Revisiting the Higgs-mass calculation in the scale-invariant THDM

Abstract

We revisit the one-loop calculation of the Higgs mass spectrum of the scale-invariant THDM, relying on a direct calculation of the relevant Feynman diagrams. We highlight a number of incorrect assumptions in earlier calculations that relied on the effective-potential approach. In contrast with the earlier findings, we show that the one-loop corrections can have an effect of ${\cal O}(10\%)$ on the predictions for the BSM-Higgs masses, and they can also induce non-negligible mixing between the SM-like and BSM states in the neutral-scalar sector.

Figures (3)

• Figure 1: Neutral-scalar masses as a function of the quartic couplings, in a scenario where $\lambda_4=\lambda_5$, $\lambda_3$ is fixed by the value of $M_h$, and $\tan\beta=2$. The meaning of the lines is explained in the text.
• Figure 2: Left: Pseudoscalar and charged-scalar masses as a function of the quartic couplings, in the same scenario as in fig. \ref{['fig:MhMHvsL4L5']}. Right: Differences between loop-corrected and tree-level masses. The meaning of the lines is explained in the text.
• Figure 3: Left: Masses of the BSM Higgs bosons as a function of $\tan\beta$, in an aligned scenario in which $m_A = m_{H^\pm}$, $M_h=125$ GeV and $\left[{\cal M}^2_S(0)\right]_{12}=0$, with $Q=Q_{\rm{ GW}}$. Right: Same as the left plot, but with $Q=m_A,m_{H^\pm}$ . The meaning of the lines is explained in the text.