Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-12-18
Nucl.Phys. B400 (1993) 309-346
Physics
High Energy Physics
High Energy Physics - Lattice
36 pages + 12 postscript figures (appended), Amsterdam ITFA 92-23, HLRZ Juelich 92-58, UCSD/PTH 92-38
Scientific paper
10.1016/0550-3213(93)90408-H
We present results for the renormalized quartic self-coupling $\lambda_R$ and the Yukawa coupling $y_R$ in a lattice fermion-Higgs model with two SU(2)$_L$ doublets, mostly for large values of the bare couplings. One-component (`reduced') staggered fermions are used in a numerical simulation with the Hybrid Monte Carlo algorithm. The fermion and Higgs masses and the renormalized scalar field expectation value are computed on $L^3 24$ lattices, where $L$ ranges from $6$ to $16$. In the scaling region these quantities are found to have a $1/L^2$ dependence, which is used to determine their values in the infinite volume limit. We then calculate the $y_R$ and $\lambda_R$ from their tree level definitions in terms of the masses and renormalized scalar field expectation value, extrapolated to infinite volume. The scalar field propagators can be described for momenta up to the cut-off by one fermion loop renormalized perturbation theory and the results for $\lambda_R$ and $y_R$ come out to be close to the tree level unitarity bounds. There are no signs that are in contradiction with the triviality of the Yukawa and quartic self-coupling.
Bock Wolfgang
Frick Christoph
Smit Jan
Vink Jeroen C.
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