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Progress on pseudoscalar flavour-singlets in Sp(4) with mixed fermion representations
Maurizio Piai ,
Fabian Zierler,
Ed Bennett ,
Niccolo Forzano,
Deog Ki Hong ,
Ho Hsiao ,
Jong-Wan Lee ,
C.-J. David Lin ,
Biagio Lucini ,
Davide Vadacchino
Lattice2024
Swansea University Authors: Maurizio Piai , Fabian Zierler, Ed Bennett , Niccolo Forzano, Biagio Lucini
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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 m...
Published in: | Lattice2024 |
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Published: |
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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. |
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Faculty of Science and Engineering |