Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-09-24
ActaPhys.Polon.B38:3617-3626,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
Presented at the XXXI International Conference of Theoretical Physics "Matter To The Deepest: Recent Developments In Physics o
Scientific paper
Perturbative unitarity for $\wlwl$ scattering is discussed within the Randall-Sundrum model. It is shown that the exchange of massive 4D Kaluza-Klein gravitons leads to amplitudes growing linearly with the CM energy squared. Summing over KK gravitons up to a scale $\lbar$ and testing unitarity at $\rts=\lbar$, one finds that unitarity is violated for $\lbar$ below the 'naive dimensional analysis' scale, $\lnda$. It is also shown that the exchange of gravitons can substantially relax the upper limit from unitarity on the mass of the Standard Model Higgs boson - consistency with unitarity for all $\rts$ below $\lbar$ is possible for $\mh$ as large as $ 1.4\tev$, depending on the curvature of the background metric. Observation of the mass and width (or cross section) of one or more KK gravitons at the LHC will directly determine the curvature and the scale $\lw$ specifying the couplings of matter to the KK gravitons. With this information and a measurement of the Higgs boson mass it will be possible to determine the precise $\rts$ value below which unitarity will remain valid.
Grzadkowski Bohdan
Gunion John
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