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Torsion phenomenology at the CERN LHC

A. S. Belyaev1,*, I. L. Shapiro2,†, and M. A. B. do Vale3,‡

  • 1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
  • 2Departamento de Física – ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, 36036-330, MG, Brazil Also at Tomsk State Pedagogical University, Russia
  • 3Departamento de Ciências Naturais, Universidade Federal de São João del Rei, São João del Rei, 36301-160, MG, Brazil

  • *Electronic address: belyaev@pa.msu.edu
  • Electronic address: shapiro@fisica.ufjf.br; Also at Tomsk State Pedagogical University, Russia
  • Electronic address: aline@ufsj.edu.br

Phys. Rev. D 75, 034014 – Published 23 February, 2007

DOI: https://doi.org/10.1103/PhysRevD.75.034014

Abstract

We explore the potential of the CERN Large Hadron Collider (LHC) to test the dynamical torsion parameters. The form of the torsion action can be established from the requirements of consistency of effective quantum field theory. The most phenomenologically relevant part of the torsion tensor is dual to a massive axial vector field. This axial vector has geometric nature, that means it does not belong to any representation of the gauge group of the SM extension or GUT theory. At the same time, torsion should interact with all fermions, that opens the way for the phenomenological applications. We demonstrate that LHC collider can establish unique constraints on the interactions between fermions and torsion field considerably exceeding present experimental lower bounds on the torsion couplings and its mass. It is also shown how possible nonuniversal nature of torsion couplings due to the renormalization group running between the Planck and TeV energy scales can be tested via the combined analysis of Drell-Yan and tt¯ production processes.

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