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CP violation and modular symmetries

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arxiv hep-ph/0105285 v2 pith:WE26N6YE submitted 2001-05-27 hep-ph hep-th

Thomas Dent This is my paper · ORCID
classification hep-phhep-th
keywords violationmodelsmodularspontaneousstringambiguousapparentapplicable
verification ladder T0 review T1 audit T2 compute T3 formal

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We reconsider the origin of CP violation in fundamental theory. Existing string models of spontaneous CP violation make ambiguous predictions, due to the arbitrariness of CP transformation and the apparent non-invariance of the results under duality. We find an unambiguous modular CP invariance condition, applicable to predictive models of spontaneous CP violation, which circumvents these problems; it strongly constrains CP violation by heterotic string moduli. The dilaton is also evaluated as a source of CP violation, but is likely experimentally excluded. We consider the prospects for explaining CP violation in strongly-coupled strings and brane worlds.

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Cited by 2 Pith papers

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

  1. 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.

  2. Modular Invariant Models of Lepton Masses at Levels 4 and 5

    hep-ph 2019-08 conditional novelty 5.0 of 10

    Modular invariant lepton models at levels 4 and 5, using flavons for charged leptons and a single modulus for neutrinos, fit the data with five parameters and predict absolute neutrino masses and CP phases.

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