We report on a search for new particles in the diphoton channel using a data sample of 5.4 fb −1 of p¯p collisions at a center-of-mass energy of 1.96 TeV collected using the CDF II detector at the Fermilab Tevatron. The invariant mass spectrum of the data agrees well with the standard model expectation. We set upper limits on the cross section times branching ratio for the Randall-Sundrum graviton, as a function of diphoton mass. We subsequently derive lower limits on the graviton mass of 472 GeV/c 2 and 976 GeV/c 2, at the 95 % confidence level, for coupling parameters (k/M P l) of 0.01 and 0.1 respectively. 2 The large disparity between the electroweak scale and the gravity scale (the Planck scale) is known as the hierarchy problem. In the Randall-Sundrum (RS) model , the hierarchy is generated by introducing one extra spatial dimension. The 5-dimensional spacetime is bounded by two 4-dimensional subspaces (or “branes”, short for membranes). The standard model (SM) particles are confined to the “TeV ” brane, located at φ = π, while the Plank brane is located at φ = 0, where φ is the angular coordinat
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