1994/08/23 by Bernice Durand, Durand, Bernice, Tu Zhang +1
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9408357
24pp, MAD/TH/94-2, RevTex
arxiv created 1994/08/23 · openalex publication_date 1994/08/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting from a general \rm SU2× U1 invariant interaction Lagrangian \cal L\rm int with four-fermion interactions between top t and bottom b quarks and working in the bubble approximation, we get a single Higgs as a bound state of quark pairs by allowing both ⟨ tt⟩ and ⟨ bb⟩ to be nonzero and the t and b states to mix. We find relations between the three four-fermion couplings gt, gb, and gtb and show the new result that they may all be finite, with gΛ2≫1, where Λ is the cutoff. Thus the dimensionless couplings g' = gΛ2 correspond to strong interactions. Previous work with either one or more quark condensates found a fine-tuning condition giving gΛ2∼ O(1). The Higgs mass mH is approximately the single-vev value mH≈ 2mt, and the quark mass ratio is mt/mb≈ gb/gtb. There is a new symmetry of \cal L\rm int, corresponding to a flat direction in the space of composite states. Breaking this symmetry by turning on one small eigenvalue of the coupling matrix turns on the quark masses and introduces the massive Higgs state, so that mb,mt,mH≪ Λ is natural.