# Higgs Potential from Derivative Interactions

@article{Quadri2016HiggsPF, title={Higgs Potential from Derivative Interactions}, author={Andrea Quadri}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

A formulation of the linear $\sigma$ model with derivative interactions is studied. The classical theory is on-shell equivalent to the $\sigma$ model with the standard quartic Higgs potential. The mass of the scalar mode only appears in the quadratic part and not in the interaction vertices, unlike in the ordinary formulation of the theory. Renormalization of the model is discussed. A non power-counting renormalizable extension, obeying the defining functional identities of the theory, is…

## 6 Citations

Off-shell renormalization in Higgs effective field theories

- Physics
- 2017

A bstractThe off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential ∼Φ†Φ−υ22N$$ \sim {\left({\Phi}^{\dagger}\Phi -\frac{\upupsilon^2}{2}\right)}^N $$ with…

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

- Physics
- 2020

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…

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

- PhysicsJournal of High Energy Physics
- 2019

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…

Background field method and generalized field redefinitions in effective field theories

- PhysicsThe European Physical Journal Plus
- 2021

We study the non-linear background field redefinitions arising at the quantum level in a spontaneously broken effective gauge field theory. The non-linear field redefinitions are crucial for the…

Slavnov—Taylor Identities in Spontaneously Broken Non-Abelian Effective Gauge Theories

- Mathematics
- 2019

We study the solution to the Slavnov-Taylor identities in spontaneously broken effective gauge theories for a non-Abelian gauge group. The procedure to extract the β -functions of the theory in the…

Off-shell renormalization in the presence of dimension 6 derivative operators. Part III. Operator mixing and β functions

- Mathematics
- 2020

We evaluate the one-loop $\beta$ 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…

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