{"id":"https://openalex.org/W7203864072","doi":"https://doi.org/10.1103/6h95-91bz","title":"Minimal quark-lepton complementarity from a rigid deformation of tribimaximal mixing","display_name":"Minimal quark-lepton complementarity from a rigid deformation of tribimaximal mixing","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7203864072","doi":"https://doi.org/10.1103/6h95-91bz"},"language":"en","primary_location":{"id":"doi:10.1103/6h95-91bz","doi":"https://doi.org/10.1103/6h95-91bz","is_oa":false,"landing_page_url":"https://doi.org/10.1103/6h95-91bz","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.19691","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091560163","display_name":"Gazal Sharma","orcid":"https://orcid.org/0000-0002-5650-6196","observed_orcids":["https://orcid.org/0000-0002-5650-6196"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gazal Sharma","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003505259","display_name":"Gaurav Katoch","orcid":"https://orcid.org/0000-0002-3955-5682","observed_orcids":["https://orcid.org/0000-0002-3955-5682"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gaurav Katoch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10921","display_name":"Neutrino Physics Research","score":0.6836000084877014,"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/T10921","display_name":"Neutrino Physics Research","score":0.6836000084877014,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.30809998512268066,"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":0.0013000000035390258,"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":[{"id":"https://openalex.org/keywords/quark-lepton-complementarity","display_name":"quark-lepton complementarity","score":0.9980000257492065},{"id":"https://openalex.org/keywords/tri-bimaximal-mixing","display_name":"tri-bimaximal mixing","score":0.9520000219345093},{"id":"https://openalex.org/keywords/cabibbo-angle","display_name":"Cabibbo angle","score":0.8650000095367432},{"id":"https://openalex.org/keywords/ckm-matrix","display_name":"CKM matrix","score":0.7269999980926514},{"id":"https://openalex.org/keywords/dirac-cp-violating-phase","display_name":"Dirac CP phase","score":0.7089999914169312},{"id":"https://openalex.org/keywords/cp-violation","display_name":"CP violation","score":0.5490000247955322},{"id":"https://openalex.org/keywords/neutrino-mass-matrix","display_name":"neutrino mass matrix","score":0.6269999742507935},{"id":"https://openalex.org/keywords/dirac-neutrino-masses","display_name":"Dirac neutrino masses","score":0.5339999794960022},{"id":"https://openalex.org/keywords/three-family-models","display_name":"three-family models","score":0.3889999985694885},{"id":"https://openalex.org/keywords/normal-ordering","display_name":"normal ordering","score":0.3959999978542328},{"id":"https://openalex.org/keywords/atmospheric-mixing-angle","display_name":"atmospheric mixing angle","score":0.4449999928474426}],"concepts":[{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.43700000643730164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4147000014781952},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.39910000562667847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3662000000476837},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.3402000069618225},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29820001125335693},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2872999906539917},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.2628999948501587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.260699987411499}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/6h95-91bz","doi":"https://doi.org/10.1103/6h95-91bz","is_oa":false,"landing_page_url":"https://doi.org/10.1103/6h95-91bz","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2608.19691","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19691","pdf_url":"https://arxiv.org/pdf/2608.19691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.19691","doi":"https://doi.org/10.48550/arxiv.2608.19691","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.19691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"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":"pmh:oai:arXiv.org:2608.19691","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19691","pdf_url":"https://arxiv.org/pdf/2608.19691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203864072.pdf","grobid_xml":"https://content.openalex.org/works/W7203864072.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1559383645","https://openalex.org/W1568356709","https://openalex.org/W1965733458","https://openalex.org/W1982224706","https://openalex.org/W1993659437","https://openalex.org/W2037802849","https://openalex.org/W2111924510","https://openalex.org/W2148986426","https://openalex.org/W2157338527","https://openalex.org/W2158032799","https://openalex.org/W2170857891","https://openalex.org/W2231544274","https://openalex.org/W2555214446","https://openalex.org/W2901629017","https://openalex.org/W4401957922","https://openalex.org/W4406081375","https://openalex.org/W4406861820","https://openalex.org/W4416550358","https://openalex.org/W7128502585","https://openalex.org/W7152968167"],"related_works":["https://openalex.org/W6891688027","https://openalex.org/W1997099127","https://openalex.org/W7214721667","https://openalex.org/W2080036030","https://openalex.org/W2148986426","https://openalex.org/W7100820656","https://openalex.org/W2087752393","https://openalex.org/W2070760844","https://openalex.org/W1983956306","https://openalex.org/W2050047622"],"abstract_inverted_index":{"We":[0,94,180],"propose":[1],"a":[2,26,33,113,185],"minimal":[3],"three-family":[4],"realization":[5,195],"of":[6,22],"quark--lepton":[7],"complementarity":[8],"(QLC)":[9],"in":[10,59,100,150,203],"which":[11],"the":[12,30,36,45,60,65,71,102,106,122,169,173,182,207],"non-trivial":[13],"correlation":[14],"matrix":[15],"is":[16,32,68,148,200],"an":[17,142,191],"exactly":[18],"unitary,":[19],"rigid":[20],"deformation":[21,31,104,183],"tri-bimaximal":[23],"mixing.":[24],"In":[25,141],"canonical":[27],"TBM":[28],"convention":[29],"rotation":[34,41,170],"about":[35],"normalized":[37],"axis":[38,176],"$n_{gg}=(2,1,2)^T/3$,":[39],"with":[40,85,206],"angle":[42,217],"fixed":[43,174],"by":[44,184],"Cabibbo":[46],"angle,":[47],"$\u03b1_{gg}=-3\u03b8_C/4$.":[48],"The":[49,198],"resulting":[50],"ansatz,":[51],"$\\UPMNS=\\VCKM^\\dagger\\UTBM":[52],"R_{n_{gg}}(-3\u03b8_C/4)$,":[53],"contains":[54],"no":[55,158],"new":[56],"continuous":[57],"parameter":[58],"Dirac":[61,220],"lepton-mixing":[62],"sector":[63,209],"once":[64],"structural":[66],"choice":[67],"fixed.":[69],"With":[70],"2025":[72],"Particle":[73],"Data":[74],"Group":[75],"CKM":[76],"fit":[77],"it":[78,147],"predicts":[79],"$\u03b8_{12}=33.29^\\circ$,":[80],"$\u03b8_{13}=8.46^\\circ$,":[81],"$\u03b8_{23}=49.19^\\circ$,":[82],"and":[83,111,137,189,218],"$\\dcp=180.79^\\circ$,":[84],"CKM-induced":[86,107],"uncertainties":[87],"much":[88],"smaller":[89],"than":[90,161],"present":[91],"oscillation":[92,139],"errors.":[93],"derive":[95],"leading":[96],"Wolfenstein":[97],"sum":[98],"rules;":[99],"particular,":[101],"real":[103],"preserves":[105],"suppression":[108],"$\\Jcp=-A\u03b7\u03bb^3/6+\\mathcal":[109],"O(\u03bb^4)$":[110],"hence":[112],"near-CP-conserving":[114],"phase.":[115],"A":[116],"retrospective":[117],"simplicity":[118,166],"scan":[119,146],"shows":[120],"that":[121],"pair":[123],"$(2,1,2),3/4$":[124],"ranks":[125],"first":[126,155],"among":[127,156],"5510":[128],"oriented":[129],"primitive-integer/rational":[130],"candidates":[131,157],"when":[132],"tested":[133],"on":[134],"epoch-matched":[135],"2016":[136],"2018":[138,145],"data.":[140],"enlarged":[143],"49,622-candidate":[144],"second":[149],"raw":[151],"score":[152],"but":[153],"remains":[154],"more":[159],"complex":[160],"itself":[162],"under":[163],"several":[164],"independent":[165],"measures;":[167],"profiling":[168],"strength":[171],"for":[172],"$(2,1,2)$":[175],"gives":[177],"$r_{\\rm":[178],"BF}=0.74941$.":[179],"formulate":[181],"convention-covariant":[186],"flavor-space":[187],"generator":[188],"give":[190],"exact":[192],"effective":[193],"eigenframe":[194],"$M_\u03bd=A":[196],"I+B\\Sgg+C\\Sgg^2$.":[197],"construction":[199],"presently":[201],"allowed":[202],"normal":[204],"ordering,":[205],"atmospheric":[208,216],"providing":[210],"its":[211,214],"strongest":[212],"pressure;":[213],"upper-octant":[215],"near-$\u03c0$":[219],"phase":[221],"provide":[222],"sharp":[223],"falsifiability":[224],"targets.":[225]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-08-22T00:00:00"}
