Guises and Disguises of Quadratic Divergences
arXiv:1410.1063 · doi:10.1016/j.aop.2014.10.002
Abstract
In this contribution, we present a new perspective on the control of quadratic divergences in quantum field theory, in general, and in the Higgs naturalness problem, in particular. Our discussion is essentially based on an approach where UV divergences are parameterized, after being reduced to basic divergent integrals (BDI) in one internal momentum, as functions of a cutoff and a renormalization group scale . We illustrate our proposal with well-known examples, such as the gluon vacuum self energy of QCD and the Higgs decay in two photons within this approach. We also discuss frameworks in effective low-energy QCD models, where quadratic divergences are indeed fundamental.
Accepted for publication at Annals of Physics
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- A brief review of Implicit Regularization and its connection with the BPHZ theorem
- Gauge and Poincare properties of the UV cutoff and UV completion in quantum field theory
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