{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T07:38:23Z","timestamp":1769499503192,"version":"3.49.0"},"reference-count":58,"publisher":"Wiley","issue":"4-5","license":[{"start":{"date-parts":[[2012,10,11]],"date-time":"2012-10-11T00:00:00Z","timestamp":1349913600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fortschritte der Physik"],"published-print":{"date-parts":[[2013,4,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We focus on the use of a \u03bc\u2013\u03c4 interchange symmetry to explain features of lepton mixing, especially maximal atmospheric neutrino mixing. We review two models which achieve this goal and are based on the seesaw mechanism and on the soft breaking of the family\u2010lepton\u2010number symmetries. We also note that that symmetry may be embedded in a generalized CP symmetry. We show that, in the context of some of our models, arguments of naturalness may be used for explaining the smallness of the mass ratio m<jats:sub>\u03bc<\/jats:sub> \/ m<jats:sub>\u03c4<\/jats:sub>.<\/jats:p>","DOI":"10.1002\/prop.201200118","type":"journal-article","created":{"date-parts":[[2012,10,11]],"date-time":"2012-10-11T15:44:08Z","timestamp":1349970248000},"page":"535-545","source":"Crossref","is-referenced-by-count":56,"title":["\u03bc\u2013\u03c4 interchange symmetry and lepton mixing"],"prefix":"10.1002","volume":"61","author":[{"given":"W.","family":"Grimus","sequence":"first","affiliation":[]},{"given":"L.","family":"Lavoura","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,10,11]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1088\/0954-3899\/37\/7A\/075021"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/6\/1\/122"},{"key":"e_1_2_1_3_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ppnp.2005.08.002"},{"key":"e_1_2_1_3_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.141801"},{"key":"e_1_2_1_3_5","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/10\/11\/113011"},{"key":"e_1_2_1_3_6","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP04(2010)056"},{"key":"e_1_2_1_3_7","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/13\/6\/063004"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.84.053007"},{"key":"e_1_2_1_4_3","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/13\/10\/109401"},{"key":"e_1_2_1_4_4","unstructured":"F.P.Anet al. Daya Bay Coll. arXiv:1203.1669;"},{"key":"e_1_2_1_4_5","unstructured":"S.\u2010B.Kimet al. (RENO Coll.) arXiv:1204.0626;D.V.Forero M.T\u00f3rtola andJ.W.F.Valle [arXiv:1205.4018]."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.82.2701"},{"key":"e_1_2_1_5_3","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/335\/1\/012006"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1143\/PTPS.183.1"},{"key":"e_1_2_1_6_3","unstructured":"W.GrimusandP.O.Ludl arXiv:1110.6376."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.60.013002"},{"key":"e_1_2_1_7_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.011802"},{"key":"e_1_2_1_7_4","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(01)00465-8"},{"key":"e_1_2_1_7_5","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(01)00532-9"},{"key":"e_1_2_1_7_6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.66.117301"},{"key":"e_1_2_1_7_7","doi-asserted-by":"publisher","DOI":"10.1142\/S0217732304014951"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(02)01336-9"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.72.053001"},{"key":"e_1_2_1_9_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.74.017701"},{"key":"e_1_2_1_9_4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2007.01.040"},{"key":"e_1_2_1_9_5","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X10049694"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0370-2693(77)90435-X"},{"key":"e_1_2_1_10_3","unstructured":"T.Yanagida Horizontal Symmetry and Masses of Neutrinos in: Proceedings of the Workshop on Unified Theory and Baryon Number in the Universe edited by O. Sawata and A. Sugamoto KEK Report No. 79\u201018 (Tsukuba Japan 1979);S.L.Glashow The Future of Elementary Particle Physics in: Quarks and Leptons Proceedings of the Advanced Study Institute (Carg\u00e8se Corsica 1979) edited by J.\u2010L. Basdevant et al. (Plenum New York 1981);M.Gell\u2010Mann P.Ramond andR.Slansky Complex Spinors and Unified Theories in: Supergravity edited by D. Z. Freedman and F. van Nieuwenhuizen (North Holland Amsterdam 1979);"},{"key":"e_1_2_1_10_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.44.912"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s2004-02075-0"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(02)02772-7"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2003.10.075"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.77.075008"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.84.033009"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s2003-01135-3"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2006.03.049"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.69.093001"},{"key":"e_1_2_1_18_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.73.013008"},{"key":"e_1_2_1_18_4","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X08041463"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1088\/0954-3899\/30\/9\/008"},{"key":"e_1_2_1_19_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.71.033001"},{"key":"e_1_2_1_19_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.73.093005"},{"key":"e_1_2_1_19_5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.75.013012"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2003.08.032"},{"key":"e_1_2_1_20_3","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2009\/10\/040"},{"key":"e_1_2_1_21_2","first-page":"5393","volume":"34","author":"Grimus W.","year":"2003","journal-title":"Acta Phys. Polon. B"},{"key":"e_1_2_1_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2005.06.052"},{"key":"e_1_2_1_22_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysb.2005.09.016"},{"key":"e_1_2_1_22_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.74.015002"},{"key":"e_1_2_1_23_2","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2006\/01\/110"},{"key":"e_1_2_1_24_2","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2001\/07\/045"},{"key":"e_1_2_1_24_3","first-page":"3719","volume":"32","author":"Grimus W.","year":"2001","journal-title":"Acta Phys. Polon. B"},{"key":"e_1_2_1_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(02)03153-2"},{"key":"e_1_2_1_25_3","doi-asserted-by":"publisher","DOI":"10.1142\/S021773230200909X"},{"key":"e_1_2_1_26_2","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2000\/09\/007"},{"key":"e_1_2_1_27_2","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2008\/07\/051"},{"key":"e_1_2_1_28_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.66.014016"},{"key":"e_1_2_1_29_2","doi-asserted-by":"publisher","DOI":"10.1088\/0954-3899\/30\/2\/007"}],"container-title":["Fortschritte der Physik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fprop.201200118","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/prop.201200118","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,30]],"date-time":"2023-08-30T06:02:08Z","timestamp":1693375328000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/prop.201200118"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,11]]},"references-count":58,"journal-issue":{"issue":"4-5","published-print":{"date-parts":[[2013,4,2]]}},"alternative-id":["10.1002\/prop.201200118"],"URL":"https:\/\/doi.org\/10.1002\/prop.201200118","archive":["Portico"],"relation":{},"ISSN":["0015-8208","1521-3978"],"issn-type":[{"value":"0015-8208","type":"print"},{"value":"1521-3978","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10,11]]}}}