Three-loop anomalous dimensions of fixed-charge operators in the SM

• Published in: Physics letters. B Vol. 852; p. 138615
• Main Author: Bednyakov, A.V.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-05-2024; Elsevier
• Subjects: Large-charge expansion; Quantum field theory; The SM; Quantum field theory; The SM; Large-charge expansion
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2024.138615

In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge Q within the Standard Model. We carry out explicit computation of the corresponding anomalous dimensions up to the three-loop order. In spite of the fact that our result is gauge-dependent, in the Landau gauge and in the limit of vanishing weak isospin coupling the expression can be matched to recent gauge-independent computation based on the large-charge method. Our result serves an important and non-trivial cross-check of new developments in large-charge expansion and applications of the latter to realistic gauge theories. We not only confirm the leading and subleading terms in perturbative Q expansion up to three loops, but also provide the expressions for sub-subleading coefficients that at the moment are not captured by the large-charge approach.