Higgs self-coupling beta-function in the Standard Model at three loops
A.V. Bednyakov, A.F. Pikelner, V.N. Velizhanin
TL;DR
This paper calculates the three-loop beta-function for the Higgs self-coupling and related parameters in the Standard Model, providing precise theoretical insights into Higgs sector renormalization.
Contribution
It presents the first complete three-loop beta-function calculations for the Higgs self-coupling and mass parameter in the Standard Model.
Findings
Beta-function for Higgs self-coupling at three loops
Beta-function for Higgs mass parameter at three loops
Higgs field anomalous dimension 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.
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