Spontaneous Breaking of Global BB^-l Symmetry and Matter - Antimatter Oscillations in Grand Unified Theories

Jul, 1982
25 pages
Published in:
  • Phys.Rev.D 27 (1983) 254
Report number:
  • BNL-31720,
  • IC/82/89

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Abstract: (APS)
We explore the consequences of the hypothesis that B−L symmetry, which is exact in the standard model based on the SU(2)L×U(1)×SU(3)c gauge group and its extension to the minimal SU(5) theory, is a spontaneously broken global symmetry. This results in possibly observable rates for Δ(B−L)=0, ΔB=2 hydrogen-antihydrogen transitions and double proton decay pp→e+e+(μ+μ+) and Δ(B−L)≠0, ΔB=2 neutron-antineutron mixing and p+n→π's; furthermore, a relation between the transition times τH−H¯, τn−n¯, Majorana neutrino mass, and the mass of a doubly charged Higgs particle Δ++ emerges. At the level of SU(2)L×U(1)×SU(3)c, for τn−n¯≃107 sec and mΔ++≃20 GeV, we predict τH−H¯≃103 yr and τpp≃1031 yr, both of which are experimentally testable numbers. The embedding of our model in SU(5) is discussed in detail, with the analysis of τp and sin2θW besides matter oscillations.
  • B-L NUMBER: VIOLATION
  • SPONTANEOUS SYMMETRY BREAKING
  • MATTER: OSCILLATION
  • GRAND UNIFIED THEORY: SU(5)
  • GAUGE FIELD THEORY: SU(3) X SU(2) X U(1)
  • HYDROGEN: TRANSITION
  • P: SEMILEPTONIC DECAY
  • SEMILEPTONIC DECAY: P
  • SEMILEPTONIC DECAY: MULTIPLE
  • MULTIPLE: SEMILEPTONIC DECAY