RS model with the small curvature and Bhabha scattering at the ILC

The Randall-Sundrum (RS) model with the small curvature is studied. In such a scheme the mass spectrum of Kaluza-Klein (KK) gravitons is similar to that in a model with one extra flat dimension. The gravity effects in the Bhabha scattering at the energy 1 TeV are estimated. The calculations are based on the analytical formula which describes virtual graviton contributions. It takes into account both a discrete character of the mass spectrum and nonzero widths of the KK gravitons. 1 RS model with the small curvature The Randall-Sundrum (RS) model [1] is realized in a slice of the AdS5 space-time with the background warped metric: ds = e ημν dx μ dx + dy , (1) where y = rθ (−π 6 θ 6 π), r being the “radius” of extra dimension, and ημν is the Minkowski metric. The points (xμ, y) and (xμ,−y) are identified. The parameter κ defines a 5-dimensional scalar curvature of the AdS5 space. Namely, the Ricci curvature invariant R(5) = −20 κ. That is why, in what follows we will call κ “curvature”. There are two 3D branes in the model with equal and opposite tensions located at the point y = πr (called the TeV brane) and point y = 0 ∗E-mail: [email protected]