Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment

Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment Weifeng Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9261148/v2 This work is licensed under a CC BY 4.0 License Status: Posted Version 2 posted You are reading this latest preprint version Show more versions Abstract In this study, we explore the phenomenological implications of the renormalizable geometric misalignment (RGM) framework, which we recently proposed to naturally generate Majorana neutrino masses at the electroweak scale. Built upon a small misalignment between the SU (2) gauge representation space and the chiral fields, this purely geometric approach achieves the sub-eV degenerate masses without relying on high-scale energies or severe fine-tuning. To accommodate full flavor mixing and CP-violating phases, we generalize the original RGM model by promoting the real, diagonal misalignment matrix Θ to a complex and off-diagonal form. Comparing the non-unitary predictions from this extended theory against the recent experimental data reveals that the precision constraints, specifically the 2025 MicroBooNE null result, the 2025 μ + → e + γ decay limit from MEG II and the 2024 ATLAS W -decay universality measurement, favor the highly suppressed natural regime (| Θ | ∼ 10 -7 ) over the high-mixing scenario (| Θ | ~ 10 -1 ). We further analyze the one-loop radiative corrections to the induced non-unitarity parameter and confirm that it is radiatively stable, consistent with 't Hooft's naturalness criterion. Finally, we discuss the implications of the intermediate regime (| Θ | ∼ 10 -3 –10 -2 ) wherein the geometry-induced non-unitary mixing effects can serve as practical targets for future precision tests. High Energy and Particle Physics Neutrino physics Beyond the Standard Model Neutrino mass Majorana neutrino Generalized geometric misalignment Precision phenomenology Non-unitary mixing Flavor mixing CP violation LSND MiniBooNE MicroBooNE MEG II ATLAS DUNE Hyper-K Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 2 posted You are reading this latest preprint version Show more versions Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9261148","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":614942142,"identity":"223180aa-51c8-4d1f-b3bb-0169c913bf4a","order_by":0,"name":"Weifeng Wang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVRIiWNgGAWjYPACCR5+BgY2krTYyEg2kKglzcbgALFaDI6fPfyCse0wj/GN5GcPPlQwyPOLHSCg5UxemgVIi9mNNHPDGWcYDGfOTsCvxexAjpkB4zaQlgQzad42hgSD24S0nH8D0WI8I/0bkVpu5Bg/YNyWxmMgkUOkLfY33pgxMP6z4ZE486ZMcsYZCcJ+kezPMf7AcEbCnr89fZvEhwobeX5pAlqAgE36D4gSAKuUIKgcBJg/gCn+A0SpHgWjYBSMghEIAM+HQIxPlcP8AAAAAElFTkSuQmCC","orcid":"https://orcid.org/0009-0008-5406-5690","institution":"Jinhua Academy of Zhejiang Chinese Medical University, Jinhua, China","correspondingAuthor":true,"prefix":"","firstName":"Weifeng","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2026-03-29 22:54:58","currentVersionCode":2,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-9261148/v2","doiUrl":"https://doi.org/10.21203/rs.3.rs-9261148/v2","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":106960583,"identity":"7f031559-6c4b-4d9e-8b6e-5e8b961ed43c","added_by":"auto","created_at":"2026-04-15 09:21:51","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":306338,"visible":true,"origin":"","legend":"","description":"","filename":"Main.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9261148/v2_covered_2a967084-1289-4a6f-a0fe-7eb19700f020.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Zhejiang Chinese Medical University","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Neutrino physics, Beyond the Standard Model, Neutrino mass, Majorana neutrino, Generalized geometric misalignment, Precision phenomenology, Non-unitary mixing, Flavor mixing, CP violation, LSND, MiniBooNE, MicroBooNE, MEG II, ATLAS, DUNE, Hyper-K ","lastPublishedDoi":"10.21203/rs.3.rs-9261148/v2","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9261148/v2","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this study, we explore the phenomenological implications of the renormalizable geometric misalignment (RGM) framework, which we recently proposed to naturally generate Majorana neutrino masses at the electroweak scale. Built upon a small misalignment between the \u003cem\u003eSU\u003c/em\u003e(2) gauge representation space and the chiral fields, this purely geometric approach achieves the sub-eV degenerate masses without relying on high-scale energies or severe fine-tuning. \u0026nbsp;To accommodate full flavor mixing and CP-violating phases, we \u0026nbsp;generalize the original RGM model by promoting the real, diagonal misalignment matrix \u003cstrong\u003eΘ \u003c/strong\u003eto a complex and off-diagonal form. Comparing the non-unitary predictions from this extended theory against the recent experimental data reveals that the precision constraints, specifically the 2025 MicroBooNE null result, the 2025\u003cem\u003e \u003c/em\u003eμ\u003csup\u003e+\u003c/sup\u003e\u003csup\u003e\u003cem\u003e \u003c/em\u003e\u003c/sup\u003e\u003cem\u003e→ \u003c/em\u003ee\u003csup\u003e+\u003c/sup\u003eγ\u003cem\u003e \u003c/em\u003edecay limit from MEG II and the 2024 ATLAS \u003cem\u003eW\u003c/em\u003e-decay universality measurement, favor the highly suppressed natural regime (|\u003cstrong\u003eΘ\u003c/strong\u003e|\u003cstrong\u003e \u003c/strong\u003e∼ 10\u003csup\u003e-7\u003c/sup\u003e) over the high-mixing scenario \u0026nbsp;(|\u003cstrong\u003eΘ\u003c/strong\u003e|\u003cstrong\u003e \u003c/strong\u003e~ 10\u003csup\u003e-1\u003c/sup\u003e). We further analyze the one-loop radiative corrections to the induced non-unitarity parameter and confirm that it is radiatively stable, consistent with 't Hooft's naturalness criterion. Finally, we discuss the implications of the \u0026nbsp;intermediate regime (|\u003cstrong\u003eΘ\u003c/strong\u003e|\u003cstrong\u003e \u003c/strong\u003e∼ 10\u003csup\u003e-3\u003c/sup\u003e –10\u003csup\u003e-2\u003c/sup\u003e) wherein the geometry-induced non-unitary mixing effects can serve as practical targets for future precision tests.\u003c/p\u003e","manuscriptTitle":"Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment","msid":"","msnumber":"","nonDraftVersions":[{"code":2,"date":"2026-04-13 18:58:15","doi":"10.21203/rs.3.rs-9261148/v2","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}},{"code":1,"date":"2026-03-31 03:12:30","doi":"10.21203/rs.3.rs-9261148/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"c4199de2-ebe7-4514-95c9-674ee6a8b797","owner":[],"postedDate":"April 13th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":65431694,"name":"High Energy and Particle Physics"}],"tags":[],"updatedAt":"2026-03-31T03:12:30+00:00","versionOfRecord":[],"versionCreatedAt":"2026-04-13 18:58:15","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v2","identity":"rs-9261148","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9261148","identity":"rs-9261148","version":["v2"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}