The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

  title={The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements},
  author={Johannes Blumlein and Peter Marquard and Carsten Schneider and Kay Schonwald},
  journal={Nuclear Physics B},

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Future high luminosity polarized deep-inelastic scattering experiments will improve both the knowledge of the spin sub-structure of the nucleons and contribute further to the precision determination

Soft integrals and soft anomalous dimensions at N3LO and beyond

We calculate soft phase-space and loop master integrals for the computation of color-singlet cross sections through N3LO in perturbative QCD. Our results are functions of homogeneous transcendental

Renormalization of twist-two operators in QCD and its application to singlet splitting functions

Splitting functions govern the scale evolution of parton distribution functions. Through a Mellin transformation, they are related to anomalous dimensions of twist-two operators in the operator

Renormalisation of singlet operators to four loops

  • G. Falcioni
  • Physics
    Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)
  • 2022
In QCD the anomalous dimensions of gauge invariant operators of twist 2 play a key role, because they control the scale dependence of the parton distribution functions. Notably, the flavour singlet

Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops

Abstract Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic

Renormalization of Non-singlet Quark Operator Matrix Elements for Deep-inelastic Scattering

We introduce a new method for calculating the mixing matrix for nonsinglet quark operators including total derivatives, based solely on their renormalization structure in the chiral limit. As input,

Nucleon spin structure functions, considering target mass correction, and higher twist effects at the NNLO accuracy and their transverse momentum dependence

Using recent and updated world data on polarized structure functions g1 and g2 we perform QCD analysis at the next-next-to-leading-order (NNLO) accuracy. We include also target mass correction and

Lepton-pair production at hadron colliders at N3LO in QCD

Abstract We compute for the first time the complete corrections at N3LO in the strong coupling constant to the inclusive neutral-current Drell-Yan process including contributions from both photon



Four-loop anomalous dimension of the third and fourth moments of the nonsinglet twist-2 operator in QCD

We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We

Polarized Electroproduction in Asymptotically Free Gauge Theories

Deep inelastic polarized electron-nucleon scattering is analyzed in asymptotically free gauge theories of the strong interactions. Anomalous dimensions of the relevant operators are calculated to