https://doi.org/10.1140/epjc/s10052-017-5201-2
Regular Article - Theoretical Physics
Quadratic contributions of softly broken supersymmetry in the light of loop regularization
1
Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China
2
International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), Beijing, 100190, China
3
School of Physical Sciences, University of Chinese Academy of Sciences, No.19A Yuquan Road, Beijing, 100049, China
* e-mail: dbai@itp.ac.cn
Received:
21
June
2017
Accepted:
4
September
2017
Published online:
16
September
2017
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.
© The Author(s), 2017
