1993/07/14 by Markus Klomfass, M. Klomfass
Physics and Astronomy · #Black Holes and Theoretical Physics #Cutoff #Higgs boson #Lattice (music) #Lorentz covariance #Monte Carlo method #Particle physics theoretical and experimental studies #Phase transition #Quantum Chromodynamics and Particle Interactions #Triviality #Unitarity #Upper and lower bounds #hep-lat #hep-ph
paper · pdf · doi:10.1016/0550-3213(94)90395-6
published as Nucl.Phys. B412 (1994) 621-656 · 36 pages, CU-TP-603, Latex, 3 PS figures included, uuencoded compressed shar file
arxiv created 1993/07/14 · openalex publication_date 1994/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Investigating the cutoff dependence of the Higgs mass triviality bound, the ø4 theory is formulated on an F4 lattice which preserves Lorentz invariance to a higher degree than the commonly used hypercubic lattice. I solve this model non-perturbatively by evaluating the high-temperature expansion through 13th order following the approach of Lüscher and Weisz. The results are continued across the transition line into the broken phase by integrating the perturbative RG equations. In the broken phase, the renormalized coupling never exceeds two thirds of the three level unitarity bound when Λ / mR ⩾ 2. The results confirm recent Monte Carlo data and I obtain as an upper bound for the Higgs mass mR / ƒπ ⩽ 2.46 ± 0.02HTE ± 0.08PT at Λ / mR = 2.