Two-loop corrections to the Higgs trilinear coupling in BSM models with classical scale invariance

Johannes Braathen; Shinya Kanemura; Makoto Shimoda

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arXiv · 2105.02713

Two-loop corrections to the Higgs trilinear coupling in BSM models with classical scale invariance

Johannes Braathen·Shinya Kanemura·Makoto Shimoda

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Abstract

Classical scale invariance (CSI) is an attractive concept for BSM model building, explaining the apparent alignment of the Higgs sector and potentially relating to the hierarchy problem. Furthermore, a particularly interesting feature is that the Higgs trilinear coupling $\lambda_{hhh}$ is universally predicted at one loop in CSI models, and deviates by 67% from its (tree-level) SM prediction. This result is however modified at two loops, and we review in these proceedings our calculation of leading two-loop corrections to $\lambda_{hhh}$ in models with classical scale invariance, taking as an example a CSI scenario of a Two-Higgs-Doublet Model. We find that the inclusion of two-loop effects allows distinguishing different scenarios with CSI, although the requirement of reproducing the known 125-GeV Higgs-boson mass severely restricts the allowed values of $\lambda_{hhh}$.

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Johannes Braathen, Shinya Kanemura, Makoto Shimoda. 2021-05-06. Two-loop corrections to the Higgs trilinear coupling in BSM models with classical scale invariance. https://arxiv.org/abs/2105.02713

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