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Description
The trilinear Higgs coupling $\lambda_{hhh}$ of the detected Higgs boson is a critical observable for understanding of the Higgs potential. With improving experimental bounds in the future, the theoretical predictions of this coupling for constraining BSM parameters become increasingly significant. Using the public code anyH3, this study investigates the numerical stability of different renormalization schemes for $\lambda_{hhh}$ at one-loop level in extended scalar sectors. By comparing predictions of the coupling for various schemes, this study develops algorithmic criteria for switching between renormalisation schemes depending on the parameter region of the BSM model. This approach ensures numerically stable and reliable predictions for the trilinear Higgs coupling.