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

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.

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

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory

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