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Modular invariance and the QCD angle

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arxiv 2305.08908 v2 pith:C2QQP7AR submitted 2023-05-15 hep-ph hep-th

Ferruccio Feruglio , Alessandro Strumia , Arsenii Titov This is my paper
classification hep-phhep-th
keywords modularangleinvarianceallowsbrokenchiralcoefficientscolored
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. When CP requires $\bar\theta=0$, not $\bar\theta=\pi$

    hep-ph 2025-07 conditional novelty 7.0 of 10

    CP alone allows the QCD theta angle to be 0 or pi; choosing a gauge group with enlarged theta periodicity forces CP to select 0, eliminating the excluded pi value.

  2. Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

    hep-th 2025-09 conditional novelty 6.0 of 10

    Non-Abelian orbifolds in heterotic string theory produce non-invertible coupling selection rules, since twisted sectors are labeled by conjugacy classes whose products contain multiple classes and yield characteristic...

  3. Modular Flavor Symmetries and Fermion Mass Hierarchies

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.

  4. Solving the strong CP problem in string-inspired theories with modular invariance

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Modular invariance can suppress the QCD theta angle to zero in string-inspired supersymmetric models with positive modular weights and non-trivial gauge kinetic functions, while the CKM phase stays large.

  5. Flavor from Consistency: Axion, Anomaly Cancellation, and Emergent Unification

    hep-ph 2025-11 reject novelty 4.0 of 10

    The paper presents a supergravity model where anomaly cancellation and U(1)_X charges generate quark/lepton hierarchies and a flavored QCD axion, but the charge assignments and axion scale are fitted rather than derived.

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