Extra dimensions, SN1987a, and nucleon-nucleon scattering data

One of the strongest constraints on the existence of large, compact, "gravi ty-only" dimensions comes from SN1987a. If the rate of energy loss into the se putative extra dimensions is too high, then the neutrino pulse from the supernova will differ from that actually seen. The dominant mechanism for t he production of Kaluza-Klein gravitons and dilatons in the supernova is vi a gravistrahlung and dilastrahlung from the nucleon-nucleon system. In this payer we compute the rates For these processes in a model-independent way using low-energy theorems which relate the emissivities to the measured nuc leon-nucleon cross section. This is possible because for soft gravitons and dilatons the leading contribution to the energy-loss rate is from graphs i n which the gravitational radiation is produced from external nucleon legs. Previous calculations neglected these mechanisms. We re-evaluate the bound s on toroidally-compactified "gravity-only" dimensions, and find that consi stency with the observed SN1987a neutrino signal requires that if there are two such dimensions then their radius must be less than 1 micron. (C) 2001 Elsevier Science B.V. All rights reserved.