Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory
arxiv(2023)
摘要
We report the results of lattice numerical studies of the Sp(4) gauge theory
coupled to fermions (hyperquarks) transforming in the fundamental and two-index
antisymmetric representations of the gauge group. This strongly-coupled theory
is the minimal candidate for the ultraviolet completion of composite Higgs
models that facilitate the mechanism of partial compositeness for generating
the top-quark mass. We measure the spectrum of the low-lying, half-integer
spin, bound states composed of two fundamental and one antisymmetric
hyperquarks, dubbed chimera baryons, in the quenched approximation. In this
first systematic, non-perturbative study, we focus on the three lightest
parity-even chimera-baryon states, in analogy with QCD, denoted as
Λ_ CB, Σ_ CB (both with spin 1/2), and Σ_
CB^∗(with spin 3/2). The spin-1/2 such states are candidates of the top
partners. The extrapolation of our results to the continuum and
massless-hyperquark limit is performed using formulae inspired by QCD
heavy-baryon Wilson chiral perturbation theory. Within the range of hyperquark
masses in our simulations, we find that Σ_CB is not heavier
than Λ_CB.
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