Generalized screening theorem for Higgs decay processes in the two-doublet model

Abstract

The radiative corrections to the decay processes of the neutral ($CP$-even) Higgs boson ($H$) into a longitudinal gauge boson pair, {\it i.e.}, $H\to Z_L{Z}_L$ and $H\to W_L^{+}{W}_L^{-}$ are analyzed in the two-Higgs doublet model by assuming that all of the Higgs boson masses are much greater than the $W$ and $Z$ bosons'. These calculations are motivated to see if one could see potentially large virtual effects to these decay rates due to the charged and $CP$-odd neutral Higgs boson masses ($m_G$ and $m_A$, respectively) which are supposed to be larger than $m_H$. It is pointed out that, although the radiative corrections to the decay width $\Gamma (H\to W_L^{+}{W}_L^{-})$ depend sensitively in general on $m_G$ and $m_A$, there occurs a screening effect, {\it i.e.,} cancellation in leading terms once we set $m_G=m_A$, so that the radiative corrections tend to be minimized. It is also pointed out that the decay rate $\Gamma (H\to Z_L{Z}_L)$ is fairly insensitive to the other heavier Higgs masses and is possibly a good measuring tool of the Higgs mixing angle. The mechanism of these screening phenomena in the Higgs decays is explained on the basis of a new screening theorem, which we postulate with reference to the custodial symmetry in the Higgs potential.

42 pages, latex, 9 figures

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Cited by in corpus (5)

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• Non-Decoupling Effects of Higgs Bosons on $e^{+}{e}^{-}\to W_L^{+}{W}_L^{-}$ in the Two-Doublet Model
• Dark Matter with Topological Defects in the Inert Doublet Model
• Possible non-decoupling effects of heavy Higgs bosons in e+ e- -> W+ W- within THDM