{"id":"https://openalex.org/W7134832704","doi":"https://doi.org/10.48550/arxiv.2603.08139","title":"Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature","display_name":"Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature","publication_year":2026,"publication_date":"2026-03-09","ids":{"openalex":"https://openalex.org/W7134832704","doi":"https://doi.org/10.48550/arxiv.2603.08139"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2603.08139","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128679612","display_name":"Joseph Tooby-Smith","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tooby-Smith, Joseph","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5128679612"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13726","display_name":"International Science and Diplomacy","score":0.22589999437332153,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13726","display_name":"International Science and Diplomacy","score":0.22589999437332153,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.1762000024318695,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.08649999648332596,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.667900025844574},{"id":"https://openalex.org/keywords/ask-price","display_name":"Ask price","score":0.5077000260353088},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4952000081539154},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4275999963283539},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3952000141143799},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.39469999074935913},{"id":"https://openalex.org/keywords/higgs-boson","display_name":"Higgs boson","score":0.3849000036716461}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.667900025844574},{"id":"https://openalex.org/C90329073","wikidata":"https://www.wikidata.org/wiki/Q914232","display_name":"Ask price","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4952000081539154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46059998869895935},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.39469999074935913},{"id":"https://openalex.org/C158129726","wikidata":"https://www.wikidata.org/wiki/Q402","display_name":"Higgs boson","level":2,"score":0.3849000036716461},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.3467999994754791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3449000120162964},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C101454708","wikidata":"https://www.wikidata.org/wiki/Q17106019","display_name":"Standard Model (mathematical formulation)","level":3,"score":0.31299999356269836},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29789999127388},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2883000075817108},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2847999930381775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2761000096797943},{"id":"https://openalex.org/C100253034","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Systematic error","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.25940001010894775}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2603.08139","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2603.08139","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.08139","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2603.08139","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"2006,":[1],"using":[2],"the":[3,10,25,28,44,86,97,100,109,116,131,140],"best":[4,110],"methods":[5],"and":[6,16,61,67,69],"techniques":[7],"available":[8],"at":[9],"time,":[11],"Maniatis,":[12],"von":[13],"Manteuffel,":[14],"Nachtmann":[15],"Nagel":[17],"published":[18],"a":[19,73,121],"now":[20,40],"widely":[21],"cited":[22],"paper":[23,123],"on":[24,96],"stability":[26,98],"of":[27,46,76,88,99,111,130,143,154],"two":[29],"Higgs":[30],"doublet":[31],"model":[32],"(2HDM)":[33],"potential.":[34,102],"Twenty":[35],"years":[36],"on,":[37],"it":[38,114],"is":[39,105,115],"easier":[41],"to":[42,53,57,70,108],"apply":[43],"process":[45],"formalization":[47,135],"into":[48],"an":[49,83],"interactive":[50],"theorem":[51,95],"prover":[52],"this":[54,89,151],"work":[55],"thanks":[56],"projects":[58],"like":[59],"Mathlib":[60],"Physlib":[62],"(the":[63],"latter":[64],"formerly":[65],"PhysLean":[66],"Lean-QuantumInfo),":[68],"ask":[71],"for":[72],"higher":[74,152],"standard":[75],"mathematical":[77],"correctness.":[78],"Doing":[79],"so":[80],"has":[81],"revealed":[82],"error":[84,119],"in":[85,120],"arguments":[87],"2006":[90],"paper,":[91],"invalidating":[92],"their":[93],"main":[94],"2HDM":[101],"This":[103],"case":[104],"noteworthy":[106],"because":[107],"our":[112],"knowledge":[113],"first":[117,132],"non-trivial":[118],"physics":[122,146],"found":[124],"through":[125],"formalization.":[126],"It":[127],"was":[128,136],"one":[129],"papers":[133,147],"where":[134],"attempted,":[137],"which":[138],"raises":[139],"uncomfortable":[141],"question":[142],"how":[144],"many":[145],"would":[148],"not":[149],"pass":[150],"level":[153],"scrutiny.":[155]},"counts_by_year":[],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2026-03-11T00:00:00"}