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Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order

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arxiv 1712.06614 v2 pith:Z3BVITOS submitted 2017-12-18 hep-ph

Florian Herren , Luminita Mihaila , Matthias Steinhauser This is my paper · ORCID
classification hep-ph
keywords betafunctionsgaugemodeltwo-higgs-doubletyukawacouplingthree
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abstract

We compute the beta functions for the three gauge couplings and the Yukawa matrices of a general two-Higgs-doublet model in the modified minimal subtraction scheme to three loops. The calculations are performed using Lorenz gauge in the unbroken phase. We discuss in detail the occurence of poles in anomalous dimensions and propose practical prescriptions to avoid them. We provide explicit results for the often used $\mathbb{Z}_2$-symmetric versions of the two-Higgs-doublet model of type I, II, X and Y. Furthermore, we provide the first independent cross-check of the three-loop Yukawa coupling beta functions of the Standard Model.

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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. On the Renormalization Group in EFTs: On-Shell Bases, Ambiguities, and Divergences

    hep-ph 2025-12 conditional novelty 7.0 of 10

    Two-loop RG divergences in on-shell EFT bases are spurious: they vanish when non-minimal source terms are included, leaving only unphysical flavor-rotation flow.

  2. On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Six-loop renormalization-group equations for the 22 basis invariants of the 2HDM scalar potential are derived with invariant theory and Groebner bases, including the 63 minimal syzygies.

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