{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"a7c3f9458af679a0cd2abd7892733037e0557024681db2049064b7ad16e75b05","created":"2026-10-03T07:18:05Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"25532481a91948922a7aff9e33a4202356a76fa201c29a27e00bcee1b53bde48","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"hep.higgs-potential.vacuum-metastability","kind":"well-posed","literature_status":"open","n":"1","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":null,"references":"","settled_by":"A top-quark pole mass determination with uncertainty $\\sim 0.1\\,\\mathrm{GeV}$ (for example from a t-tbar threshold scan at an $e+e-$ collider) together with $\\alpha_{s}(m_{Z})$ to $\\sim 0.1\\,\\mathrm{percent}$.","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 $M_{\\mathrm{Pl}}$?","topic_ref":"7cc87e9a0f125c6a08907b134b87f69c6cd9e45b624b6e55e2b4dc1ba9882691"},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"229afba5891e3d802bea9f3f36826d757c8a4752203dc8420f09c5a1129f3744","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"4b928729f9e05407efc0df72efd0d7f9e96ef119f34a7c2788c3d109fafacf9b","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"u8VSzts1bPjet6e_Qxp9HAQpIP7V2kGIWIbi1bcJsh6WDJxd6Ngk4S2JTzMCFtwSXonG6HL4yIX9e6Jf_cfQDA"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIS5KHKfngVAfvwN9y79DX-elu8RnzSnwniMPRCfr6z5vxIEuKVIXMPf8Byo29jPB4EISx6T1zV4kwHVmJc7Uc_6lLCPAgaDWt1aAdUio4XwiqENcr4W98Mpkx6v_zimDAxXh4f8II8SC-RDzw8P7vYf-o9x12RNd77QrgzaSmXTLiRShJv7UrRwjwIDjIxA36HBshHXchUifi0FBgSKzzBC-hqO12pqjEsGNQCPEgJnTaCWDUHc047Un9gxxz9vii53PpzzIvdFcEppqSbE0I8CDHtrxowIx6FimPIvh69X07RB6BXKqX3RN5DhqUvhKq9AjxIA8Mvjd87ZtpxfGaeH-X_AyCvFZCuMJEG65d8GBPbZfZCPEgsPKCRq0mf_8ht2OmXvMNFmmqll5AzUTeepEqQILv1TUI8CDcBxRb7fDApTWNNvjZ_r2lDpQT60DYte3pStKjciGgOAjwIK9SXvHBwgJE5CknXtp2lOqKcbHlJ-ncP9sNjnTHUJsmCPEgytIBB3x7TFDT-XqOV-9vpqw1NKoAu0dhtsCbAMql2L0I8CCtNZgmApuKULvPC9nsMCaM05arV-F3o5FTlnJCnRvdMgjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jYQ3WablSaV64Wfn7Pmby5WLyI-A0I8QRqwKw78AhITF7Tr3a1xP8Ag9_jDS75DI4sK2h0dHBzOi8vYm9iLmJ0Yy5jYWxlbmRhci5vcGVudGltZXN0YW1wcy5vcmcI8CBXWeNiWFWltfHE0nkDXsVKIykUUwuObhsnN-2fvBt98gjwIM5Vf7j68sOFgVysYMc5S09Hho-fqxYW3oQ4oKUX7JpPCPAgaKHHQB3sdd9w1hu4NMh7vmb-p0X2r4uyVKKCj1G7S28I8SAW2Mg6Bzi9ygjrrjIYB7w90fwMcxH24SsqLmzPyAMGfwjwIMQ863zlveYIpNKWVrZaDOa4vowwoOg2CcTW8gXtxK3dCPEgrZxGGAf-t8jhz_eLMUyBN1IhNrdYDRcNHWvQcwNG9woI8CCVOUHG1YXudbaFIgUYvrCIevRWvb2ubhQAo-z0duD0rQjxIDBeKerVGkO3J2eXDwdraSioXbIWsdIPEN1s8pIwJIS2CPAgV2kB3n3JZ5HwBQjpRL1CWKnqvdCjZk3RcALk6N2wHigI8CB-wbljNlfqElD25uZkNg6taS81YDRU2vfMqGVQ420O9AjxWQEAAAABJM43UU6MLMRrPlCUqossvu1q_knons5yylyWTgxZzWUAAAAAAP7___8CLgABAAAAAAAWABQrYt3E7OllKRCEmL3FL589l78_5wAAAAAAAAAAImog8ATiyw4ACAjxILmbcIO7ixv3pCtwUMZ1VQGKus54F9lZ8-w5ECD5ZuiICAjwIG6ynCyFTLPE7Rgk-0ZGCtBDyqNQx8YvaSZNHy8D8p8jCAjwIMX8zoD2Be1YWvcx_bexVPRmBX0hK-do8b8t9SarimQVCAjxIG6XtpqIEclLlhzcK1LVjqoPGrjjmLnyno8tcETMzECECAjwIF6mlfXOFY51JhrK4eze8zQlKV75OYZYqbtyi8BWxmAsCAjwIKKUcJmVoz-u-geiRV_-ZHdF0VEPXaEPFWf_JX_0e7G2CAjxIGMeD0Z5QWNKBcAEpHht007FFIILW6aSJ8f3CMkKNsneCAjwIBFr6Je8rkB7kwhPGbq0yRgFwZsvW9JhY5sXDRtrq0QwCAjwIAHAwXaus-yUgKICJB5mVvx8VZuJgjwnpb0qWPg1pi6DCAjxIAJhb8cefkVHTAMymdsxa-_i-tUua62LcpALQnPG7R9_CAjwIDvsFqBhPfAL6TCtXZd7gBWmMpx6iiZ-Ug0Jf_LlcstgCAjwIDJRBX6Q0Vge-ra-k1_g76yJWTEp6WWF13I3JpTnsZPJCAjwILykZCbkC9VQgl5gytPKKir6T9nTvKR6y05iWSHBTQgzCAgABYiWDXPXGQED45c78Ah-sGbmQAwfZwjwEAYqxtHnZiPZnJEGPx_JvKsI8SDXkqDg17YsZIrEz5acRx7mBXCKW5mKNgRYnw_-U2cpDgjxBGrArDrwCEfK6Mono428_wCD3-MNLvkMji4taHR0cHM6Ly9hbGljZS5idGMuY2FsZW5kYXIub3BlbnRpbWVzdGFtcHMub3JnCPAg10nyJ6Jn4kshQQQCKE0Lvj3hBC6nLRBVIzaPV4eh8VwI8CCQaAqWlxEbac_XOq1MOlf9iOKHEsxXspzbjK0vLpy8BwjwII3iRbRXUcDxrhAdkZmFlI15nySCSEZ7g922tF1Xln5DCPEgYYvZ1L4v4rPu_UqLfcHPtwSb2OH2GhPgVcVhhH6DpkQI8CDZCIoR20sC-uchP40oAmcLm9EJFV7xzwplj54AeVadXQjxILvLBjPFpCoz29m9Yf2qRnV7PI9GqxE8ozVQfk9QwCqrCPEgZXcMudvEoB_MJ8tqOW2PLTKAIeQBnE-1bfzptRc2gR8I8VkBAAAAAfXq-bmxWqOz7B5wKkwjzHGv2R4s7Y0Z76LqXWYNhmz0AAAAAAD-____Av0cAAAAAAAAFgAUl-skmdZDtn7Hnub6mF4HP2uVn7oAAAAAAAAAACJqIPAE4MsOAAgI8CBDmQsbEXc46Hu8DivhCBM1LGExa4TTM-wo7HpoCVjBTQgI8CCty5vkQtPHzzs8xqArOYhVSjgaDoG1ou3cojv5_P7wQQgI8SDQWB0kdXCTwbk-TqTt0QfRMyzDNLOtU1XXFgvGSRlW8wgI8CC2PKa_QCIBZtrXodq1GdEzppISMsMRDOnzr2gFjLKOAAgI8CCwQ_QF67bcFk_uJ2s0VCZmf5PGIjTmTCpt_qnVY5p_8AgI8SAbzyx7z-oxPMju6PvtQhzrJIQyH2ZAc9oyLuYemzbmZQgI8CC5bh7J74uUk91r8LwybHQFCNBC3PWeuwtMCCNFKWj19AgI8SAf4R2TUNPjaX_PWDUImpoITK0JoW89zaMKnD1wlEEi8AgI8SC2vNmdm7eyP5Ytl1yTzT0njliMdALl1ViKG-s3bG2zswgI8CCpbIVNz1GFVXdJk2zd82hBUoNFFemUPBt7IJdWEOciPwgI8CBtYdRQcrtX1FtCm1SxF7sx-5cO04U8KzbJh8fqBkyReAgI8CBHs2LGmX6gI-lV7yp1RrV7_tGfdiBAwnEFF6B6yXHzAQgI8CATotVmbXBMAixhZ-QKy5Q4lR0FusdA_wcIC1TbB7GmxAgIAAWIlg1z1xkBA-KXOw"],"envelope":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIojLHyh2hQum2D6nwpbPwtnEW3Zkd_qPeVcZ_syVzoTDwIKJOxHtiQL8BDMDQcnjLydv4CIMcBWskqIDX7KK3cOwsCPAgkdVfabaGwjPdym39Xcw3JmScHIPih1jWNzRd3ZzKec8I8CCYickl928-EaSKIu4eK0umYzNCYVIMmAd2z-zP4twNrwjwIF6wDPmHtimkN238cIrXQX6rW-KUq0g7Mjf9L8QfkZlmCPEghov7heukWD6Tb1zKEYzc1iMfLKo_PCHXMuaydmEyeD4I8SDsdeFKMR42TqfotmavH7zHN5E5n_OnT-h-StLi3W7-4gjxIPI2YHFp5-hEhbA3u1YYxqA-eRn3lhCzT289jqUM_lJHCPAgwmK3CUEOY-5QE2iSOuU3W3YgTzeiLK0zofehysSfjssI8CB0Pk63gwyd_u5K2K1drJW3UxU3mXTBkDKQdutj6_nnEgjxIFf8EhaVa-ubjpYx3wEAcKGxkzfUQq6B-8jimpRd8IqnCPAgy6DmLQtIuWm-zrDRmaSy95vcFWsjvWyppQO7wIWrfC4I8SAQuuTPkAGyvS_wKMy9BtKvnki2puESdY2vXem8hT1uIQjwIBGYo5Vxy-d7U5zKv5vp3Ii7hJPH_BDLCzA13c47p9q7CP_wCHbghVgOFMuNCPAQPZK2lHbTMqcCYUotzOQcmQjwIJ7ruRIs6HnufKxCpmLUgeUl0aUu0ov4_3PqcppS-bddCPEgI530vHzdwz_3o9jY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