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Main Authors: Yang, Ke, Gu, Bao-Min, Zhong, Yi
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2307.14205
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author Yang, Ke
Gu, Bao-Min
Zhong, Yi
author_facet Yang, Ke
Gu, Bao-Min
Zhong, Yi
contents By taking advantage of the braneworld sum rules, we explore the feasibility of constructing a flat 3-brane scenario consisting solely of positive tension branes in a 5D extension of the Lorentz-violating massive gravity. It is found that the theory supports three distinct brane configurations, one of which is exactly what we expected, consisting solely of two positive tension branes. The cosmological problem of Randall-Sundrum-1 model and the gauge hierarchy problem can be solved in this model simultaneously. Furthermore, the analysis of linear perturbations reveals that the tensor, vector and scalar modes are all massive and share the same mass spectrum, except that the ground state of vector mode is absent. Moreover, the tensor and vector modes are robust, but the scalar mode is ghost-like. Interestingly, even though the Kaluza-Klein gravitons have an extremely small mass splitting scale, an estimation of the effective gravitational potential and production of these gravitons on the brane indicates that the phenomenology of the present model is equivalent to that of the 6D ADD model.
format Preprint
id arxiv_https___arxiv_org_abs_2307_14205
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Braneworld sum rules and positive tension branes in a massive gravity
Yang, Ke
Gu, Bao-Min
Zhong, Yi
High Energy Physics - Theory
By taking advantage of the braneworld sum rules, we explore the feasibility of constructing a flat 3-brane scenario consisting solely of positive tension branes in a 5D extension of the Lorentz-violating massive gravity. It is found that the theory supports three distinct brane configurations, one of which is exactly what we expected, consisting solely of two positive tension branes. The cosmological problem of Randall-Sundrum-1 model and the gauge hierarchy problem can be solved in this model simultaneously. Furthermore, the analysis of linear perturbations reveals that the tensor, vector and scalar modes are all massive and share the same mass spectrum, except that the ground state of vector mode is absent. Moreover, the tensor and vector modes are robust, but the scalar mode is ghost-like. Interestingly, even though the Kaluza-Klein gravitons have an extremely small mass splitting scale, an estimation of the effective gravitational potential and production of these gravitons on the brane indicates that the phenomenology of the present model is equivalent to that of the 6D ADD model.
title Braneworld sum rules and positive tension branes in a massive gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2307.14205