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

2013/03/19 by A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin · 1 citation
Physics and Astronomy · #hep-ex #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2013.07.015

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

arxiv created 2013/03/19 · arxiv updated 2015/06/15

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.

Citations

• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Yukawa coupling beta-functions in the Standard Model at three loops

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