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Modular invariance and the QCD angle

Ferruccio Feruglio, Алессандро Струмиа, Arsenii Titov

2023Journal of High Energy Physics42 citationsDOIOpen Access PDF

Abstract

A bstract 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.

Topics & Concepts

PhysicsParticle physicsModular invarianceQuantum chromodynamicsSupergravityTorusSupersymmetryQuarkFermionString (physics)FlavourTheoretical physicsModular designOperating systemGeometryComputer scienceMathematicsParticle physics theoretical and experimental studiesDark Matter and Cosmic PhenomenaQuantum Chromodynamics and Particle Interactions
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