Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-24
Class.Quant.Grav.23:L67,2006
Physics
High Energy Physics
High Energy Physics - Theory
4 Pages, Revtex, 1 figure. Important changes and addition. Version to appear in Class. Quant. Grav. Letters
Scientific paper
10.1088/0264-9381/23/20/L01
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.
Das Saurya
Dey Anindya
SenGupta Soumitra
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