出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We report the first results from our comprehensive lattice tool set to explore non-perturbative aspects
of Higgs physics in the Standard Model. We demonstrate in Higgs-Yukawa models that
Higgs mass lower bounds and upper bounds can be determined in lattice simulations when triviality
requires the necessity of a finite cutoff to maintain non-zero interactions. The vacuum
instability problem is investigated and the lattice approach is compared with the traditional renormalization
group procedure which sets similar goals to correlate lower and upper Higgs mass
bounds with the scale of new physics. A novel feature of our lattice simulations is the use of
Ginsparg-Wilson fermions to represent the effects of Top quark loops in Higgs dynamics. The
need for chiral lattice fermions is discussed and the approach is extended to full Top-Higgs-QCD
dynamics. We also report results from our large NF analysis of Top-Higgs Yukawamodels to gain
analytic insight and to verify our new lattice tool set which is deployed in the simulations. The
role of non-perturbative lattice studies to investigate heavy Higgs particle scenarios is illustrated
in extensions of the Standard Model.
