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One-Loop Corrections to the Perturbative Unitarity Bounds in the $CP$-Conserving Two-Higgs Doublet Model with a Softly Broken $\mathbb{Z}_2$ Symmetry

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arxiv 1512.04567 v2 pith:7TSSV2G7 submitted 2015-12-14 hep-ph

classification hep-ph
keywords lambdabosonbrokenconservingcorrectionsdoubletmathbbmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute all of the one-loop corrections that are enhanced, $O(\lambda_i \lambda_j / 16 \pi^2)$, in the limit $s \gg |\lambda_i | v^2 \gg M_{W}^2$, $s \gg m_{12}^2$ to all the $2 \to 2$ longitudinal vector boson and Higgs boson scattering amplitudes in the $CP$-conserving two-Higgs doublet model with a softly broken $\mathbb{Z}_2$ symmetry. In the two simplified scenarios we study, the typical bound we find is $|\lambda_i(s)| \lessapprox 4$.

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Cited by 2 Pith papers

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  1. $B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions

    hep-ph 2025-06 conditional novelty 7.0 of 10

    In the DFSZ axion model, the b to s a transition receives an unsuppressed two-loop contribution proportional to the scalar coupling lambda, which becomes important for tan beta above about 5.

  2. Fate of Metastable Vacua in the Type-II Two-Higgs Doublet Model

    hep-ph 2026-07 conditional novelty 6.0 of 10

    In the Type-II two-Higgs-doublet model, once next-to-leading-order unitarity, perturbativity and current data are imposed, the electroweak vacuum remains the global minimum among neutral vacua at tree level and one lo...

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