2004/09/30 by D. M. Ghilencea, D.M Ghilencea · 29 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Dimensional regularization #Effective field theory #Feynman diagram #Higgs boson #Noncommutative and Quantum Gravity Theories #Orbifold #Quantum and Classical Electrodynamics #Quantum field theory #Renormalization #Scalar (mathematics) #Scalar field #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/03/009
published in Journal of High Energy Physics 2005(03), 009 (Springer Nature) · 19 pages, LaTeX; one paragraph added in section 3
arxiv created 2005/02/28 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using a 5D N=1 supersymmetric toy-model compactified on S1/(Z2 x Z2'), with a ``brane-localised'' superpotential, it is shown that higher (dimension) derivative operators are generated as one-loop counterterms to the (mass)2 of the zero-mode scalar field, to ensure the quantum consistency of the model. Such operators are just a result of the compactification and integration of the bulk modes. They are relevant for the UV momentum scale dependence of the (mass)2 of the zero-mode scalar field, regarded as a Higgs field in more realistic models. While suppressed for a small compactification radius R, these operators can affect the predictive power of models with a large value for R. A general method is also provided for a careful evaluation of infinite sums of 4D divergent loop-integrals (of Feynman diagrams) present in field theory orbifolds. With minimal changes, this method can be applied to specific orbifold models for a simple evaluation of their radiative corrections and the overall divergences.