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arXiv · 1904.06693

Off-shell renormalization in the presence of dimension 6 derivative operators. II. UV coefficients

Daniele Binosi·Andrea Quadri
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Abstract

The full off-shell one loop renormalization for all divergent amplitudes up to dimension 6 in the Abelian Higgs-Kibble model, supplemented with a maximally power counting violating higher-dimensional gauge-invariant derivative interaction $\sim g ~ ϕ^\dagger ϕ(D^μϕ)^\dagger D_μϕ$, is presented. This allows one to perform the complete renormalization of radiatively generated dimension 6 operators in the model at hand. We describe in details the technical tools required in order to disentangle the contribution to UV divergences parameterized by (generalized) non-polynomial field redefinitions. We also discuss how to extract the dependence of the $β$-function coefficients on the non-renormalizable coupling $g$ in one loop approximation, as well as the cohomological techniques (contractible pairs) required to efficiently separate the mixing of contributions associated to different higher-dimensional operators in a spontaneously broken effective field theory.

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Daniele Binosi, Andrea Quadri. 2019-09-10. Off-shell renormalization in the presence of dimension 6 derivative operators. II. UV coefficients. https://arxiv.org/abs/1904.06693

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