# The Renormalization Group Running of the Higgs Quartic Coupling: Unification vs. Phenomenology

## Abstract

Within the framework of the standard model (SM) of elementary particles, we obtained numerical solutions for the running Higgs mass, considering the renormalization group equations at the one and two loop approximation. Through the triviality condition (TC) and stability condition (SC) on the Higgs quartic coupling {lambda}H the bounds on the Higgs running mass have been fixed. The numerical results are presented for two special cases. One considering an unification of the three gauge couplings at the energy EU 1013 GeV and the other using the current experimental data for the gauge couplings.

- Authors:

- Departamento de Fisica, Esc. Sup. de Fis. y Mat., Instituto Politecnico Nacional, U.P. 'Adolfo Lopez Mateos' Edif. 9, C.P. 07738, Mexico, D.F. (Mexico)
- Departamento de Fisica, Cinvestav, Av. IPN 2508, C.P. 07360, Mexico, D.F. (Mexico)

- Publication Date:

- OSTI Identifier:
- 21054795

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 885; Journal Issue: 1; Conference: EAV06: Advanced summer school in physics 2006: Frontiers in contemporary physics, Mexico City (Mexico), 10-14 Jul 2006; Other Information: DOI: 10.1063/1.2563184; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COUPLING; GEV RANGE; HIGGS BOSONS; HIGGS MODEL; NUMERICAL SOLUTION; RENORMALIZATION; REST MASS; STABILITY; STANDARD MODEL

### Citation Formats

```
Montes de Oca Y, J. H., Juarez W, S. R., and Kielanowski, P..
```*The Renormalization Group Running of the Higgs Quartic Coupling: Unification vs. Phenomenology*. United States: N. p., 2007.
Web. doi:10.1063/1.2563184.

```
Montes de Oca Y, J. H., Juarez W, S. R., & Kielanowski, P..
```*The Renormalization Group Running of the Higgs Quartic Coupling: Unification vs. Phenomenology*. United States. doi:10.1063/1.2563184.

```
Montes de Oca Y, J. H., Juarez W, S. R., and Kielanowski, P.. Fri .
"The Renormalization Group Running of the Higgs Quartic Coupling: Unification vs. Phenomenology". United States.
doi:10.1063/1.2563184.
```

```
@article{osti_21054795,
```

title = {The Renormalization Group Running of the Higgs Quartic Coupling: Unification vs. Phenomenology},

author = {Montes de Oca Y, J. H. and Juarez W, S. R. and Kielanowski, P.},

abstractNote = {Within the framework of the standard model (SM) of elementary particles, we obtained numerical solutions for the running Higgs mass, considering the renormalization group equations at the one and two loop approximation. Through the triviality condition (TC) and stability condition (SC) on the Higgs quartic coupling {lambda}H the bounds on the Higgs running mass have been fixed. The numerical results are presented for two special cases. One considering an unification of the three gauge couplings at the energy EU 1013 GeV and the other using the current experimental data for the gauge couplings.},

doi = {10.1063/1.2563184},

journal = {AIP Conference Proceedings},

number = 1,

volume = 885,

place = {United States},

year = {Fri Feb 09 00:00:00 EST 2007},

month = {Fri Feb 09 00:00:00 EST 2007}

}

DOI: 10.1063/1.2563184

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