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Investigating the near-criticality of the Higgs boson

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arxiv 1307.3536 v4 pith:PKF6TCVW submitted 2013-07-12 hep-ph hep-th

classification hep-phhep-th
keywords higgsparameterscouplingsfullgaugeloopmassnear-criticality
verification ladder T0 review T1 audit T2 compute T3 formal
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We extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE precision. Then we study the phase diagram of the Standard Model in terms of high-energy parameters, finding that the measured Higgs mass roughly corresponds to the minimum values of the Higgs quartic and top Yukawa and the maximum value of the gauge couplings allowed by vacuum metastability. We discuss various theoretical interpretations of the near-criticality of the Higgs mass.

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