Abstract
Working in a two-representation lattice gauge theory that is close to a composite Higgs model, we calculate the low-energy constant CLR which controls the contribution of the electroweak gauge bosons to the Higgs potential. In QCD, the corresponding low-energy constant governs the mass splitting of the pion multiplet. Taking the continuum and chiral limits, we find that CLR, in units of the pseudoscalar decay constant, is roughly of the same size as its QCD counterpart.
Highlights
Composite Higgs theories of the “Goldstone Higgs” variety [1,2] use a weakly broken global symmetry to protect the Higgs from large mass renormalizations
Working in a two-representation lattice gauge theory that is close to a composite-Higgs model, we calculate the low-energy constant CLR which controls the contribution of the electroweak gauge bosons to the Higgs potential
Taking the continuum and chiral limits, we find that CLR, in units of the pseudoscalar decay constant, is roughly of the same size as its QCD counterpart
Summary
Composite Higgs theories of the “Goldstone Higgs” variety [1,2] use a weakly broken global symmetry to protect the Higgs from large mass renormalizations. The coupling of the Higgs multiplet to the SM fields, which in turn yields the Higgs potential, is given by a number of low-energy constants These are, in principle, calculable if an ultraviolet completion of the theory is given. (1) As noted, we have added fermions in the fundamental representation This brings the theory closer to Ferretti’s composite-Higgs model [7]. We are able to fit CLR as a function of lattice spacing and sea masses, and to take the continuum and chiral limits in the dynamical theory.
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