$E_6$ grand-unification for a Dark Energy model

ORAL

Abstract

The unification of a recently proposed model for Dark Energy and Dark matter [1], based on an unbroken gauge group $SU(2)_Z$, with the Standard model (SM) is presented. The unifying group is $E_6$ and the symmetry breaking pattern takes the unusual route $E_6\to SU(2)_Z \otimes SU(6)\to SU(2)_Z \otimes SU(3)_c \otimes SU(3)_L \otimes U(1)_6\to SU(2)_Z \otimes SU(3)_c \otimes SU(2)_L \otimes U(1)_{3}\otimes U(1)_6\to SU(2)_Z \otimes SM$. We find that the SM couplings converge into $SU(6)$ at a mass scale $\ord(2 \times 10^{15}\gev)$, corresponding to a proton mean lifetime $\tau_p\sim 9 \times 10^{32}\textrm{yr}$, consistent with the actual lower bound, while the $E_6$ grand-unification occurs below the Planck scale. This scenario implies the existence of heavy mirror fermions with masses $\ord(250 \gev)$. \newline \newline [1] P. Q. Hung, hep-ph/0504060; \textit{ibid.}, Nucl. Phys. B {\textbf{747}}, 55 (2006).

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Authors

  • Paola Mosconi

  • J. Deng

    US Naval Observatory, University of Virginia, Thomas Jefferson National Accelerator Facility, College of William and Mary, US Army Research Office, Brimrose Corporation of America, Hampton University, Department of Physics, University of Rajshahi, Rajshahi, Bangladesh, Department of Physics, Old Dominion University, Norfolk, VA 23529, University of North Carolina at Chapel Hill, Department of Physics, Old Dominion University, Norfolk, Virginia, Department of Physics, Korea University, Seoul, Korea, Department of Physics, University of Virginia, Charlottesville, VA, Department of Physics, Old Dominion University, Norfolk, VA, North Carolina State University and WebAssign, Raleigh, NC, North Carolina State University, Raleigh, NC, Broughton High School, Raleigh, NC, University of Wisconsin at Whitewater, Whitewater, WI, University of North Carolina-Chapel Hill Department of Physics, University of West Virginia - Chemistry Dept., ORNL, Old Dominion University, University of West Virginia Department of Chemistry, Clemson University, South Carolina Governor’s School for Science and Mathematics, College of Charleston, Rice University, Korea Research Institute of Standards and Science, Ohio State University, Wright State University, Yale U, JINR, Dubna, Univ. Fed. do Rio de Janeiro, Vanderbilt Univ./JIHIR(ORNL)/Tsinghua Univ., NSCL(MSU), LLNL, LBNL, Vanderbilt Univ./LBNL/JIHIR(ORNL), Vanderbilt Univ., Jagellonian University, University of Bonn, North Carolina A{\&T} State University, North Carolina Central University, Duke University and TUNL