Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

Details Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

2011-03-30

arxiv.org/abs/1103.5998v1

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 12 figures. Based on talks presented by J.Kuti and K.Holland at the XXVIII International Symposium on Lattice Field

Scientific paper

We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Both models are important in searching for a viable composite Higgs mechanism in the Beyond the Standard Model (BSM) paradigm. We subject both models to opposite hypotheses inside and outside of the conformal window. In the first hypothesis we test chiral symmetry breaking ($\chi{\rm SB}$) with its Goldstone spectrum, $F_\pi$, the $\chi{\rm SB}$ condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects. Supporting results for $\chi{\rm SB}$ from the running coupling based on the force between static sources is also presented. In the second test for the alternate hypothesis we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry. Our results show very low level of confidence in the conformal scenario.

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