Effective field theories in Rξ gauges
In effective quantum field theories, higher dimensional operators can affect the canonical normalization of kinetic terms at tree level. These contributions for scalars and gauge bosons should be carefully included in the gauge fixing procedure, in order to end up with a convenient set of Feynman rules. We develop such a setup for the linear Rξ-gauges. It involves a suitable reduction of the operator basis, a generalized gauge fixing term, and a corresponding ghost sector. Our approach extends previous results for the dimension-six Standard Model Effective Field Theory to a generic class of effective theories with operators of arbitrary dimension.
KeywordsEffective Field Theories Gauge Symmetry Spontaneous Symmetry Breaking
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- Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
- M.E. Peskin and D.V. Schroeder, An Introduction to quantum field theory, Perseus Books Publishing, L.L.C. (1995).Google Scholar
- M.Z. Iofa and I.V. Tyutin, Gauge Invariance of Spontaneously Broken Nonabelian Theories in the Bogolyubov-Parasiuk-HEPP-Zimmerman Method, Teor. Mat. Fiz. 27 (1976) 38 [Theor. Math. Phys. 27 (1976) 316] [INSPIRE].
- M. Iskrzynski, Classification of higher-dimensional operators in the Standard Model (in Polish), MSc Thesis, University of Warsaw, Poland, (2010).Google Scholar