Pith Number

pith:ZWE5TDNI

pith:2026:ZWE5TDNIEBKKBZNSAO4JAPOO6B

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Hierarchies from Higher Flavor Spin

Admir Greljo, Alessandro Valenti

Yukawa hierarchies arise from powers of anarchic spurions in higher representations of an extended flavor symmetry group.

arxiv:2605.15267 v1 · 2026-05-14 · hep-ph · hep-ex · hep-th

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\pithnumber{ZWE5TDNIEBKKBZNSAO4JAPOO6B}

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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Claims

C1strongest claim

Yukawa hierarchies arise from powers of fully anarchic spurions transforming in higher representations of the flavor symmetry group SU(2)^{n_2}×SU(3)^{n_3}. The core mechanism is the progressive lifting of Yukawa ranks through successive outer products of composite doublets and triplets.

C2weakest assumption

That renormalizable scalar potentials for higher SU(2) representations can dynamically generate anarchic spurions with non-vanishing composites, as investigated in the framework.

C3one line summary

Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.

References

72 extracted · 72 resolved · 25 Pith anchors

[1] W. Altmannshofer and A. Greljo,Recent Progress in Flavor Model Building,Ann. Rev. Nucl. Part. Sci.75(2025) 201 [2412.04549] 2025

[2] Feruglio,Pieces of the Flavour Puzzle,Eur 2015 · arXiv:1503.04071

[3] C.D. Froggatt and H.B. Nielsen,Hierarchy of Quark Masses, Cabibbo Angles and CP Violation,Nucl. Phys. B147(1979) 277 1979

[4] Mass Matrix Models 1993 · arXiv:hep-ph/9212278

[5] Mass Matrix Models: The Sequel 1994 · arXiv:hep-ph/9310320

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:49.668629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd89d98da82054a0e5b203b8903dcef075efd0074d8821a7a769d73fd3e2b13b

Aliases

arxiv: 2605.15267 · arxiv_version: 2605.15267v1 · doi: 10.48550/arxiv.2605.15267 · pith_short_12: ZWE5TDNIEBKK · pith_short_16: ZWE5TDNIEBKKBZNS · pith_short_8: ZWE5TDNI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZWE5TDNIEBKKBZNSAO4JAPOO6B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd89d98da82054a0e5b203b8903dcef075efd0074d8821a7a769d73fd3e2b13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d5df27c2faa6c1bdd955687610f82805231f2ed8c47600e5666a0d296d0e39",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-14T18:00:01Z",
    "title_canon_sha256": "d8ad75447860b41444d92c56d0ea9bf7d3f5385aee195c9706b3a86645196304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15267",
    "kind": "arxiv",
    "version": 1
  }
}