A route towards immune protection

Gauge corrections and FI-term in 5D KK theories

“…We then compute the one loop contribution to the FI-terms using the method set up in ref. [17]. We find a quadratic divergence of the FI-term, which in turn induces a quadratic divergence for the Higgs mass term.…”

“…We use dimensional regularization for both the integral and the sum, as was discussed in ref. [17]. The relevant pole functions P ++ and P −− for the momentum spectra of φ ++ n and φ −− n are given in eq.…”

“…Here the 4 dimensional gauge coupling g is related to the 5 dimensional gauge couplingg by g 2 = 4 πRg 2 . We have introduced an IR regulator mass m, which is needed to turn the sum into a contour integral by complex function analysis [17]. To obtain this expression we made the following observations.…”

“…the fermionic traces are computed in 5 dimensions, the resulting sum and integrals are dimensionally regulated [17]. We denote the gauge correction (except the FI tadpole) to the self energy by Σ G and write the integrant as the sum of five terms, corresponding each to the diagrams given above…”

Effective potential and vacuum stability within universal extra dimensions

“…An interesting and natural generalization of dimensional regularization for sums over KK modes was developed in refs. [17], [18]. The strategy is in its spirit similar to the method adopted earlier by DPQ in ref.…”