PreprintCC BY 4.0arXiv
Hierarchies from Higher Flavor Spin
Abstract
We develop a framework in which Yukawa hierarchies arise from powers of fully anarchic spurions transforming in higher representations of the flavor symmetry group SU(2)n2× SU(3)n3. The core mechanism is the progressive lifting of Yukawa ranks through successive outer products of composite doublets and triplets. We formulate the general construction in detail and build explicit models realizing it. We then investigate whether renormalizable scalar potentials for higher SU(2) representations can dynamically generate anarchic spurions with non-vanishing composites. The framework predicts distinctive patterns in flavor-changing neutral currents and potentially observable stochastic gravitational-wave backgrounds.
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BibTeX
@misc{greljo2026hierarchies,
title = {{Hierarchies from Higher Flavor Spin}},
author = {Admir Greljo and Alessandro Valenti},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.15267},
eprint = {2605.15267},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15267},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hierarchies from Higher Flavor Spin
AU - Admir Greljo
AU - Alessandro Valenti
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2605.15267
UR - https://arxiv.org/abs/2605.15267
AB - We develop a framework in which 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. We formulate the general construction in detail and build explicit models realizing it. We then investigate whether renormalizable scalar potentials for higher SU(2) representations can dynamically generate anarchic spurions with non-vanishing composites. The framework predicts distinctive patterns in flavor-changing neutral currents and potentially observable stochastic gravitational-wave backgrounds.
ER -