The five-loop beta function of Yang-Mills theory with fermions

F Herzog, B Ruijl, T Ueda, JAM Vermaseren… - Journal of High Energy …, 2017 - Springer
A bstract We have computed the five-loop corrections to the scale dependence of the
renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to …

Four-loop non-singlet splitting functions in the planar limit and beyond

S Moch, B Ruijl, T Ueda, JAM Vermaseren… - Journal of High Energy …, 2017 - Springer
A bstract We present the next-to-next-to-next-to-leading order (N 3 LO) contributions to the
non-singlet splitting functions for both parton distribution and fragmentation functions in …

The four loop QCD rapidity anomalous dimension

I Moult, HX Zhu, YJ Zhu - Journal of High Energy Physics, 2022 - Springer
A bstract The rapidity anomalous dimension controls the scaling of transverse momentum
dependent observables in the Sudakov region. In a conformal theory it is equivalent to the …

Four-loop collinear anomalous dimensions in QCD and N= 4 super Yang-Mills

B Agarwal, A von Manteuffel, E Panzer, RM Schabinger - Physics Letters B, 2021 - Elsevier
We calculate the collinear anomalous dimensions in massless four-loop QCD and N= 4
supersymmetric Yang-Mills theory from the infrared poles of vertex form factors. We give very …

N3LO corrections to jet production in deep inelastic scattering using the Projection-to-Born method

J Currie, T Gehrmann, EWN Glover, A Huss… - Journal of High Energy …, 2018 - Springer
A bstract Computations of higher-order QCD corrections for processes with exclusive final
states require a subtraction method for real-radiation contributions. We present the first-ever …

Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering

J Davies, CH Kom, S Moch, A Vogt - Journal of High Energy Physics, 2022 - Springer
A bstract We present a comprehensive study of high-energy double logarithms in inclusive
DIS. They appear parametrically as\({\alpha} _s^ n\) ln 2n− kx at the n-th order in …

Soft corrections to inclusive deep-inelastic scattering at four loops and beyond

G Das, SO Moch, A Vogt - Journal of High Energy Physics, 2020 - Springer
A bstract We study the threshold corrections for inclusive deep-inelastic scattering (DIS) and
their all-order resummation. Using recent results for the QCD form factor, related anomalous …

Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles

R Brüser, A Grozin, JM Henn, M Stahlhofen - Journal of High Energy …, 2019 - Springer
A bstract We compute the fermionic contributions to the cusp anomalous dimension in QCD
at four loops as an expansion for small cusp angle. As a byproduct we also obtain the …

[HTML][HTML] Absence of π2 terms in physical anomalous dimensions in DIS: Verification and resulting predictions

J Davies, A Vogt - Physics Letters B, 2018 - Elsevier
We study the higher-order corrections to structure functions in inclusive deep-inelastic
scattering (DIS) in massless perturbative QCD, in the context of the conjectured absence of …

[HTML][HTML] Basis transformation properties of anomalous dimensions for hard exclusive processes

S Van Thurenhout - Nuclear Physics B, 2024 - Elsevier
When considering the renormalization of composite operators for the description of hard
exclusive scattering processes, two types of operator basis called the derivative basis and …