Abstract

U(1)^prime extensions of the standard model with generation-dependent couplings to quarks and leptons are investigated as an explanation of anomalies in rare B-decays, with an emphasis on stability and predictivity up to the Planck scale. To these ends, we introduce three generations of vector-like standard model singlet fermions, an enlarged, flavorful scalar sector, and, possibly, right-handed neutrinos, all suitably charged under the U(1)^prime gauge interaction. We identify several gauge-anomaly free benchmarks consistent with B_s-mixing constraints, with hints for electron-muon universality violation, and the global b rightarrow s fit. We further investigate the complete two-loop running of gauge, Yukawa and quartic couplings up to the Planck scale to constrain low-energy parameters and enhance the predictive power. A characteristic of models is that the Z^prime with TeV-ish mass predominantly decays to invisibles, i.e. new fermions or neutrinos. Z^prime -production can be studied at a future muon collider. While benchmarks feature predominantly left-handed couplings C_9^{mu } and C_{10}^{mu }, right-handed ones can be accommodated as well.

Highlights

  • (2022) 82:42 have been measured below unity, suggesting that new physics beyond the SM treats electrons and muons rather differently

  • Together with (3) this entails a lower bound on B4 · α4(μ0) and an upper bound on the Landau pole below the Planck scale, μL 1010 TeV

  • For benchmark BM3, the α4-value required for the Banomalies α4(μ0) = 4.60 · 10−2 implies a putative Landau pole around 25 TeV, which coincides with the theoretical upper bound for the mass of the ψ and S fields in BM3

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Summary

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(2022) 82:42 have been measured below unity, suggesting that new physics beyond the SM treats electrons and muons rather differently. Previous searches for Planck-safe SM extensions have looked into explanations for the (g − 2)μ,e anomalies [24], aspects of flavor through Higgs portals and their phenomenology [25,26,27], and settings where the Yukawainduced slowing-down leads to outright fixed points at asymptotically high energies [28,29,30,31,32,33,34,35,36,37] General conditions for the latter have been derived [22,23], including concrete requirements for matter fields and their interactions in simple [28,32,33,34,35,36,37], semi-simple [24,25,29,30] and supersymmetric [31] gauge theories; see [38,39,40,41,42,43,44,45] for further aspects and directions.

Z model set-up
Fields and interactions
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Anomaly cancellation
Gauge-kinetic mixing
Scalar symmetry breaking and mixing
EFT description and fits
Matching Z models
Benchmarks
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Planck safety analysis
Finding the BSM critical surface
General considerations
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Benchmark 1
Benchmark 2
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Benchmark 3
Benchmark 4
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Phenomenological implications
Collider signatures
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Conclusions
A: Z Models and Landau poles
FL2 FQ3
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B: Flavor rotations in the quark sector
C: Evading B-mixing constraints
TeV MZ
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D: When and why: right-handed neutrinos
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Full Text
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