We show how the processes e − e + → ZH, γH, which will be studied at LEP2 and at high energy colliders, could be used to search for types of New Physics (NP) characterized by an effective NP scale in the few TeV range and affecting the scalar sector only. In particular, for e − e + → ZH, we propose the measurement of suitable azimuthal asymmetries determined from the angular distribution of the Z-decay plane with respect to the Z-production one. Such asymmetries, together with the ZH angular distribution, may allow a complete disentangling of the five dim = 6 operators, describing the residual NP effects to the Higgs couplings. We note that the first four of these operators contribute to processes relevant to LEP1 precision measurements only at the 1-loop level, while the last operator remains completely unconstrained at this level. The process e − e + → γH is also very sensitive to NP and should bring important independent information.

We perform a numerical investigation of the field evolution in the smooth hybrid inflationary model. We find that for almost all the examined initial values we do get an adequate amount of inflation. Our results show that the model is ''natural'' and satisfactory. ͓S0556-2821͑96͒01014-4͔PACS number͑s͒: 98.80.Cq, 12.10.Dm

We perform a numerical investigation of the fields evolution in the supersymmetric inflationary model based on radiative corrections. Supergravity corrections are also included. We find that, out of all the examined initial data, only about 10% give an adequate amount of inflation and can be considered as "natural". Moreover, these successful initial conditions appear scattered and more or less isolated.

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