Abstract
We consider the Standard Model with a new scalar field X which is an nX representation of the SU(2)L with a hypercharge YX. The renormalization group running effects on the new scalar quartic coupling constants are evaluated. Even if we set the scalar quartic coupling constants to be zero at the scale of the new scalar field, the coupling constants are induced by the one-loop effect of the weak gauge bosons. Once non-vanishing couplings are generated, the couplings rapidly increase by renormalization group effect of the quartic coupling constant itself. As a result, the Landau pole appears below Planck scale if nX≥4. We find that the scale of the obtained Landau pole is much lower than that evaluated by solving the one-loop beta function of the gauge coupling constants.
Highlights
Landau pole in the Standard Model with weakly interacting scalar fields Yuta Hamada ∗, Kiyoharu Kawana, Koji Tsumura
We find that the scale of the obtained Landau pole is much lower than that evaluated by solving the one-loop beta function of the gauge coupling constants
The Landau pole (LP) we will derive from the scalar quartic coupling constants is much lower than that obtained by solving one-loop beta functions of the gauge coupling constants [58]
Summary
Landau pole in the Standard Model with weakly interacting scalar fields Yuta Hamada ∗ , Kiyoharu Kawana, Koji Tsumura. The renormalization group running effects on the new scalar quartic coupling constants are evaluated. We find that the scale of the obtained Landau pole is much lower than that evaluated by solving the one-loop beta function of the gauge coupling constants.
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