English

Higgs self-coupling beta-function in the Standard Model at three loops

High Energy Physics - Phenomenology 2015-06-15 v2 High Energy Physics - Experiment High Energy Physics - Theory

Abstract

We present the results for three-loop beta-function for the Higgs self-coupling calculated within the unbroken phase of the Standard Model. We also provide the expression for three-loop beta-function of the Higgs mass parameter, which is obtained as a by-product of our main calculation. Our results coincide with that of recent paper arXiv:1303.2890. In addition, the expression for the Higgs field anomalous dimension is given.

Cite

@article{arxiv.1303.4364,
  title  = {Higgs self-coupling beta-function in the Standard Model at three loops},
  author = {A. V. Bednyakov and A. F. Pikelner and V. N. Velizhanin},
  journal= {arXiv preprint arXiv:1303.4364},
  year   = {2015}
}

Comments

15 pages, 1 figure, Mathematica outputs attached. Ancillary files rearranged. arXiv admin note: text overlap with arXiv:1212.6829

R2 v1 2026-06-21T23:43:58.022Z