Three-loop anomalous dimensions of leading-twist operators in the Gross-Neveu-Yukawa model
Abstract
We compute the anomalous dimensions of the leading-twist operators at three-loop level in the MS̅ scheme in the Gross-Neveu-Yukawa model. Calculations are done for a number of low-spin operators using computer algebra systems, and the analytical form is reconstructed by solving a set of Diophantine equations. Calculations are optimized using the emergent supersymmetry of the corresponding generalized theory. For the obtained results, we perform a comprehensive analysis at the critical point, including a comparison with the 1/N expansion, a check of the generalized Gribov-Lipatov reciprocity, and an analysis of the behavior next to the rightmost singularity. The latter allows us to extract the values of Regge intercepts for all the leading-twist trajectories in the form of an ε expansion.
Related
- Leading Yukawa terms in the three-loop anomalous dimension and four-loop β-function of cal N=1 supersymmetric theories for various renormalization prescriptions
- Next-to-Leading-Order Multi-Jet Merging of Higgs Boson Production via Vector Boson Fusion in the Presence of Anomalous Couplings
- Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
- Four-loop anomalous dimensions of scalar-QED theory from operator product expansion
- Heavy-quark expansion at leading power for local QCD operators in gradient flow
BibTeX
@misc{chakraborty2026threeloop,
title = {{Three-loop anomalous dimensions of leading-twist operators in the Gross-Neveu-Yukawa model}},
author = {Mrigankamauli Chakraborty and Leonid A. Shumilov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.34323},
eprint = {2609.34323},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.34323},
}
RIS
TY - UNPB
TI - Three-loop anomalous dimensions of leading-twist operators in the Gross-Neveu-Yukawa model
AU - Mrigankamauli Chakraborty
AU - Leonid A. Shumilov
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.34323
UR - https://arxiv.org/abs/2609.34323
AB - We compute the anomalous dimensions of the leading-twist operators at three-loop level in the MS̅ scheme in the Gross-Neveu-Yukawa model. Calculations are done for a number of low-spin operators using computer algebra systems, and the analytical form is reconstructed by solving a set of Diophantine equations. Calculations are optimized using the emergent supersymmetry of the corresponding generalized theory. For the obtained results, we perform a comprehensive analysis at the critical point, including a comparison with the 1/N expansion, a check of the generalized Gribov-Lipatov reciprocity, and an analysis of the behavior next to the rightmost singularity. The latter allows us to extract the values of Regge intercepts for all the leading-twist trajectories in the form of an ε expansion.
ER -