Landau pole in the Standard Model with weakly interacting scalar fields

Yuta Hamada; Kiyoharu Kawana; Koji Tsumura

doi:10.1016/j.physletb.2015.05.072

Landau pole in the Standard Model with weakly interacting scalar fields

Yuta Hamada, Kiyoharu Kawana, Koji Tsumura

Research output: Contribution to journal › Article

32 Citations (Scopus)

Abstract

We consider the Standard Model with a new scalar field X which is an n_X representation of the SU(2)_L with a hypercharge Y_X. 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 n_X≥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.

Original language	English
Pages (from-to)	238-244
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	747
DOIs	https://doi.org/10.1016/j.physletb.2015.05.072
Publication status	Published - Jul 1 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.physletb.2015.05.072

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Hamada, Y., Kawana, K., & Tsumura, K. (2015). Landau pole in the Standard Model with weakly interacting scalar fields. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 747, 238-244. https://doi.org/10.1016/j.physletb.2015.05.072

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AU - Kawana, Kiyoharu

AU - Tsumura, Koji

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N2 - 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.

AB - 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.

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