Tuesday, November 13, 2012

1211.2773 (Christopher T. Hill)

"Super"-Dilatation Symmetry of the Top-Higgs System    [PDF]

Christopher T. Hill
The top-Higgs system, consisting of top quark (LH doublet, RH singlet) and Higgs boson kinetic terms, with gauge fields set to zero, has an exact (modulo total divergences) symmetry where both fermion and Higgs fields are dilatonically shifted and mixed in a supersymmetric fashion. This formally resembles a nonlinearly realized supersymmetry, or a "super"-dilatational invariance. The full Higgs-Yukawa interaction and Higgs-potential, including additional \sim 1/\Lambda^2 NJL-like interactions, also has this symmetry to O(1/\Lambda^4). This implies the relationship, \lambda = \half g_t^2 between the top Yukawa coupling constant, g_t, and Higgs quartic coupling constant \lambda at a high energy scale \Lambda > few TeV, which we interpret to be a new physics scale.
View original: http://arxiv.org/abs/1211.2773

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