Modular invariance and the QCD angle
Abstract String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle vanishes; ii) the CKM phase is large; iii) quark an...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2023-07-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP07(2023)027 |
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author | Ferruccio Feruglio Alessandro Strumia Arsenii Titov |
author_facet | Ferruccio Feruglio Alessandro Strumia Arsenii Titov |
author_sort | Ferruccio Feruglio |
collection | DOAJ |
description | Abstract String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle vanishes; ii) the CKM phase is large; iii) quark and lepton masses and mixings can be reproduced up to order one coefficients. We implement such general paradigm in supersymmetry or supergravity, with modular forms or functions, with or without heavy colored states. |
first_indexed | 2024-03-11T15:18:32Z |
format | Article |
id | doaj.art-c3ec82b4256e4a73a182c42a8787660a |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-11T15:18:32Z |
publishDate | 2023-07-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-c3ec82b4256e4a73a182c42a8787660a2023-10-29T12:06:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023713410.1007/JHEP07(2023)027Modular invariance and the QCD angleFerruccio Feruglio0Alessandro Strumia1Arsenii Titov2INFN, Sezione di PadovaDipartimento di Fisica, Università di PisaDipartimento di Fisica, Università di PisaAbstract String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle vanishes; ii) the CKM phase is large; iii) quark and lepton masses and mixings can be reproduced up to order one coefficients. We implement such general paradigm in supersymmetry or supergravity, with modular forms or functions, with or without heavy colored states.https://doi.org/10.1007/JHEP07(2023)027CP ViolationDiscrete SymmetriesSupersymmetryTheories of Flavour |
spellingShingle | Ferruccio Feruglio Alessandro Strumia Arsenii Titov Modular invariance and the QCD angle Journal of High Energy Physics CP Violation Discrete Symmetries Supersymmetry Theories of Flavour |
title | Modular invariance and the QCD angle |
title_full | Modular invariance and the QCD angle |
title_fullStr | Modular invariance and the QCD angle |
title_full_unstemmed | Modular invariance and the QCD angle |
title_short | Modular invariance and the QCD angle |
title_sort | modular invariance and the qcd angle |
topic | CP Violation Discrete Symmetries Supersymmetry Theories of Flavour |
url | https://doi.org/10.1007/JHEP07(2023)027 |
work_keys_str_mv | AT ferruccioferuglio modularinvarianceandtheqcdangle AT alessandrostrumia modularinvarianceandtheqcdangle AT arseniititov modularinvarianceandtheqcdangle |