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Generalised CP Symmetry in Modular-Invariant Models of Flavour

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arxiv 1905.11970 v2 pith:3R5QCR74 submitted 2019-05-28 hep-ph hep-th

P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov This is my paper
classification hep-phhep-th
keywords modularflavoursymmetryfinitegeneralisedmodelsmodulustheories
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abstract

The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus $\tau$ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular $S_4$ model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus $\tau$ being the only source of CP violation.

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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. Neutrino mass and leptogenesis in the non-SUSY modular $A^\prime_5$ inverse seesaw model

    hep-ph 2026-03 conditional novelty 6.0 of 10

    Three non-SUSY A5-prime modular inverse-seesaw models fit neutrino oscillation data and can generate the observed baryon asymmetry via TeV-scale resonant leptogenesis.

  2. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

  3. Flavor Symmetries and Winding Modes

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.

  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. Quark and lepton masses

    hep-ph 2025-06 unverdicted

    A review of fermion mass and mixing data and of the main theoretical attempts to explain them, from GUTs to string theory, without claiming a new result.

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