Abstract

It is well known that, in a braneworld model, the localization of fermions on a lower dimensional submanifold (say a TeV 3-brane) is governed by the gravity in the bulk, which also determines the corresponding phenomenology on the brane. Here we consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature like F(R) gravity. In such a scenario, we explore the role of higher curvature terms on the localization of bulk fermions which in turn determines the effective radion–fermion coupling on the brane. Our result reveals that, for appropriate choices of the higher curvature parameter, the profiles of the massless chiral modes of the fermions may get localized near the TeV brane, while those for massive Kaluza–Klein (KK) fermions localize towards the Planck brane. We also explore these features in the dual scalar–tensor model by appropriate transformations. The localization property turns out to be identical in the two models. This rules out the possibility of any signature of massive KK fermions in TeV scale collider experiments due to higher curvature gravity effects.

Highlights

  • Among various extra dimensional models proposed over the last several years, the warped extra dimensional model pioneered by Randall and Sundrum (RS) [6] earned special attention since it resolves the gauge hierarchy problem without introducing any intermediate scale in the theory

  • It is well known that the Einstein–Hilbert action can be generalized by adding higher order curvature terms which naturally arise from the diffeomorphism property of the action

  • In this context F(R) [32,33,34,35,36,37,38], Gauss– Bonnet (GB) [39,40,41] or more generally Lanczos–Lovelock gravity are some of the candidates in higher curvature gravitational theory

Read more

Summary

Introduction

Among various extra dimensional models proposed over the last several years, the warped extra dimensional model pioneered by Randall and Sundrum (RS) [6] earned special attention since it resolves the gauge hierarchy problem without introducing any intermediate scale (between Planck and TeV) in the theory. Using this relation between σ (x, φ) and A(x, φ), one ends up with the following scalar–tensor action: where (< 0) is the bulk cosmological constant and Vh, Vv are the brane tensions on the hidden and the visible brane, respectively This higher curvature-like F(R) model (in Eq (3)) can be transformed into a scalar–tensor theory by using the technique discussed in the previous section. Model was transformed to the potential of the scalar–tensor model in the leading order of κvh It guarantees the validity of the solution of the spacetime metric (i.e. G M N ) in the original F(R) theory. The presence of higher curvature gravity admits a general class of warped spacetime solutions where the bulk curvature depends on the extra dimensional coordinate, which is in contrast to the original RS situation where the bulk curvature is constant. In the two subsections, we discuss the localization scenario for massless and massive KK modes, respectively

Massless KK mode
Massive KK mode
Conclusion
In scalar–tensor theory
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call