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Spectroscopy of Sp(4) lattice gauge theory with n_f=3 antisymmetric fermions

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arxiv 2210.08154 v1 pith:RML3RRWA submitted 2022-10-15 hep-lat hep-ph

Spectroscopy of Sp(4) lattice gauge theory with n_f=3 antisymmetric fermions

classification hep-lat hep-ph
keywords theorymesonsvectorantisymmetriccompositecontinuumfermionsflavoured
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform numerical calculations of masses and decay constants of the lightest (flavoured) pseudoscalar, vector and axial vector mesons in the $Sp(4)$ lattice gauge theory with three Dirac fermions in the antisymmetric representation. The corresponding continuum theory plays an important role in certain ultra-violet complete realisations of composite Higgs, partial top compositeness, and composite dark matter models. In addition, we measure the masses of other flavoured mesons in spin-$0$ and $1$ channels, as well as the first excited state of the vector mesons. Using the gradient flow to set the scale, we carry out the continuum extrapolation and show preliminary results for the meson spectrum of the theory.

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