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The Cosmological Constant Problem is re-examined from an effective fieldtheory perspective. While the connection between gravity and particle physicshas not been experimentally probed in the quantum regime, it is severelyconstrained by the successes of Standard Model quantum field theory at shortdistances, and classical General Relativity at large distances. At first sight,it appears that combining particle physics and gravity inevitably leads to aneffective field theory below the weak scale which suffers from large radiativecorrections to the cosmological constant. Consequently, this parameter must bevery finely tuned to lie within the experimental bounds. An analog of just thistype of predicament, and its resolution, are described in some detail usingonly familiar quantum field theory. The loop-hole abstracted from the analogyis the possibility of graviton ``compositeness'' at a scale less than $10^{-2}$eV, which cuts off the large contributions to the cosmological constant fromstandard model physics. Experimentally, this would show up as a dramaticbreakdown of Newton's Law in upcoming sub-centimeter tests of gravity.Currently, strings are the only known example of such compositeness. It isproposed that the gravitational sector comprises strings of very low tension,which couple to a stringy ``halo'' surrounding each point-like standard modelparticle.Comment: 25 pages, Latex. References added. Section 4 re-writte

Towards an effective particle-string resolution of the cosmological constant problem