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

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arxiv 1303.4364 v2 pith:YA7E6FRB submitted 2013-03-18 hep-ph hep-exhep-th

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

classification hep-ph hep-exhep-th
keywords higgsbeta-functionexpressionmodelresultsself-couplingstandardthree-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model

    hep-ph 2026-07 conditional novelty 6.0

    Four-loop Standard Model gauge beta functions are confirmed by a direct Feynman-diagram calculation, and four-loop gauge-field anomalous dimensions are computed for the first time.