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A recent provisional solution of the quantum-corrected field equations of d =11 supergravity on flat R^4 times a compact hyperbolic 7-manifold \bar{H}^7, inthe presence of magnetic 4-form fluxes wrapping 4-cycles of \bar{H}^7, isimproved by showing that the curvature radius B of \bar{H}^7 and the r.m.s.4-form flux strength h each have a single stationary point as the fieldredefinition parameter c is varied. Application of the principle of minimalsensitivity then fixes c in a moderate range such that B and h^{1/3} vary byonly 4% and 5% respectively over this range. The new best value of B is 0.28\kappa_{11}^{2/9} = 1.2 M_{11}^{-1}. The low-lying bosonic Kaluza-Klein modesof the bulk are studied. The classically massless harmonic 3-form modes of the3-form gauge field, whose number is estimated as roughly 10^{32} if theintrinsic volume of \bar{H}^7 is ~ 10^{35}, acquire a mass 0.2 A/B from quantumcorrections, where the warp factor A is fixed by the boundary conditions at theHorava-Witten (HW) boundary to lie between about 0.7 and 0.9. They haveaxion-like couplings to the SM gauge bosons. Their lifetimes range from about10^{-27} seconds to several hours depending on the distance of their centrefrom the HW boundary, and they can decay along the beam line outside theinteraction region at the LHC, with a distribution that shows a power lawrather than exponential decrease with distance from the IP. Approximateexclusion limits are obtained from recent LHC data, and discovery prospects atATLAS and CMS are studied.

Improvement of a provisional solution of the quantum-corrected field  equations of d = 11 supergravity on flat R^4 times a compact hyperbolic  7-manifold, and modes that decay along the beam line outside the interaction  region at the LHC