Prescription for finite oblique parameters S and U in extensions of the SM with m W ≠ m Z cos θ W
| Autor: | Francisco Albergaria, Luís Lavoura |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Physics G: Nuclear and Particle Physics. 49:085005 |
| ISSN: | 1361-6471 0954-3899 |
| DOI: | 10.1088/1361-6471/ac7a56 |
| Popis: | We consider extensions of the Standard Model with neutral scalars in multiplets of $SU(2)$ larger than doublets. When those scalars acquire vacuum expectation values, the resulting masses of the gauge bosons $W^\pm$ and $Z^0$ are not related by $m_W = m_Z \cos{\theta_W}$. In those extensions of the Standard Model the oblique parameters $S$ and $U$, when computed at the one-loop level, turn out to be either gauge-dependent or divergent. We show that one may eliminate this problem by modifying the Feynman rules of the Standard Model for some vertices containing the Higgs boson; the modifying factors are equal to $1$ in the limit $m_W = m_Z \cos{\theta_W}$. We give the result for $S$ in a model with arbitrary numbers of scalar $SU(2)$ triplets with weak hypercharges either $0$ or $1$. Comment: 33 pages, 2 figures |
| Databáze: | OpenAIRE |
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