Off-shell renormalization in the presence of dimension 6 derivative operators. I. General theory

Abstract

The consistent recursive subtraction of UV divergences order by order in the loop expansion for spontaneously broken effective field theories with dimension-6 derivative operators is presented for an Abelian gauge group. We solve the Slavnov-Taylor identity to all orders in the loop expansion by homotopy techniques and a suitable choice of invariant field coordinates (named bleached variables) for the linearly realized gauge group. This allows one to disentangle the gauge-invariant contributions to off-shell 1-PI amplitudes from those associated with the gauge-fixing and (generalized) non-polynomial field redefinitions (that do appear already at one loop). The tools presented can be easily generalized to the non-Abelian case.

37 pages, 3 figures; updated version to match the published one

References in corpus (2)

• Off-shell renormalization in Higgs effective field theories
• Renormalization Group Equation for Weakly Power Counting Renormalizable Theories

Cited by in corpus (5)

• Renormalizable Extension of the Abelian Higgs-Kibble Model with a dimension 6 operator
• Off-shell renormalization in the presence of dimension 6 derivative operators. III. Operator mixing and $\beta$ functions
• Gauge-Invariant Quantum Fields
• Decoupling Limits in Effective Field Theories via Higher Dimensional Operators
• Renormalizable Extension of the Abelian Higgs-Kibble Model with a Dim.6 Derivative Operator