| Summary: | We study the quantum structure of four-dimensional N = 2 superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield omega. The model is described by harmonic superfield sigma-model metric g(ab)(omega) and two potential-like super-fields L-a(+)+(omega) and L(+4)(omega). In bosonic component sector this model describes some hyper-Miller manifold. The manifestly N = 2 supersymmetric covariant backgroundquantum splitting is constructed and the superfield propertime technique is developed to calculate the one-loop effective action. The one-loop divergences of the superfield effective action are found for arbitrary g(ab)(omega), L-a(+)+(omega), L(+4)(omega), where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the N = 2 SYM theory is used. The component structure of divergences in the bosonic sector is discussed.
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