Projects per year
We provide the all-loop structure of gauge-variant operators required for the renormalisation of Green's functions with insertions of twist-two operators in Yang-Mills theory. Using this structure we work out an explicit basis valid up to 4-loop order for an arbitrary compact simple gauge group. To achieve this we employ a generalised gauge symmetry, originally proposed by Dixon and Taylor, which arises after adding to the Yang-Mills Lagrangian also operators proportional to its equation of motion. Promoting this symmetry to a generalised BRST symmetry allows to generate the ghost operator from a single exact operator in the BRST-generalised sense. We show that our construction complies with the theorems by Joglekar and Lee. We further establish the existence of a generalised anti-BRST symmetry which we employ to derive non-trivial relations among the anomalous dimension matrices of ghost and equation-of-motion operators. For the purpose of demonstration we employ the formalism to compute the N=2,4 Mellin moments of the gluonic splitting function up to 4 loops and its N=6 Mellin moment up to 3 loops, where we also take advantage of additional simplifications of the background field formalism.
|Number of pages||43|
|Journal||Journal of High Energy Physics|
|Publication status||Published - 26 May 2022|
- BRST Quantization
- Higher-Order Perturbative Calculations
- Renormalization Group
- Renormalization and Regularization
FingerprintDive into the research topics of 'Renormalization of gluonic leading-twist Operators in covariant Gauges'. Together they form a unique fingerprint.
Forest Formulas for the LHC
1/02/20 → 31/01/24
QCD for the Future of Particle Physics
1/01/17 → 30/11/23
Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21