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Higgs sector renormalization group in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi mathvariant="normal">MS</mml:mi></mml:mrow><mml:mrow><mml:mo>โ</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math>and on-mass-shell scheme: The breakdown of perturbation theory for a heavy Higgs boson
We discuss different aspects of the Higgs self-interaction in the MS-bar and the on-mass-shell (OMS) scheme. The running coupling \lambda(\mu) is investigated in great detail. The three-loop coefficient of the \beta-function in the OMS scheme is derived, and the three-loop running coupling is calculated. The breakdown of perturbation theory for โฆ