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Appendix B—Renormalization Group Equations

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Higgs Potential and Naturalness After the Higgs Discovery

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Abstract

The beta functions of models that we consider in the thesis are listed. We have used the results of Refs. [1,2,3,4] to derive the equations below.

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Notes

  1. 1.

    As pointed out in Ref. [5], the beta function of \(\kappa \) contains typo in Ref. [6]: The last term misses in the text, although this term is taken into account in the numerical calculation.

References

  1. M.E. Machacek, M.T. Vaughn, Two loop renormalization group equations in a general quantum field theory. 1. Wave function renormalization. Nucl. Phys. B 222, 83 (1983)

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  2. M.E. Machacek, M.T. Vaughn, Two loop renormalization group equations in a general quantum field theory. 2. Yukawa couplings. Nucl. Phys. B 236, 221 (1984)

    Article  ADS  Google Scholar 

  3. M.E. Machacek, M.T. Vaughn, Two loop renormalization group equations in a general quantum field theory. 3. Scalar quartic couplings. Nucl. Phys. B 249, 70 (1985)

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  4. M.-X. Luo, H.-W. Wang, Y. Xiao, Two loop renormalization group equations in general gauge field theories. Phys. Rev. D 67, 065019 (2003). arXiv:hep-ph/0211440

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  5. C. Cai, Z.-M. Huang, Z. Kang, Z.-H. Yu, H.-H. Zhang, Perturbativity limits for scalar minimal dark matter with Yukawa interactions: septuplet. Phys. Rev. D 92(11), 115004 (2015). arXiv:1510.01559

  6. Y. Hamada, K. Kawana, K. Tsumura, Landau pole in the standard model with weakly interacting scalar fields. Phys. Lett. B 747, 238–244 (2015). arXiv:1505.01721

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  1. Theory Center, High Energy Accelerator Research Organization, Tsukuba, Ibaraki, Japan

    Yuta Hamada

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  1. Yuta Hamada
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Correspondence to Yuta Hamada .

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Hamada, Y. (2017). Appendix B—Renormalization Group Equations. In: Higgs Potential and Naturalness After the Higgs Discovery. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-3418-3_8

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