RandallSundrum model
Author
Priscila de Aquino
 Katholieke Universiteit Leuven & Universite Catholique de Louvain  CP3
 priscila@…
Description of the model & references
One popular approach to solve the Hierarchy Problem of the Standard Model is to extend spacetime to higher dimensions. In this framework, the usual fourdimensional spacetime is contained in a fourdimensional brane embedded in a large structure with N additional dimensions, the bulk.
Here, we shall focus on the RandallSundrum theory, where gravitational interactions are the only ones propagating into the bulk, which dilutes their coupling strength and make it appear weaker inside the fourdimensional branes. As a consequence, the graviton field will be seem as a sum of N fourdimensional particles with the same quantum numbers, but increasing mass. These excitation of the gravitons are the massive KaluzaKlein states.
In this implementation, we consider a theory with five dimensions, in which the fifth dimension is spatial and compact. The higher dimensional metric is warped by a exponential factor. We start from a generic effective Lagrangian of a unbroken gauge theory with general gauge, fermionic and scalar fields.
 Phys. Rev. D59 (1999) 105006: T. Han, J. D. Lykken, and R.J. Zhang, On KaluzaKlein states from large extra dimensions.
 ''Nucl. Phys. B544 (1999)'' : G. F. Giudice, R. Rattazzi, J. D. Wells, Quantum gravity and extra dimensions at highenergy colliders. \
Notice that these references are applied for the LED theory. Here, the effective coupling (graviton with the SM fields) is different and depends on the exponential factor of the 5D metric.
From this general model, we derived a realistic Large Extra Dimensional theory containing all Standard Model fields (full RS model). We only consider the lowest KaluzaKlein massive state of the graviton.
 Eur. Phys. J. C56 (2008) 435–447: K. Hagiwara, J. Kanzaki, Q. Li, and K. Mawatari, HELAS and MadGraph/MadEvent? with spin2 particles.
Model files & extensions
Attachments (2)

RS.fr
(29.0 KB) 
added by PriscilaAquino 7 years ago.
RS model file

RS.nb
(123.6 KB) 
added by PriscilaAquino 7 years ago.
RS Mathematica notebook
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