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Precise Vacuum Stability Bound in the Standard Model (addendum)

Marc Sher
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Abstract

This is an addendum to the paper of the above title published in Physics Letters B317, 159 (1993). In that paper, I found the lower bound to the Higgs mass as a function of the top quark mass one obtains by requiring that the standard model vacuum be stable. It included all higher order corrections to two-loops, precise definitions of the Higgs and top masses, etc. Unfortunately, the results were given for top quark masses between 120 and 160 GeV. In this addendum, I give the results for masses between 160 and 190 GeV. The main result, using a value of 0.117 for the strong coupling at the Z-mass, is M_Higgs > 132 + 2.2 (M_top-170) in GeV units. This increases (decreases) by 4.5 GeV if the strong coupling decreases (increases) by 0.007, and is accurate to 1 GeV in the top mass. This will be submitted to Phys. Lett. as an addendum.

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Marc Sher. 1994-04-27. Precise Vacuum Stability Bound in the Standard Model (addendum). https://arxiv.org/abs/hep-ph/9404347

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