Abstract

Extra dimensions have been used as attempts to explain several phenomena in particle physics. In this paper we investigate the role of brane-localized kinetic terms (BLKT) on thin and thick branes with two flat extra dimensions (ED) compactified on the chiral square, and an abelian gauge field in the bulk. The results for a thin brane have resemblance with the 5-D case, leading to a tower of massive KK particles whose masses depend upon the compactification radius and the BLKT parameter. On the other hand, for the thick brane scenario, there is no solution that satisfy the boundary conditions. Because of this, the mechanism of suppressed couplings due to ED (Landim and Rizzo, in JHEP 06:112, 2019) cannot be extended to 6-D.

Highlights

  • Extra dimensions (ED) have been considered over the decades as tools to address a wide range of issues in particle physics, such as the hierarchy [2–7] and flavor problems [8–10]

  • In this paper we investigate the role of brane-localized kinetic terms (BLKT) on thin and thick branes with two flat extra dimensions (ED) compactified on the chiral square, and an abelian gauge field in the bulk

  • The Standard Model (SM) itself might be extended by employing ED, in the so-called Universal Extra Dimension model (UED)

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Summary

Introduction

The 4-D gravity might be an emergent phenomenon from ED, as in the DGP model [37], where the brane-induced term was initially obtained for a massless spin field Such a mechanism is possible for a spin-1 field as well, in which a brane-localized kinetic term (BLKT) is generated on the brane by radiative corrections due to the interaction of localized matter fields on the brane with the gauge field in the bulk [38], and it holds for infinite-volume, warped and compact ED. A DM candidate may couple with the SM through a scalar mediator (or directly through Higgs if DM is a scalar field), via the so-called Higgs portal [60–83], or through a vector mediator, which is introduced by a kinetic-mixing term [84– 97] In both cases, much of the parameter space has been excluded by a diverse set of experiments and observations [93,98–134].

Gauge field in the bulk
BLKT on thin branes
BLKT on a thick brane
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