We present the next-to-next-to-next-to-leading order (N^3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in pertur…
On Higgs decays to hadrons and the R-ratio at N^4LO
F. Herzog, B. Ruijl, T. Ueda +2
We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and ma…
Beam polarization effects on top-pair production at the ILC
Nhi M. U. Quach, Yoshimasa Kurihara, Khiem H. Phan +1
Full one-loop electroweak-corrections for an process associated with sequential decay are discussed. At the one-loop level, the…
ISR effects on loop corrections of a top pair-production at the ILC
Junpei Fujimot, Yoshimasa Kurihara, Nhi M. U. Quach
Precise predictions for an cross-section are presented in the energy region from 400 GeV to 800 GeV. Cross-sections are estimated including the beam-po…
Four-loop QCD propagators and vertices with one vanishing external momentum
B. Ruijl, T. Ueda, J. A. M. Vermaseren +1
We have computed the self-energies and a set of three-particle vertex functions for massless QCD at the four-loop level in the MSbar renormalization scheme. The vertex functions ar…
Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams
B. Ruijl, T. Ueda, J. A. M. Vermaseren
We explain the construction of Forcer, a FORM program for the reduction of four-loop massless propagator-type integrals to master integrals. The resulting program performs parametr…
The five-loop beta function of Yang-Mills theory with fermions
F. Herzog, B. Ruijl, T. Ueda +2
We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge t…
Large-nf Contributions to the Four-Loop Splitting Functions in QCD
J. Davies, A. Vogt, B. Ruijl +2
We have computed the fourth-order nf^2 contributions to all three non-singlet quark-quark splitting functions and their four nf^3 flavour-singlet counterparts for the evolution of…
Wigner, Husimi and GTMD distributions in the Color Glass Condensate
Yoshikazu Hagiwara, Yoshitaka Hatta, Takahiro Ueda
We study the phase space distributions of gluons inside a nucleon/nucleus in the small- regime including the gluon saturation effect. This can be done by using the relation betw…
FORM, Diagrams and Topologies
Franz Herzog, Ben Ruijl, Takahiro Ueda +2
We discuss a number of FORM features that are essential in the automatic processing of very large numbers of diagrams as used in the Forcer program for 4-loop massless propagator d…
Forcer: a FORM program for 4-loop massless propagators
T. Ueda, B. Ruijl, J. A. M. Vermaseren
We present a new FORM program for analytically evaluating four-loop massless propagator-type Feynman integrals in an efficient way. Our program Forcer implements parametric reducti…
First Forcer results on deep-inelastic scattering and related quantities
B. Ruijl, T. Ueda, J. A. M. Vermaseren +2
We present results on the fourth-order splitting functions and coefficient functions obtained using Forcer, a four-loop generalization of the Mincer program for the parametric redu…