TY - JOUR
T1 - Landau pole in the Standard Model with weakly interacting scalar fields
AU - Hamada, Yuta
AU - Kawana, Kiyoharu
AU - Tsumura, Koji
N1 - Funding Information:
This work is supported by the Grant-in-Aid for Japan Society for the Promotion of Science (JSPS) Fellows No. 25⋅1107 (Y.H.) and No. 27⋅1771 (K.K.). K.T.'s work is supported in part by the MEXT Grant-in-Aid for Scientific Research on Innovative Areas No. 26104704 .
PY - 2015/7/1
Y1 - 2015/7/1
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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U2 - 10.1016/j.physletb.2015.05.072
DO - 10.1016/j.physletb.2015.05.072
M3 - Article
AN - SCOPUS:84930634248
VL - 747
SP - 238
EP - 244
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -