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Progress on pseudoscalar flavour-singlets in Sp(4) with mixed fermion representations

Maurizio Piai Orcid Logo, Fabian Zierler, Ed Bennett Orcid Logo, Niccolo Forzano, Deog Ki Hong Orcid Logo, Ho Hsiao Orcid Logo, Jong-Wan Lee Orcid Logo, C.-J. David Lin Orcid Logo, Biagio Lucini Orcid Logo, Davide Vadacchino Orcid Logo

Lattice2024

Swansea University Authors: Maurizio Piai Orcid Logo, Fabian Zierler, Ed Bennett Orcid Logo, Niccolo Forzano, Biagio Lucini Orcid Logo

Abstract

We measure the masses of the pseudoscalar flavour-singlet meson states in the (4) gauge theory coupled to two Dirac fermions transforming in the fundamental representation and three Dirac fermions in the antisymmetric representation. This theory provides a compelling ultraviolet completion for the m...

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Published in: Lattice2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68044
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Abstract: We measure the masses of the pseudoscalar flavour-singlet meson states in the (4) gauge theory coupled to two Dirac fermions transforming in the fundamental representation and three Dirac fermions in the antisymmetric representation. This theory provides a compelling ultraviolet completion for the minimal composite Higgs model implementing also partial compositeness for the top quark. The spectrum contains two, comparatively light, pseudoscalar flavour-singlet states, which mix with one another. One of them is a Nambu-Goldstone boson (in the massless limit), whereas the other receives a mass from the (1) axial anomaly. We demonstrate how to measure the mixing between these two states. For moderately heavy fermion masses, we find that the two wave functions are dominated by one of the fermion representations, mixing effects being small.
College: Faculty of Science and Engineering