QCD evolution at one percent precision

• Applicant: Professor Dr. Sven-Olaf Moch
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: from 2018 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 398146914

• Final Report Year: 2021

Final Report Abstract

We have established a framework for the computation of Mellin moments of splitting functions and DIS coefficient functions at four loops in QCD. The four-loop results for the non-singlet splitting functions Pns^(3),±,v in the planar limit are already (almost) complete as well as the contributions of the quartic Casimir invariants for the all singlet splitting functions. The results have been used to determine the DIS coefficient functions and the inclusive cross section for Higgs boson production in gluon-gluon fusion at four loops in the soft limit. The computation the remaining parts of the singlet splitting functions is ongoing work within the Research Unit FOR 2926.

Publications

• Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order, PoS LL2018 (2018), 050
  A. Vogt, F. Herzog, S. Moch, B. Ruijl, T. Ueda and J. A. M. Vermaseren
  (See online at https://doi.org/10.22323/1.303.0050)
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension, Phys. Lett. B 782 (2018) 627
  S. Moch, B. Ruijl, T. Ueda, J.A.M. Vermaseren and A. Vogt
  (See online at https://doi.org/10.1016/j.physletb.2018.06.017)
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD, Phys. Lett. B 790 (2019) 436
  F. Herzog, S. Moch, B. Ruijl, T. Ueda, J.A.M. Vermaseren and A. Vogt
  (See online at https://doi.org/10.1016/j.physletb.2019.01.060)
• High-precision computation of observables in supersymmetric Yang–Mills theory, DESY-THESIS-2019-019
  V. Chestnov
  (See online at https://doi.org/10.3204/PUBDB-2019-03009)
• Approximate four-loop QCD corrections to the Higgs-boson production cross section, Phys. Lett. B 807 (2020) 135546
  G. Das, S. Moch and A. Vogt
  (See online at https://doi.org/10.1016/j.physletb.2020.135546)
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond, JHEP 03 (2020) 116
  G. Das, S. Moch and A. Vogt
  (See online at https://doi.org/10.1007/JHEP03(2020)116)
• Hexagon bootstrap in the double scaling limit, JHEP 09 (2021) 007
  V. Chestnov and G. Papathanasiou
  (See online at https://doi.org/10.1007/JHEP09(2021)007)