The paper investigates the near-criticality of the Higgs boson mass in the Standard Model (SM). The authors extract parameters of the Higgs potential, the top Yukawa coupling, and electroweak gauge couplings to full 2-loop NNLO precision and extrapolate these parameters to large energies using full 3-loop NNLO RGE precision. They find that the measured Higgs mass corresponds to the minimum values of the Higgs quartic and top Yukawa couplings and the maximum value of the gauge couplings allowed by vacuum metastability. The paper discusses various theoretical interpretations of this near-criticality, including the possibility of hidden significance at high energy scales and special matching conditions. The authors also provide numerical results for the SM parameters at the electroweak scale and explore the implications of these results for Planck-scale physics. The paper concludes with a detailed analysis of the stability bound on the Higgs mass and the phase diagram of the SM in terms of Higgs and top masses.The paper investigates the near-criticality of the Higgs boson mass in the Standard Model (SM). The authors extract parameters of the Higgs potential, the top Yukawa coupling, and electroweak gauge couplings to full 2-loop NNLO precision and extrapolate these parameters to large energies using full 3-loop NNLO RGE precision. They find that the measured Higgs mass corresponds to the minimum values of the Higgs quartic and top Yukawa couplings and the maximum value of the gauge couplings allowed by vacuum metastability. The paper discusses various theoretical interpretations of this near-criticality, including the possibility of hidden significance at high energy scales and special matching conditions. The authors also provide numerical results for the SM parameters at the electroweak scale and explore the implications of these results for Planck-scale physics. The paper concludes with a detailed analysis of the stability bound on the Higgs mass and the phase diagram of the SM in terms of Higgs and top masses.