First lattice evidence for a non-trivial renormalization of the Higgs condensate

Abstract

General arguments related to ``triviality'' predict that, in the broken phase of $(\lambda {\Phi }^4{)}_4$ theory, the condensate $<\Phi >$ re-scales by a factor $Z_{\varphi }$ different from the conventional wavefunction-renormalization factor, $Z_{prop}$. Using a lattice simulation in the Ising limit we measure $Z_{\varphi }=m^2\chi$ from the physical mass and susceptibility and $Z_{prop}$ from the residue of the shifted-field propagator. We find that the two $Z$'s differ, with the difference increasing rapidly as the continuum limit is approached. Since $Z_{\varphi }$ affects the relation of $<\Phi >$ to the Fermi constant it can sizeably affect the present bounds on the Higgs mass.

arXiv comment10 pages, 3 figures, 1 table, Latex2e

References in corpus (1)

• A lattice test of alternative interpretations of ``triviality'' in $(\lambda {\Phi }^4{)}_4$ theory

Cited by in corpus (6)

• Physical mechanisms generating spontaneous symmetry breaking and a hierarchy of scales
• Non-vanishing boundary effects and quasi-first order phase transitions in high dimensional Ising models
• Renormalization Group Functions of the ϕ^4 Theory in the Strong Coupling Limit: Analytical Results
• Further lattice evidence for a large re-scaling of the Higgs condensate
• Triviality problem and the high-temperature expansions of the higher susceptibilities for the Ising and the scalar field models on four-, five- and six-dimensional lattices
• Indications on the Higgs boson mass from lattice simulations