Erratum to: anyH3: precise predictions for the trilinear Higgs coupling in the Standard Model and beyond

Erratum to: Eur. Phys. J. C (2023) 83:1156 https://doi.org/10.1140/epjc/s10052-023-12173-8

First correction:

The left plot of Fig. 8 should be changed to

while the caption does not need any modification.

The text in the second paragraph of page 19 should be changed to “and an OS charged Higgs mass of $M_{H^+}^\text {OS}=100\text { GeV}$”.

Note: The old version of Fig. 8 was produced with an inconsistent choice of parameters: for the orange dashed line $M_{H^+}^\text {OS} = 1 \text { TeV}$ was chosen instead of $M_{H^+}^\text {OS} = 500 \text { GeV}$ as was written in the original version of the figure.

Second correction:

Equation (77) should be corrected from

$$\begin{aligned} V(\varPhi _1,\varPhi _2,S)&= m_{11}^2\varPhi _1^\dagger \varPhi _1 + m_{22}^2\varPhi _2^\dagger \varPhi - (m_{12}^2\varPhi _1^\dagger \varPhi _2 + \text {h.c.}) \\&\quad + \frac{\lambda _1}{2}(\varPhi _1^\dagger \varPhi _1)^2 + \frac{\lambda _2}{2}(\varPhi _2^\dagger \varPhi _2)^2 \\&\quad + \lambda _3(\varPhi _1^\dagger \varPhi _1)(\varPhi _2^\dagger \varPhi _2)\\&\quad + \lambda _4(\varPhi _1^\dagger \varPhi _2)(\varPhi _2^\dagger \varPhi _1) \\&\quad + \frac{\lambda _5}{2}\left[ (\varPhi _1^\dagger \varPhi _2)^2 + \text {h.c.}\right] \\&\quad + m_S^2 S^2 + \frac{\lambda _6}{8}S^4 + \frac{\lambda _7}{2}(\varPhi _1^\dagger \varPhi _1)S^2\\&\quad + \frac{\lambda _8}{2}(\varPhi _2^\dagger \varPhi _2)S^2\,, \end{aligned}$$

to

$$\begin{aligned} V(\varPhi _1,\varPhi _2,S)&= m_{11}^2\varPhi _1^\dagger \varPhi _1 + m_{22}^2\varPhi _2^\dagger \varPhi _2 - (m_{12}^2\varPhi _1^\dagger \varPhi _2 + \text {h.c.}) \\&\quad + \frac{\lambda _1}{2}(\varPhi _1^\dagger \varPhi _1)^2 + \frac{\lambda _2}{2}(\varPhi _2^\dagger \varPhi _2)^2 \\&\quad + \lambda _3(\varPhi _1^\dagger \varPhi _1)(\varPhi _2^\dagger \varPhi _2) \\&\quad + \lambda _4(\varPhi _1^\dagger \varPhi _2)(\varPhi _2^\dagger \varPhi _1) \\&\quad + \frac{\lambda _5}{2}\left[ (\varPhi _1^\dagger \varPhi _2)^2 + \text {h.c.}\right] \\&\quad + \frac{1}{2}m_S^2 S^2 + \frac{\lambda _6}{8}S^4 + \frac{\lambda _7}{2}(\varPhi _1^\dagger \varPhi _1)S^2 \\&\quad + \frac{\lambda _8}{2}(\varPhi _2^\dagger \varPhi _2)S^2\,. \end{aligned}$$

Note: the subscript 2 on the $\varPhi$ in the first line and the factor 1/2 in front of $m_S^2S^2$.