{"id":"https://openalex.org/W7225752065","doi":"https://doi.org/10.5281/zenodo.24111093","title":"The Counting Rule and the Electron Anomalous Magnetic Moment: A Purchase Smaller than the Muon's by Four and a Half Orders of Magnitude","display_name":"The Counting Rule and the Electron Anomalous Magnetic Moment: A Purchase Smaller than the Muon's by Four and a Half Orders of Magnitude","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225752065","doi":"https://doi.org/10.5281/zenodo.24111093"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24111093","doi":"https://doi.org/10.5281/zenodo.24111093","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24111093","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.24111093","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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.004000000189989805,"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":0.0017000000225380063,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C205334942","wikidata":"https://www.wikidata.org/wiki/Q3151","display_name":"Muon","level":2,"score":0.8604000210762024},{"id":"https://openalex.org/C19694890","wikidata":"https://www.wikidata.org/wiki/Q101667","display_name":"Hadron","level":2,"score":0.802299976348877},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7591000199317932},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6513000130653381},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.6197999715805054},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5231999754905701},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.474700003862381},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.4643000066280365},{"id":"https://openalex.org/C102999125","wikidata":"https://www.wikidata.org/wiki/Q43116","display_name":"Elementary particle","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45239999890327454},{"id":"https://openalex.org/C2776249927","wikidata":"https://www.wikidata.org/wiki/Q1437700","display_name":"Form factor (electronics)","level":2,"score":0.4375999867916107},{"id":"https://openalex.org/C179203047","wikidata":"https://www.wikidata.org/wiki/Q82586","display_name":"Lepton","level":3,"score":0.42570000886917114},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.4221999943256378},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.39640000462532043},{"id":"https://openalex.org/C88407732","wikidata":"https://www.wikidata.org/wiki/Q7636898","display_name":"Sum rule in quantum mechanics","level":3,"score":0.3871000111103058},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.3808000087738037},{"id":"https://openalex.org/C2778671642","wikidata":"https://www.wikidata.org/wiki/Q1206668","display_name":"Electron\u2013positron annihilation","level":3,"score":0.357699990272522},{"id":"https://openalex.org/C139455999","wikidata":"https://www.wikidata.org/wiki/Q771367","display_name":"Anomalous magnetic dipole moment","level":3,"score":0.35420000553131104},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C144386022","wikidata":"https://www.wikidata.org/wiki/Q1332997","display_name":"Scale factor (cosmology)","level":5,"score":0.28439998626708984},{"id":"https://openalex.org/C2778910143","wikidata":"https://www.wikidata.org/wiki/Q1252972","display_name":"Semileptonic decay","level":4,"score":0.2842000126838684},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C101454708","wikidata":"https://www.wikidata.org/wiki/Q17106019","display_name":"Standard Model (mathematical formulation)","level":3,"score":0.26429998874664307},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24111093","doi":"https://doi.org/10.5281/zenodo.24111093","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24111093","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.24111094","doi":"https://doi.org/10.5281/zenodo.24111094","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24111094","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.24111093","doi":"https://doi.org/10.5281/zenodo.24111093","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24111093","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,62,146,212],"counting":[1,125],"rule":[2],"tested":[3],"against":[4,117],"the":[5,20,30,40,53,65,86,93,100,113,122,124,129,158,165,173,187,209,218],"muon":[6],"g-2":[7],"hadronic":[8,42,87,167],"dispersion":[9,26],"sum":[10,43,88],"in":[11,52,59],"a":[12,80,107,134,141,177],"companion":[13],"analysis":[14],"(DOI":[15],"10.5281/zenodo.24102027)":[16],"is":[17,74,131,162,192,221],"run":[18],"for":[19,121],"electron.":[21],"Evaluating":[22],"an":[23,202],"explicitly":[24],"parametrised":[25],"integral":[27],"anchored":[28],"to":[29],"published":[31],"a_e^{had,LO}":[32],"=":[33,69],"1.866(11)":[34],"x":[35,71,78,83,110,119,137,154,170,180],"10^-12":[36],"gives:":[37],"82.87%":[38],"of":[39,85,112,144,156,164,224],"electron's":[41],"below":[44,48],"1":[45],"GeV,":[46,50],"93.66%":[47],"1.8":[49],"16.82%":[51],"decade":[54],"1-10":[55],"GeV":[56,73],"and":[57,140,195,206,220],"0.315%":[58],"10-100":[60],"GeV.":[61],"part":[63],"above":[64],"individualisation":[66],"scale":[67,98],"E_ind":[68],"3.02":[70],"10^9":[72],"bounded":[75,174],"by":[76,133,176,186,200],"8.9":[77],"10^-32,":[79],"fraction":[81,108],"4.8":[82],"10^-20":[84],"(the":[89],"same":[90],"order":[91],"as":[92,99],"muon,":[94],"since":[95],"both":[96],"tails":[97],"squared":[101],"lepton":[102],"mass":[103],"over":[104],"E_ind^2),":[105],"but":[106,152],"7.65":[109],"10^-29":[111],"total":[114],"electron":[115,130],"anomaly,":[116],"2.66":[118],"10^-24":[120],"muon:":[123],"rule's":[126],"purchase":[127],"on":[128],"smaller":[132],"factor":[135,178],"2.9":[136],"10^-5,":[138],"four":[139],"half":[142],"orders":[143],"magnitude.":[145],"mass-independent":[147],"QED":[148],"terms":[149],"carry":[150],"all":[151],"3.94":[153],"10^-9":[155],"a_e;":[157],"Schwinger":[159],"term":[160],"alone":[161],"100.152%":[163],"total;":[166],"light-by-light":[168],"(0.039":[169],"10^-12)":[171],"exceeds":[172],"tail":[175],"4.4":[179],"10^17.":[181],"All":[182],"numbers":[183],"are":[184],"produced":[185],"deposited":[188],"compute.py.":[189],"AI":[190,203],"use":[191],"disclosed:":[193],"drafting":[194],"computation":[196],"assistance":[197],"was":[198],"provided":[199],"Dave,":[201],"system":[204],"built":[205],"operated":[207],"under":[208],"author's":[210],"direction.":[211],"author,":[213],"William":[214],"Alexander":[215],"Aldred,":[216],"directed":[217],"work":[219],"sole":[222],"author":[223],"record.":[225]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}
