Intermediate left-right gauge symmetry, unification of couplings, and fermion masses in supersymmetric SO(10)×S4

M. K. Parida
Phys. Rev. D 78, 053004 – Published 15 September 2008

Abstract

If left-right gauge theory, SU(2)L×SU(2)R×U(1)BL×SU(3)C(gL=gR)(G2213), occurs as an intermediate symmetry in a grand unified theory then, apart from other advantages, it is possible to obtain the seesaw scale necessary to understand small neutrino masses with Majorana coupling of order unity. Barring threshold or nonrenormalizable gravitational effects at the GUT scale, or the assumed presence of additional light scalar particles of unprescribed origin, all other attempts to achieve manifest one-loop gauge coupling unification in supersymmetry SO(10) with such intermediate symmetry have not been successful so far. Attributing this failure to lack of flavor symmetry in the grand unified theory, we show how the spontaneous symmetry breaking of SO(10)×S4 leads to such left-right intermediate breaking scale extending over the range MR5×109GeV to 1015GeV. All the charged fermion masses are fitted at the intermediate seesaw scale, MNMR4×1013GeV which is obtained with Majorana coupling f01. Using type-I seesaw and a constrained parametrization in which  CP-violation originates only from the quark sector, in addition to other predictions made in the neutrino sector, the reactor mixing angle is found to be θ133°5° which is in the range accessible to ongoing experiments. The leptonic Dirac phase turns out to be δ2.93.1 radians with the predicted values of Jarlskog invariant JCP2.95×105103.

  • Figure
  • Figure
  • Received 26 April 2008

DOI:https://doi.org/10.1103/PhysRevD.78.053004

©2008 American Physical Society

Authors & Affiliations

M. K. Parida*

  • National Institute for Science Education and Research, Institute of Physics Campus, Sachivalaya Marg, Bhubaneswar 751005, India

  • *mkparida@iopb.res.in

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Vol. 78, Iss. 5 — 1 September 2008

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