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Toward the minimal realization of a light composite Higgs
Work in progress is reported on a particularly interesting gauge theory with
a fermion doublet in the two-index symmetric (sextet) representation of the
SU(3) color gauge group. Extending previous studies we outline our strategy as
we investigate Goldstone dynamics and Electroweak scale setting from chiral
symmetry breaking ( SB), test the GMOR relation from the spectrum of the
Dirac operator and the related chiral condensate, begin to develop and test
mixed action based improved analysis of SB with new run plans at fixed
topology to cross over from the p-regime to the epsilon-regime of SB,
continue to pursue the light scalar and its relation to the dilaton,
and probe the scale-dependent running coupling from the perturbative UV scale
to the scale of chiral symmetry breaking. Our observations suggest that the
model is very close to the conformal window and a light composite scalar,
perhaps the Higgs impostor with or without dilaton-like interpretation, appears
to emerge with quantum numbers. The lightest baryon of the model on
the 3 TeV scale has intriguing implications.Comment: 14 pages, 7 figures, The 32nd International Symposium on Lattice
Field Theory,23-28 June, 2014 Columbia University, New York, NY, US
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