Loop regularization (LORE) is a novel regularization scheme in modern quantum
field theories. It makes no change to the spacetime structure and respects both
gauge symmetries and supersymmetry. As a result, LORE should be useful in
calculating loop corrections in supersymmetry phenomenology. To demonstrate
further its power, in this article we revisit in the light of LORE the old
issue of the absence of quadratic contributions (quadratic divergences) in
softly broken supersymmetric field theories. It is shown explicitly by Feynman
diagrammatic calculations that up to two loops the Wess-Zumino model with soft
supersymmetry breaking terms (WZ' model), one of the simplest models with the
explicit supersymmetry breaking, is free of quadratic contributions. All the
quadratic contributions cancel with each other perfectly, which is consistent
with results dictated by the supergraph techniques.Comment: 25 pages, 3 figures; accepted versio
