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...

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Main Authors: Ferruccio Feruglio, Alessandro Strumia, Arsenii Titov
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:Journal of High Energy Physics
Subjects:
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.
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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