Abstract:A search for large extra spatial dimensions via virtual-graviton exchange in the diphoton channel has been carried out with the CMS detector at the LHC. No excess of events above the standard model expectations is found using a data sample collected in proton-proton collisions at √ s = 7 TeV and corresponding to an integrated luminosity of 36 pb −1 . New lower limits on the effective Planck scale in the range of 1.6-2.3 TeV at the 95% confidence level are set, providing the most restrictive bounds to date on models with more than two large extra dimensions.
Keywords: Hadron-Hadron ScatteringOpen
IntroductionCompact large extra dimensions (ED) are an intriguing proposed solution to the hierarchy problem of the standard model (SM), which refers to the puzzling fact that the fundamental scale of gravity M Pl ∼ 10 19 GeV is so much higher than the electroweak symmetry breaking scale ∼ 10 3 GeV. With such a difference in scales, it is difficult to protect the Higgs boson mass from radiative corrections without a very high degree of fine-tuning. The original proposal to use ED to solve the hierarchy problem was presented by ArkaniHamed, Dimopoulos, and Dvali (ADD) [1,2]. They posited a scenario wherein the SM is constrained to the common 3+1 space-time dimensions, while gravity is free to propagate through the entire multidimensional space. Thus, the gravitational flux in 3+1 dimensions is effectively diluted by virtue of the multidimensional Gauss's Law. The fundamental Planck scale M D is therefore related to the apparent scale M Pl according to the formula M n ED +2 D = M 2 Pl /r n ED , where r and n ED are the size and number of the extra dimensions, respectively. A review of current limits on the ADD model can be found in ref. [3].Phenomenologically, this large ED scenario results in s-channel production of massive, virtual Kaluza-Klein (KK) graviton states, which can decay into two photons [4]. Decays to fermions are suppressed relative to photons because the graviton is spin-2 and the fermions cannot be produced in the s wave. Because the KK gravitons propagate through the compact extra dimensions, their wavefunction must satisfy periodic boundary conditions, which result in discrete energy levels with modal spacing of the order of the inverse ED size, from 1 meV to 100 MeV. This results in an apparent continuum spectrum of diphotons, rather than distinct resonances.Summing over KK modes results in a divergence in the cross section, so an ultraviolet (UV) cutoff scale M S is needed. This scale is related to -but potentially different fromthe fundamental Planck scale M D , as the precise relationship depends on the UV completion of the effective theory. The effects of virtual-graviton production on the cross section are -1 -
JHEP05(2011)085parameterized by the single variable η G = F/M 4 S , where F is an order-unity dimensionless parameter, for which several conventional assumptions exist: where √ŝ is the center-of-mass energy of the hard parton-parton collision. We note that the HLZ convention contai...