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

@article{Blumlein2021TheTU, 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}, year={2021} }

## 26 Citations

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

- PhysicsJournal of High Energy Physics
- 2022

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…

### The two-loop massless off-shell QCD operator matrix elements to finite terms

- PhysicsNuclear Physics B
- 2022

### Soft integrals and soft anomalous dimensions at N3LO and beyond

- PhysicsJournal of High Energy Physics
- 2022

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

- Physics, MathematicsProceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)
- 2022

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

- PhysicsProceedings 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

- PhysicsJournal of High Energy Physics
- 2022

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

- PhysicsActa Physica Polonica B Proceedings Supplement
- 2022

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

- Physics
- 2022

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

- PhysicsJournal of High Energy Physics
- 2022

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…

## References

SHOWING 1-10 OF 145 REFERENCES

### Anomalous dimension of non-singlet Wilson operators at O(1Nf in deep inelastic scattering

- Physics
- 1994

### Five-loop contributions to low-N non-singlet anomalous dimensions in QCD

- PhysicsPhysics Letters B
- 2019

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

- Physics
- 2014

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

- Mathematics
- 1975

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…