Triviality and the Higgs mass lower bound

Details Triviality and the Higgs mass lower bound Triviality and the Higgs mass lower bound

2004-09-17

arxiv.org/abs/hep-lat/0409112v1

Physics

High Energy Physics

High Energy Physics - Lattice

Plenary talk presented at Lattice2004(plenary), Fermilab, June 21-26, 2004; 7 pages, 10 figures

Scientific paper

10.1016/j.nuclphysbps.2004.11.29

In the minimal Standard Model, it is commonly believed that the Higgs mass cannot be too small, otherwise Top quark dynamics makes the Higgs potential unstable. Although this Higgs mass lower bound is relevant for current phenomenology, we show that the Higgs vacuum instability in fact does not exist and only appears when treating incorrectly the cut-off in the renormalization of a trivial theory. We also demonstrate how to calculate correctly the regulator-dependent Higgs mass lower bound.

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