...Compositeness

The results presented here are from a collaboration with Jens Erler. For more details, see [1].

...running

There have been several recent reevaluations [9]-[12] of the hadronic contribution to the running of 63#63. Following a correction to [12] these are in reasonable agreement. We use 64#64 from [9].

...does

The relation makes use only of the assumption that the LEP and SLD observables are dominated by the Z-pole. The one loophole is the possibility of an important contribution from other sources, such as new 4-fermi operators. These are mainly significant slightly away from the pole (at the pole they are out of phase with the Z amplitude and do not interfere). However, a combined analysis of all constraints renders this possibility unlikely [13].

...unification

In this case one should actually use the value 180#180 appropriate to the lower Higgs range expected in the supersymmetric extension of the standard model.

...GeV

At tree-level, 224#224.

...Higgs

This is true if the second Higgs doublet is much heavier than 225#225.

...themselves

Non-universal gaugino masses can lead to larger effects [28], but these would explicity break the grand unification gauge symmetry.

...couplings

At the Z-pole the effects of new operators are out of phase with the Z amplitude and do not interfere. Interference effects can survive away from the pole, but there the Z amplitude is smaller.

...positive,

One can have 362#362 for Majorana fermions [40] or boson multiplets with vacuum expectation values [41].

...parameters

Three additional parameters are needed if the new physics scale is comparable to 401#401 [43].

Mon Nov 27 18:14:10 EST 1995