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Matching conditions and Higgs boson mass upper bounds reexamined

Matching conditions and Higgs boson mass upper bounds reexamined

Matching conditions relate couplings to particle masses. We discuss the importance of one-loop matching conditions in the Higgs boson and top quark sector as well as the choice of the matching scale. We argue for matching scales ${\ensuremath{\mu}}_{0,t}\ensuremath{\simeq}{m}_{t}$ and ${\ensuremath{\mu}}_{0,H}\ensuremath{\simeq}\mathrm{max}{{m}_{t}{,M}_{H}}$. Using these results, the two-loop Higgs boson mass upper bounds …