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Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory

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arxiv 1606.02695 v2 pith:L6LWRNJB submitted 2016-06-08 hep-lat

Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory

T. A. DeGrand , M. Golterman , W. I. Jay , E. T. Neil , Y. Shamir , B. Svetitsky This is my paper
classification hep-lat
keywords gaugehiggstheorycalculationcompositecontributioncorrelationeffective
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We develop methods to calculate the electroweak gauge boson contribution to the effective Higgs potential in the context of composite Higgs models, using lattice gauge theory. The calculation is analogous to that of the electromagnetic mass splitting of the pion multiplet in QCD. We discuss technical details of carrying out this calculation, including modeling of the momentum and fermion-mass dependence of the underlying current-current correlation function; direct integration of the correlation function over momentum; and fits based on the minimal-hadron approximation. We show results of a numerical study using valence overlap fermions, carried out in an SU(4) gauge theory with two flavors of Dirac fermions in the two-index antisymmetric representation.

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  1. SU(2) gauge theory with one and two adjoint fermions towards the continuum limit

    hep-lat 2024-07 unverdicted novelty 5.0

    Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.