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

Authors: 
Daniele Binosi, Andrea Quadri
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.
Date of publication: 
04/09/2019
Published in: 
J. High Energ. Phys. (2019) 2019: 32