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Searching for the layered structure of space at the LHC

Luis A. Anchordoqui1, De Chang Dai2, Haim Goldberg3, Greg Landsberg4, Gabe Shaughnessy5,6, Dejan Stojkovic2, and Thomas J. Weiler7

  • 1Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA
  • 2HEPCOS, Department of Physics, SUNY at Buffalo, Buffalo, New York 14260-1500, USA
  • 3Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
  • 4Department of Physics, Brown University, Providence, Rhode Island 02912, USA
  • 5High-Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 6Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
  • 7Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA

Phys. Rev. D 83, 114046 – Published 23 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114046

Abstract

Alignment of the main energy fluxes along a straight line in a target plane has been observed in families of cosmic ray particles detected in the Pamir mountains. The fraction of events with alignment is statistically significant for families with superhigh energies and large numbers of hadrons. This can be interpreted as evidence for coplanar hard scattering of secondary hadrons produced in the early stages of the atmospheric cascade development. This phenomenon can be described within the recently proposed “crystal world,” with latticized and anisotropic spatial dimensions. Planar events are expected to dominate particle collisions at a hard-scattering energy exceeding the scale Λ3 at which space transitions from 3D2D. We study specific collider signatures that will test this hypothesis. We show that the energy spectrum of Drell-Yan (DY) scattering is significantly modified in this framework. At the LHC, two jet and three jet events are necessarily planar, but four jet events can test the hypothesis. Accordingly, we study in a model-independent way the 5σ discovery reach of the ATLAS and CMS experiments for identifying four jets coplanarities. For the extreme scenario in which all pp4 jet scattering processes become coplanar above Λ3, we show that with an integrated luminosity of 10(100)fb1 the LHC experiments have the potential to discover correlations between jets if Λ31.25(1.6)TeV.

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