Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors
Abstract We compute the dominant two-loop corrections to the Higgs trilinear coupling $$\lambda _{hhh}$$ λhhh and to the Higgs quartic coupling $$\lambda _{hhhh}$$ λhhhh in models with extended Higgs sectors, using the effective-potential approximation. We provide in this paper all necessary details...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7723-2 |
| Summary: | Abstract We compute the dominant two-loop corrections to the Higgs trilinear coupling $$\lambda _{hhh}$$ λhhh and to the Higgs quartic coupling $$\lambda _{hhhh}$$ λhhhh in models with extended Higgs sectors, using the effective-potential approximation. We provide in this paper all necessary details about our calculations, and present general $$\overline{{\mathrm{MS}}}$$ MS¯ expressions for derivatives of the integrals appearing in the effective potential at two loops. We also consider three particular Beyond-the-Standard-Model (BSM) scenarios – namely a typical scenario of an Inert Doublet Model (IDM), and scenarios of a Two-Higgs-Doublet Model (2HDM) and of a Higgs Singlet Model (HSM) without scalar mixing – and we include all the necessary finite counterterms to obtain (in addition to $$\overline{{\mathrm{MS}}}$$ MS¯ results) on-shell scheme expressions for the corrections to the Higgs self-couplings. With these analytic results, we investigate the possible magnitude of two-loop BSM contributions to the Higgs self-couplings and the fate of the non-decoupling effects that are known to appear at one loop. We find that, at least as long as pertubative unitarity conditions are fulfilled, the size of two-loop corrections remains well below that of one-loop corrections. Typically, two-loop contributions to $$\lambda _{hhh}$$ λhhh amount to approximately 20% of those at one loop, implying that the non-decoupling effects observed at one loop are not significantly modified, but also meaning that higher-order corrections need to be taken into account for the future perspective of precise measurements of the Higgs trilinear coupling. |
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| ISSN: | 1434-6044 1434-6052 |