Brane to bulk supersymmetry breaking and radion force at micron distances

Abstract

We study mediation of supersymmetry breaking in the bulk, in models with primordial supersymmetry breaking on D-branes at the string scale, in the TeV region. We compute the gravitino and scalar masses up to one-loop level, as well as the radion coupling to matter. We find that the latter mediates a model independent force at submillimeter distances that can be tested in micro-gravity experiments for any dimensionality of the bulk. In the case of two large dimensions, our type I string framework provides an example which allows to stabilize the radion potential and determine the desired hierarchy between the string and Planck scales. * On leave of absence from CPHT, Ecole Polytechnique, UMR du CNRS 7644. † Permanent address: LPTHE, Universités de Paris VI et VII, UMR du CNRS 7589.

Physics of extra dimensions

“…There are three categories of such predictions: (i) Deviations from the Newton's law 1/r 2 behavior to 1/r 2+n , which can be observable for n = 2 large transverse dimensions of sub-millimeter size. This case is particularly attractive on theoretical grounds because of the logarithmic sensitivity of SM couplings on the size of transverse space [20], that allows to determine the hierarchy [21].…”

“…In the latter, supersymmetry is broken primarily on the brane, and thus its transmission to the bulk is gravitationally suppressed, leading to (8). For n = 2, there may be an enhancement factor of the radion mass by ln R ⊥ M s ≃ 30 decreasing its wavelength by an order of magnitude [21].…”

“…In the longitudinal case, the coupling arises dominantly through the radius dependence of the QCD gauge coupling [22], while in the case of transverse dimension, it can be deduced from the rescaling of the metric which changes the string to the Einstein frame and depends slightly on the bulk dimensionality (α = 1 − 1.5 for n = 2 − 6) [21].…”

Supersymmetric large extra dimensions and the cosmological constant: an update

“…Although this is most properly done through explicit calculations using geometries such as the rugby ball, along the lines of ref. [17], there is much to be learned from explicit power-counting arguments.…”

“…Clearly it is the terms in S eff which are proportional to positive powers of M which are dangerous, and whose absence in any explicit quantum calculation (like those of [17]) must be explained. It is 6D supersymmetry (and general covariance) which disposes of the terms of order M 6 and M 4 in S eff .…”