We formulate the dynamical symmetry breaking of the Standard Model by a top quark condensate in analogy with BCS theory. The low energy effective Lagrangian is the usual Standard Model to leading order in a fermion planar-loop approximation, with supplemental relationships connecting masses of top quark, lV boson, and the Higgs boson which now appears as a tt boundstate. Precise predictions for ml, and mu+,, are obtained by abstracting the compositeness condition for the Higgs boson to boundary conditions on the renormalization group equations for the full Standard Model at high energy.
The recent discovery of a narrow resonance in D s 0 by the BaBar Collaboration is consistent with the interpretation of a heavy J P (0 ϩ ,1 ϩ ) spin multiplet. This system is the parity partner of the ground state (0 Ϫ ,1 Ϫ ) multiplet, which we argue is required in the implementation of SU(3) L ϫSU(3) R chiral symmetry in heavy-light meson systems. The (0 ϩ ,1 ϩ )→(0 Ϫ ,1 Ϫ )ϩ transition couplings satisfy a Goldberger-Treiman relation, g ϭ⌬M / f , where ⌬M is the mass gap. The BaBar resonance fits the 0 ϩ state, with a kinematically blocked principal decay mode to DϩK. The allowed D s ϩ, D s ϩ2, and electromagnetic transitions are computed from the full chiral theory and found to be suppressed, consistent with the narrowness of the state. This state establishes the chiral mass difference for all such heavy-quark chiral multiplets, and precise predictions exist for the analogous B s and strange doubly heavy baryon states.
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