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Deconstructed Hypercharge: A Natural Model of Flavour
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abstract
The flavour puzzle is one of the greatest mysteries in particle physics. A `flavour deconstruction' of the electroweak gauge symmetry, by promoting at least part of it to the product of a third family factor (under which the Higgs is charged) times a light family factor, allows one to address the flavour puzzle at a low scale due to accidentally realised $U(2)^5$ flavour symmetries. The unavoidable consequence is new heavy gauge bosons with direct couplings to the Higgs, threatening the stability of the electroweak scale. In this work, we propose a UV complete model of flavour based on deconstructing only hypercharge. We find that the model satisfies finite naturalness criteria, benefiting from the smallness of the hypercharge gauge coupling in controlling radiative Higgs mass corrections and passing phenomenological bounds. Our setup allows one to begin explaining flavour at the TeV scale, while dynamics solving the large hierarchy problem can lie at a higher scale up to around 10 TeV - without worsening the unavoidable little hierarchy problem. The low-energy phenomenology of the model is dominated by a single $Z'$ gauge boson with chiral and flavour non-universal couplings, with mass as light as a few TeV thanks to the $U(2)^5$ symmetry. The natural parameter space of the model will be probed by the HL-LHC and unavoidably leads to large positive shifts in the $W$-boson mass, as well as an enhancement in $\text{Br}(B_{s,d} \to \mu^+ \mu^-)$. Finally, we show that a future electroweak precision machine such as FCC-ee easily has the reach to fully exclude the model.
Forward citations
Cited by 8 Pith papers
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An Sp(6) completion of deconstructed weak isospin predicts six new flavour-changing gauge bosons and pushes the intermediate SU(2)^3 breaking scale above ~550 TeV (or ~150 TeV at large scale separation) via K/D mixing...
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Constraints on lepton-flavor mixing with third-generation new physics
The U(2)_ℓ-breaking spurion δ is constrained to |δ| < 0.051 (95% CL) by R_K(*) and B_s→μμ data, with derived upper limits for LFV τ and B decays.
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Z-pole precision at a Tera-Z factory gives projected sensitivities to Higgs and gauge SMEFT operators that are competitive with, and complementary to, higher-energy runs such as WW and ZH.
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Generation-separated hypercharges and dark charges: origin of flavor, neutrino masses, and dark matter
Generation-separated U(1) hypercharges plus a dark U(1) can generate hierarchical charged-fermion masses, seesaw/scotoseesaw neutrinos, and Z2-stabilized TeV-scale dark matter from one breaking pattern.
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