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Hilbert Series for Flavor Invariants of the Standard Model

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arxiv 1010.3161 v1 pith:SZMMMY62 submitted 2010-10-15 hep-ph hep-th

Amihay Hanany , Elizabeth E. Jenkins , Aneesh V. Manohar , Giuseppe Torri This is my paper · ORCID
classification hep-phhep-th
keywords flavorhilbertinvariantsseriesgenerationsmodelneutrinostandard
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The Hilbert series is computed for the lepton flavor invariants of the Standard Model with three generations including the right-handed neutrino sector needed to generate light neutrino masses via the see-saw mechanism. We also compute the Hilbert series of the quark flavor invariants for the case of four generations.

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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. The Vacuum Moduli Space of the Minimal Supersymmetric Standard Model

    hep-th 2025-06 conditional novelty 7.0 of 10

    The full classical vacuum moduli space of the MSSM is computed: three rational components of dimensions 1, 15 and 29 without neutrinos, and one component when neutrinos are added.

  2. On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Six-loop renormalization-group equations for the 22 basis invariants of the 2HDM scalar potential are derived with invariant theory and Groebner bases, including the 63 minimal syzygies.

  3. Chiral Effective Field Theories for Strong and Weak Dynamics

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The paper constructs complete and minimal relativistic operator bases for nucleon-nucleon, pion-nucleon-nucleon, and three-nucleon sectors up to p6, and a spurion-based leptonic sector up to p4, using Hilbert series a...

  4. Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules

    hep-ph 2026-08 conditional novelty 6.0 of 10

    A Hilbert series construction yields the complete four-meson, two-derivative operator basis with CKM spurions, from which all leading-order B to pseudoscalar decay sum rules follow as null vectors.

  5. Most general EFTs from spurion analysis: Hilbert series and Minimal Lepton Flavor Violation

    hep-ph 2024-12 accept novelty 6.0 of 10

    Spurion-based EFTs are exactly equivalent to EFTs restricted to the residual symmetry preserved by a generic spurion vacuum expectation value, at all mass dimensions when all spurion powers are kept.

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