NMC and the Fine-Tuning Problem on the Brane

We propose a new solution to the fine-tuning problem related to coupling constant λ of the potential. We study a quartic potential of the form λϕ4 in the framework of the Randall-Sundrum type II braneworld model in the presence of a Higgs field which interacts nonminimally with gravity via a possibl...

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Main Authors: A. Safsafi, M. Bennai
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/508753
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author A. Safsafi
M. Bennai
author_facet A. Safsafi
M. Bennai
author_sort A. Safsafi
collection DOAJ
description We propose a new solution to the fine-tuning problem related to coupling constant λ of the potential. We study a quartic potential of the form λϕ4 in the framework of the Randall-Sundrum type II braneworld model in the presence of a Higgs field which interacts nonminimally with gravity via a possible interaction term of the form -(ξ/2)ϕ2R. Using the conformal transformation techniques, the slow-roll parameters in high energy limit are reformulated in the case of a nonminimally coupled scalar field. We show that, for some value of a coupling parameter ξ and brane tension T, we can eliminate the fine-tuning problem. Finally, we present graphically the solutions of several values of the free parameters of the model.
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spelling doaj-art-f62b5820613a4610b00a6908ca9cb2ff2025-02-03T01:03:46ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/508753508753NMC and the Fine-Tuning Problem on the BraneA. Safsafi0M. Bennai1Laboratoire de Physique de la Matière Condensée (URAC10), Equipe Physique Quantique et Applications, Faculté des Sciences Ben M'sik, BP 7955, Université Hassan II-Mohammedia, 20670 Casablanca, MoroccoLaboratoire de Physique de la Matière Condensée (URAC10), Equipe Physique Quantique et Applications, Faculté des Sciences Ben M'sik, BP 7955, Université Hassan II-Mohammedia, 20670 Casablanca, MoroccoWe propose a new solution to the fine-tuning problem related to coupling constant λ of the potential. We study a quartic potential of the form λϕ4 in the framework of the Randall-Sundrum type II braneworld model in the presence of a Higgs field which interacts nonminimally with gravity via a possible interaction term of the form -(ξ/2)ϕ2R. Using the conformal transformation techniques, the slow-roll parameters in high energy limit are reformulated in the case of a nonminimally coupled scalar field. We show that, for some value of a coupling parameter ξ and brane tension T, we can eliminate the fine-tuning problem. Finally, we present graphically the solutions of several values of the free parameters of the model.http://dx.doi.org/10.1155/2014/508753
spellingShingle A. Safsafi
M. Bennai
NMC and the Fine-Tuning Problem on the Brane
Advances in High Energy Physics
title NMC and the Fine-Tuning Problem on the Brane
title_full NMC and the Fine-Tuning Problem on the Brane
title_fullStr NMC and the Fine-Tuning Problem on the Brane
title_full_unstemmed NMC and the Fine-Tuning Problem on the Brane
title_short NMC and the Fine-Tuning Problem on the Brane
title_sort nmc and the fine tuning problem on the brane
url http://dx.doi.org/10.1155/2014/508753
work_keys_str_mv AT asafsafi nmcandthefinetuningproblemonthebrane
AT mbennai nmcandthefinetuningproblemonthebrane