{"id":"https://openalex.org/W7225397756","doi":"https://doi.org/10.5281/zenodo.24013717","title":"The Complete Running Changes Nothing Below the Wall: Two Loops, Thresholds, and the Third Coupling","display_name":"The Complete Running Changes Nothing Below the Wall: Two Loops, Thresholds, and the Third Coupling","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225397756","doi":"https://doi.org/10.5281/zenodo.24013717"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24013717","doi":"https://doi.org/10.5281/zenodo.24013717","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013717","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24013717","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159396451","display_name":"William Alexander Aldred","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aldred, William Alexander","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-1215-577X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5159396451"],"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.00430000014603138,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.0035000001080334187,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/gauge-coupling-unification","display_name":"gauge coupling unification","score":0.8330000042915344},{"id":"https://openalex.org/keywords/threshold-effects","display_name":"threshold effects","score":0.6140000224113464},{"id":"https://openalex.org/keywords/electromagnetic-coupling","display_name":"electromagnetic coupling","score":0.6959999799728394},{"id":"https://openalex.org/keywords/strong-coupling","display_name":"strong coupling","score":0.8600000143051147},{"id":"https://openalex.org/keywords/weak-coupling","display_name":"weak coupling","score":0.9629999995231628},{"id":"https://openalex.org/keywords/grand-unification-scale","display_name":"unification scale","score":0.5690000057220459},{"id":"https://openalex.org/keywords/electroweak-scale","display_name":"electroweak scale","score":0.5350000262260437}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.705299973487854},{"id":"https://openalex.org/C2777489069","wikidata":"https://www.wikidata.org/wiki/Q1589822","display_name":"Ceiling (cloud)","level":2,"score":0.6818000078201294},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5467000007629395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5024999976158142},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.48739999532699585},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37119999527931213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.299699991941452},{"id":"https://openalex.org/C136815107","wikidata":"https://www.wikidata.org/wiki/Q154242","display_name":"Nothing","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26440000534057617},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2563000023365021}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24013717","doi":"https://doi.org/10.5281/zenodo.24013717","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013717","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24013718","doi":"https://doi.org/10.5281/zenodo.24013718","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013718","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24040152","doi":"https://doi.org/10.5281/zenodo.24040152","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24040152","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24013717","doi":"https://doi.org/10.5281/zenodo.24013717","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24013717","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225425171","https://openalex.org/W7225427680","https://openalex.org/W2995918635","https://openalex.org/W7214076268","https://openalex.org/W7098288962","https://openalex.org/W3036457514","https://openalex.org/W7222882180","https://openalex.org/W7096936223","https://openalex.org/W7119266826","https://openalex.org/W2194030931"],"abstract_inverted_index":{"AF-5":[0],"ran":[1],"the":[2,12,24,32,35,49,61,67,70,81,91,93,123,139,142,146,148,160,166,175,190,198,208,219,223],"electromagnetic":[3],"and":[4,26,80,177],"strong":[5],"couplings":[6,59,167],"on":[7,141,218],"declared":[8,224],"one-loop":[9],"lines":[10],"to":[11,66],"frame's":[13],"counting":[14],"ceiling":[15,92],"E_ind":[16,47],"=":[17,87,98,101,104,128],"3.02\u00d710\u2079":[18],"GeV,":[19],"found":[20],"no":[21,106,113,194,202],"meeting":[22],"below":[23,46,116],"wall,":[25,176],"charged":[27],"its":[28,157,164],"own":[29,158],"F1":[30],"as":[31],"price":[33],"of":[34,110,122,136,145],"simplification:":[36],"a":[37,43],"two-loop,":[38],"threshold-complete":[39],"running":[40,125,162,206],"that":[41,54],"places":[42],"pairwise":[44,120,179],"crossing":[45,114,121],"kills":[48],"verdict.":[50],"This":[51],"paper":[52],"pays":[53],"charge.":[55],"All":[56],"three":[57,181],"gauge":[58],"\u2014":[60,73,133],"weak":[62],"coupling":[63],"\u03b1\u2082":[64,129],"added":[65],"bench":[68],"for":[69],"first":[71,119],"time":[72],"are":[74],"run":[75],"with":[76],"two-loop":[77],"Machacek\u2013Vaughn":[78],"coefficients":[79],"top":[82],"threshold":[83],"stepped":[84],"at":[85,96,130,180],"m_t":[86],"172.69":[88],"GeV.":[89],"At":[90],"inverses":[94],"stand":[95,217],"\u03b1\u2081\u207b\u00b9":[97],"47.571,":[99],"\u03b1\u2082\u207b\u00b9":[100],"38.109,":[102],"\u03b1\u2083\u207b\u00b9":[103],"28.150:":[105],"two":[107],"within":[108],"9.46":[109],"each":[111,171],"other,":[112],"anywhere":[115],"it.":[117],"The":[118],"complete":[124,161,220],"is":[126,201,207],"\u03b1\u2081":[127],"~10^13.05":[131],"GeV":[132],"four":[134],"orders":[135],"magnitude":[137],"above":[138,174],"ceiling,":[140],"far":[143,173],"side":[144],"wall":[147,199],"frame":[149,211],"owns.":[150],"AF-5's":[151],"verdict":[152],"does":[153],"not":[154,222],"merely":[155],"survive":[156],"falsifier;":[159],"sharpens":[163],"context:":[165],"do":[168],"converge":[169,178],"toward":[170],"other":[172],"different":[182],"addresses":[183],"(10^13.05,":[184],"10^14.22,":[185],"10^16.41":[186],"GeV),":[187],"so":[188],"even":[189],"extrapolated":[191],"record":[192],"tells":[193],"single-meeting":[195],"story.":[196],"Below":[197],"there":[200],"meeting.":[203],"Above":[204],"it,":[205],"thing":[209],"this":[210],"says":[212],"saturates.":[213],"Both":[214],"halves":[215],"now":[216],"computation,":[221],"simplification.":[225]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
