Quadratic contributions of softly broken supersymmetry in the light of loop regularization

Abstract

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 further demonstrate 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.

To $d$, or not to $d$: Recent developments and comparisons of regularization schemes

“…5.4. 13 Similar results for the integrals are obtained when using 'loop regularization' (lore), a strictly fourdimensional regularization prescription [92][93][94]. In lore, UV and IR divergences are regularized via logarithms of a regulator mass Mc and a soft scale µs, respectively; surface terms as appearing in Eq.…”

Dimensional schemes for cross sections at NNLO

“…In fact, the fermionic contributions have been computed recently [24] using 'four-dimensional regularization' (fdr) [25,26]. Similar to 'implicit regularization' [27][28][29] and 'loop regularization' [30,31], fdr is a four-dimensional framework to compute higher-order corrections. Another approach that is being investigated is to use loop-tree duality to deal with IR singularities at the integrand level [32,33].…”