Readdressing the hierarchy problem in a Randall-Sundrum scenario with bulk Kalb-Ramond background
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Date
2015-12-16
Authors
Das, Saurya
Dey, Anindya
SenGupta, Soumitra
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Abstract
We re-examine the fine tuning problem of the Higgs mass, when an antisymmetric two form
Kalb-Ramond (KR) field is present in the bulk of a Randall-Sundrum (RS) braneworld. Taking into
account the back-reaction of the KR field, we obtain the exact correction to the RS metric. The
modified metric also warps the Higgs mass from Planck scale (in higher dimension) to TeV scale
(on the visible brane) for a range of values of kr exceeding the original RS value (where k = Planck
mass and r = size of extra dimension). However, it requires an extraordinary suppression of the
KR field density, indicating the re-appearence of the fine tuning problem in a different guise. The
new spacetime also generates a small negative cosmological constant on the visible brane. These
results are particularly relevant for certain string based models, where the KR field is unavoidably
present in the bulk. We further show that such a bulk antisymmetric KR field fails to stabilize the
braneworld.
Description
Sherpa Romeo green journal. “This is an author-created, un-copyedited version of an article accepted for publication/published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.”
Keywords
Kalb-Ramond field , KR field , Higgs mass , Randall-Sundrum
Citation
Das, S., Dey, A., & SenGupta, S. (2006). Readdressing the hierarchy problem in a Randall-Sundrum scenario with bulk Kalb-Ramond background. Classical and Quantum Gravity,23(20-21), L67-L72. https://doi.org/10.1088/0264-9381/23/20/L01