{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"7d15bbf04a93c890dc0dcf70daa296871bc33fdeee6ca07622f30c44f465e11c","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":["ai:gpt-5.5"],"kind":"seed"},"parents":["229afba5891e3d802bea9f3f36826d757c8a4752203dc8420f09c5a1129f3744","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"49e158a17467d59957f9176e103ee81255e59ccc29cd4cacbe06134f988cd10e","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":["ai:gpt-5.5"],"external_id":"hep.higgs-potential.vacuum-metastability","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"If no new particles appear up to the Planck scale, the measured Higgs and top-quark masses seem to make our vacuum only long-lived instead of permanently stable. The verdict depends on the top mass to a fraction of a GeV.","posed_since":"","precise":"In the SM with three-loop RG running and two-loop matching, determine whether the effective Higgs quartic stays positive for all field values up to and beyond $M_{\\mathrm{Pl}}$. Absolute stability requires a top pole mass near $171.1\\,\\mathrm{GeV}$, about $1.5\\,\\mathrm{GeV}$ below the direct-measurement average $172.57 \\pm 0.29\\,\\mathrm{GeV}$, or $\\alpha_s(m_Z)$ near 0.1213 instead of 0.1180 (Hiller et al. 2024); the answer is the classification stable, metastable or unstable at $5\\sigma$.","problem_ref":"229afba5891e3d802bea9f3f36826d757c8a4752203dc8420f09c5a1129f3744","references":"","settled_by":"A top-quark pole mass determination with uncertainty $\\sim 0.1\\,\\mathrm{GeV}$ (for example from a $t-\\mathrm{tbar}$ threshold scan at an $e+e-$ collider) together with $\\alpha_{s}(m_{Z})$ to $\\sim 0.1\\%$.","status_note":"Hiller, Hohne, Litim and Steudtner (arXiv:2401.08811, revised 2026) find stability disfavored by $1.9\\,\\sigma$ with the cross-section pole mass $172.4 \\pm 0.7\\,\\mathrm{GeV}$ and by $5.1\\,\\sigma$ if the template-fit mass $172.57 \\pm 0.29\\,\\mathrm{GeV}$ is taken as the pole mass; reducing the $m_{t}$ and $\\alpha_{s}$ errors by a factor of 2 to 3 would settle it at $5\\,\\sigma$.","title":"Is the electroweak vacuum absolutely stable if the SM holds to 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