English

Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices

High Energy Physics - Phenomenology 2015-06-17 v2

Abstract

Three-loop renormalization group equations for the Higgs self-coupling and Higgs mass parameter are recalculated in the case of complex Yukawa matrices, which encompass general flavour structure of the Standard Model. In addition, the anomalous dimensions both for the quantum Higgs field and its vacuum expectation value are presented in the MS\overline{MS}-scheme. A numerical study of the latter quantities is carried out for a certain set of initial parameters.

Keywords

Cite

@article{arxiv.1310.3806,
  title  = {Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices},
  author = {A. V. Bednyakov and A. F. Pikelner and V. N. Velizhanin},
  journal= {arXiv preprint arXiv:1310.3806},
  year   = {2015}
}

Comments

14 pages, 2 figures, report numbers added, figures redrawn

R2 v1 2026-06-22T01:46:51.913Z