# Higgs Potential from Derivative Interactions

@article{Quadri2016HiggsPF,
title={Higgs Potential from Derivative Interactions},
journal={arXiv: High Energy Physics - Theory},
year={2016}
}
• Published 1 October 2016
• Physics
• arXiv: High Energy Physics - Theory
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

## Figures from this paper

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
• Physics
Journal 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
• Physics
The 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
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

## References

SHOWING 1-10 OF 63 REFERENCES
Renormalization of the abelian Higgs-Kibble model
• Physics
• 1975
Broken Symmetries and the Masses of Gauge Bosons
In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field theories in which spontaneous breakdown of symmetry under an internal Lie group occurs contain zero-mass
Physical Unitarity for Massive Non-abelian Gauge Theories in the Landau Gauge: Stueckelberg and Higgs
We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme
Abelian embedding formulation of the Stueckelberg model and its power-counting renormalizable extension
We elucidate the geometry of the polynomial formulation of the non-Abelian Stueckelberg mechanism. We show that a natural off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) differential exists
Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended standard model
• Physics
• 2014
We improve the sphaleron decoupling condition in the real singlet-extended standard model. The sphaleron energy is obtained using the finite temperature one-loop effective potential with daisy
Spontaneous Symmetry Breakdown without Massless Bosons
We examine a simple relativistic theory of two scalar fields, first discussed by Goldstone, in which as a result of spontaneous breakdown of U(1) symmetry one of the scalar bosons is massless, in
Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
• Physics
• 2013
A bstractWe calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory (SM EFT). Combining these results with
Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence
• Physics
• 2013
A bstractWe calculate the complete order y2 and y4 terms of the 59 × 59 one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory, where y is a