English

Off-shell renormalization in the presence of dimension 6 derivative operators. III. Operator mixing and $\beta$ functions

High Energy Physics - Phenomenology 2020-06-24 v1 High Energy Physics - Theory

Abstract

We evaluate the one-loop β\beta functions of all dimension 6 parity-preserving operators in the Abelian Higgs-Kibble model. No on-shell restrictions are imposed; and the (generalized) non-polynomial field redefinitions arising at one-loop order are fully taken into account. The operator mixing matrix is also computed, and its cancellation patterns explained as a consequence of the functional identities of the theory and power-counting conditions.

Keywords

Cite

@article{arxiv.2001.07430,
  title  = {Off-shell renormalization in the presence of dimension 6 derivative operators. III. Operator mixing and $\beta$ functions},
  author = {D. Binosi and A. Quadri},
  journal= {arXiv preprint arXiv:2001.07430},
  year   = {2020}
}

Comments

34 pages, no figures