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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Four-loop anomalous dimensions of scalar-QED theory from operator product expansion

  • Rijun Huang1
  • Qingjun Jin2
  • Yi Li3
  1. 1Nanjing Normal University
  2. 2Haidian District
  3. 3Hubei University
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Abstract

A bstract : We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator ϕ Q . Within the OPE framework, the anomalous dimension of the ϕ Q operator is perturbatively computed to four-loop order in the modified minimal subtraction scheme, extending beyond the previously available three-loop result. The beta functions, as well as the mass and field anomalous dimensions, are also computed at this order. An alternative loop-integrand construction method is proposed, based on graph decomposition and skeleton expansion techniques, for deriving the integrands of one-Particle-Irreducible correlation functions. This work represents the first non-trivial validation of the OPE algorithm for higher-loop renormalization beyond pure scalar theories. The present successful computations further confirm the efficiency and versatility of the OPE algorithm in renormalization analysis.

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Cite

BibTeXRIS
BibTeX
@article{huang2026fourloop,
  title = {{Four-loop anomalous dimensions of scalar-QED theory from operator product expansion}},
  author = {Rijun Huang and Qingjun Jin and Yi Li},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)192},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)192},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Four-loop anomalous dimensions of scalar-QED theory from operator product expansion
AU  - Rijun Huang
AU  - Qingjun Jin
AU  - Yi Li
PY  - 2026
DA  - 2026/10/16
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)192
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)192
AB  - A bstract : We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator ϕ Q . Within the OPE framework, the anomalous dimension of the ϕ Q operator is perturbatively computed to four-loop order in the modified minimal subtraction scheme, extending beyond the previously available three-loop result. The beta functions, as well as the mass and field anomalous dimensions, are also computed at this order. An alternative loop-integrand construction method is proposed, based on graph decomposition and skeleton expansion techniques, for deriving the integrands of one-Particle-Irreducible correlation functions. This work represents the first non-trivial validation of the OPE algorithm for higher-loop renormalization beyond pure scalar theories. The present successful computations further confirm the efficiency and versatility of the OPE algorithm in renormalization analysis.
SN  - 1029-8479
ER  -