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Solving local anomaly equations in gauge-rank extensions of the Standard Model

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arxiv 1912.10022 v3 pith:76HLQQU4 submitted 2019-12-20 hep-th hep-ph

B C Allanach , Ben Gripaios , Joseph Tooby-Smith This is my paper · ORCID
classification hep-thhep-ph
keywords accssolutioncaseonlyanomalyexistsfamilygauge
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We consider local (or perturbative) gauge anomalies in models which extend the rank of the Standard Model (SM) gauge group and the chiral fermion content only by $n$ SM singlets. We give a general solution to the anomaly cancellation conditions (ACCs) of an additional $U(1)$ subgroup for the ACCs that involve only SM fermions and we examine whether a corresponding solution exists for the remaining ACCs. We show that a solution to the remaining ACCs always exists for $n \geq 5$ in the family non-universal case or $n \geq 3$ in the family-universal case. In the special case where only a single family carries non-vanishing charges, we find a general solution to all ACCs, for any value of $n$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. In Search of an Invisible $Z^\prime$

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Anomaly cancellation forces every Z-pole-invisible, anomaly-free Z' to couple to valence quarks and at least two charged lepton flavours, ensuring LHC coverage.

  2. More varieties of 4-d gauge theories: product representations

    hep-th 2025-01 accept novelty 6.0 of 10

    Anomaly-free m-fold product representations of su_n form rational projective varieties for all n and m, and bounded-size chiral solutions are rare, with known upper and lower bounds.

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