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Статья

Bednyakov, A.
Three-Loop Anomalous Dimensions of Fixed-Charge Operators in the SM / A.Bednyakov // Physics Letters B [Electronic resource]. – 2024. – Vol. 852. – P. 138615. – URL: https://doi.org/10.1016/j.physletb.2024.138615. – Bibliogr.: 40.

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.



Спец.(статьи,препринты) = С 324.1г - Калибровочные теории поля. Классические и квантовые поля Янга-Миллса. Спонтанно- нарушенные симметрии. Модели Великого объединения$
ОИЯИ = ОИЯИ (JINR)2024
Бюллетени = 25/024