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arXiv · hep-ph/9610272

Matching conditions and Higgs mass upper bounds revisited

Thomas Hambye·Kurt Riesselmann
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Abstract

Matching conditions relate couplings to particle masses. We discuss the importance of one-loop matching conditions in Higgs and top-quark sector as well as the choice of the matching scale. We argue for matching scales $μ_{0,t} \simeq m_t$ and $μ_{0,H} \simeq max[ m_t, M_H ]$. Using these results, the two-loop Higgs mass upper bounds are reanalyzed. Previous results for $Λ\approx$ few TeV are found to be too stringent. For $Λ=10^{19}$ GeV we find $M_H < 180 \pm 4\pm 5$ GeV, the first error indicating the theoretical uncertainty, the second error reflecting the experimental uncertainty due to $m_t=175\pm6$ GeV.

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Thomas Hambye, Kurt Riesselmann. 1996-10-07. Matching conditions and Higgs mass upper bounds revisited. https://doi.org/10.1103/physrevd.55.7255

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