# Higgs effective potential in the littlest Higgs model at the one-loop level

## Abstract

In this work we compute the contributions to the Higgs effective potential coming from the fermion and gauge boson sectors at the one-loop level in the context of the SU(5)/SO(5) littlest Higgs (LH) model using a cutoff {lambda} and including all finite parts. We consider both, the (SU(2)xU(1)){sub 1}x(SU(2)xU(1)){sub 2} and the (SU(2)xU(1)){sub 1}x(SU(2)xU(1)) gauge group versions of the LH model. We also show that the Goldstone bosons present in the model do not contribute to the effective potential at the one-loop level. Finally, by neglecting the contribution of higher dimensional operators, we discuss the restrictions that the new one-loop contributions set on the parameter space of the LH model and the need to include higher loop corrections to the Higgs potential.

- Authors:

- Departamento de Fisica Teorica, Universidad Complutense de Madrid, 28040 Madrid (Spain)
- (Spain)

- Publication Date:

- OSTI Identifier:
- 21020369

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.083527; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; HIGGS BOSONS; HIGGS MODEL; POTENTIALS; QUANTUM FIELD THEORY; SO-5 GROUPS; SU-2 GROUPS; U-1 GROUPS

### Citation Formats

```
Dobado, Antonio, Tabares-Cheluci, Lourdes, Penaranda, Siannah, and IFIC-Instituto de Fisica Corpuscular, CSIC-Universitat de Valencia, Apartado de Correos 22085, E-46071 Valencia.
```*Higgs effective potential in the littlest Higgs model at the one-loop level*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.083527.

```
Dobado, Antonio, Tabares-Cheluci, Lourdes, Penaranda, Siannah, & IFIC-Instituto de Fisica Corpuscular, CSIC-Universitat de Valencia, Apartado de Correos 22085, E-46071 Valencia.
```*Higgs effective potential in the littlest Higgs model at the one-loop level*. United States. doi:10.1103/PHYSREVD.75.083527.

```
Dobado, Antonio, Tabares-Cheluci, Lourdes, Penaranda, Siannah, and IFIC-Instituto de Fisica Corpuscular, CSIC-Universitat de Valencia, Apartado de Correos 22085, E-46071 Valencia. Sun .
"Higgs effective potential in the littlest Higgs model at the one-loop level". United States.
doi:10.1103/PHYSREVD.75.083527.
```

```
@article{osti_21020369,
```

title = {Higgs effective potential in the littlest Higgs model at the one-loop level},

author = {Dobado, Antonio and Tabares-Cheluci, Lourdes and Penaranda, Siannah and IFIC-Instituto de Fisica Corpuscular, CSIC-Universitat de Valencia, Apartado de Correos 22085, E-46071 Valencia},

abstractNote = {In this work we compute the contributions to the Higgs effective potential coming from the fermion and gauge boson sectors at the one-loop level in the context of the SU(5)/SO(5) littlest Higgs (LH) model using a cutoff {lambda} and including all finite parts. We consider both, the (SU(2)xU(1)){sub 1}x(SU(2)xU(1)){sub 2} and the (SU(2)xU(1)){sub 1}x(SU(2)xU(1)) gauge group versions of the LH model. We also show that the Goldstone bosons present in the model do not contribute to the effective potential at the one-loop level. Finally, by neglecting the contribution of higher dimensional operators, we discuss the restrictions that the new one-loop contributions set on the parameter space of the LH model and the need to include higher loop corrections to the Higgs potential.},

doi = {10.1103/PHYSREVD.75.083527},

journal = {Physical Review. D, Particles Fields},

number = 8,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}