Determining Lines of Constant Physics in the Confinement Phase of the SU(2) Higgs Model

Abstract

We present a method for finding lines of constant physics in the confinement phase of the SU(2) Higgs model on the lattice. The model is considered at finite values of the cut-off where it behaves like an effective field theory with three independent couplings. In particular, a renormalised quantity sensitive to a variation of the bare Higgs quartic self-coupling is constructed from generalised Binder cumulants. Numerical results for the non-perturbative matching of the bare parameters of the model between beta=2.2 and beta=2.4 are presented.

Comments: 10 pages, 4 figures, small changes in the introduction