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Modular $S_4\times SU(5)$ GUT

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arxiv 2103.16311 v3 pith:6SXPTFMV submitted 2021-03-30 hep-ph

classification hep-ph
keywords modularsymmetrymasschargeddrivingfieldsflavonsforms
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Modular symmetry offers the possibility to provide an origin of discrete flavour symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton field to account for charged fermion mass hierarchies rather than a Froggatt-Nielsen mechanism. Such an approach can be applied to flavoured Grand Unified Theories (GUTs) which can be greatly simplified using modular forms. As an example, we consider a modular version of a previously proposed $S_4\times SU(5)$ GUT, with Gatto-Sartori-Tonin and Georgi-Jarlskog relations, in which all flavons and driving fields are removed, with their effect replaced by modular forms with moduli assumed to be at various fixed points, rendering the theory much simpler. In the neutrino sector there are two right-handed neutrinos constituting a Littlest Seesaw model satisfying Constrained Sequential Dominance (CSD) where the two columns of the Dirac neutrino mass matrix are proportional to $(0,1, -1)$ and $(1, n, 2-n)$ respectively, and $n=1+\sqrt{6}\approx 3.45$ is prescribed by the modular symmetry, with predictions subject to charged lepton mixing corrections. We perform a numerical analysis, showing quark and lepton mass and mixing correlations around the best fit points.

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Forward citations

Cited by 6 Pith papers

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

  1. Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw

    hep-ph 2026-07 conditional novelty 6.0 of 10

    An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.

  2. A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE

    hep-ph 2026-02 conditional novelty 6.0 of 10

    A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.

  3. 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.

  4. Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A minimal S3 modular inverse seesaw model fits oscillation data and predicts inverted ordering, a massless lightest neutrino, and m_ee around 38 to 58 meV.

  5. A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.

  6. Right-handed neutrinos: seesaw models and signatures

    hep-ph 2025-02 conditional novelty 1.0 of 10

    A pedagogical review that explains how adding right-handed neutrinos can generate small neutrino masses through seesaw mechanisms and what experimental signatures such models predict.

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