Remarks on the upper bounds on the Higgs boson mass from triviality

Jae Sik Lee; Jae Kwan Kim

doi:10.1103/PhysRevD.53.6689

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Remarks on the upper bounds on the Higgs boson mass from triviality

Jae Sik Lee^* and Jae Kwan Kim

Department of Physics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea

^*Electronic address: jslee@chep6.kaist.ac.kr

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Phys. Rev. D 53, 6689 – Published 1 June, 1996

DOI: https://doi.org/10.1103/PhysRevD.53.6689

Abstract

We study the effects of the one-loop matching conditions on Higgs boson and top quark masses on the triviality bounds on the Higgs boson mass using $β_{λ}$ with corrected two-loop coefficients. We obtain quite higher results than previous ones and observe that the triviality bounds are not nearly influenced by varying the top quark mass over the range measured at CDF and D0. The effects of typographical errors in $β_{λ}^{(2)}$ and the one-loop matching condition on the top quark mass are negligible. We estimate the size of the effects on the triviality bounds from the one-loop matching condition on the Higgs boson mass.

References (8)

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[c1] M. A. Beg, C. Panagiotakopolus, and A. Sirlin, Phys. Rev. Lett. 52, 883 (1984)

[c2] M. Lindner, Z. Phys. C 31, 295 (1986)

[c3] B. Grzadkowski and M. Lindner, Phys. Lett. B 178, 81 (1986)

[c4] C. Ford, D. R. T. Jones, P. W. Stephenson, and M. B. Einhorn, Nucl. Phys. B395, 17 (1993)

[c5] M. E. Machacek and M. T. Vaughn, Nucl. Phys. B236, 221 (1984) J. R. Espinosa and M. Quiros, Phys. Lett. B 266, 389 (1991)

[c6] A. Sirlin and R. Zucchini, Nucl. Phys. B266, 389 (1986) R. Hempfling and B. A. Kniehl, Phys. Rev. D 51, 1386 (1995)

[c7] CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 74, 2626 (1995) D0 Collaboration, S. Abachi et al., ibid. 74, 2632 (1995)

[c8] J. F. Gunion, H. E. Haber, G. Kane, and S. Dawson, The Higgs Hunter's Guide (Addison-Wesley, New York, 1990), Fig. 2.17

Physical Review D

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Remarks on the upper bounds on the Higgs boson mass from triviality

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