Sp(4) gauge theories and beyond the standard model physics
1 Department of Mathematics, Swansea University, Fabian Way, SA1 8EN Swansea, Wales, UK
2 Swansea Academy of Advanced Computing, Swansea University, Fabian Way, SA1 8EN Swansea, Wales, UK
3 Department of Physics, Swansea University, Singleton Park, SA2 8PP Swansea, Wales, UK
4 Department of Physics, University of Maryland, College Park, Maryland, USA, 20742
5 Department of Physics, Pusan National University, Busan 46241, Korea
6 Institute of Physics, National Yang Ming Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan
7 Extreme Physics Institute, Pusan National University, Busan 46241, Korea
8 Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan
9 Centre for Theoretical and Computational Physics, National Yang Ming Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan
10 School of Mathematics and Hamilton Mathematics Institute, Trinity College, D02 PN40 Dublin 2, Ireland
* Speaker; e-mail: email@example.com
Published online: 11 January 2022
We review numerical results for models with gauge group Sp(2N), discussing the glueball spectrum in the large-N limit, the quenched meson spectrum of Sp(4) with Dirac fermions in the fundamental and in the antisymmetric representation and the Sp(4) gauge model with two dynamical Dirac flavours. We also present preliminary results for the meson spectrum in the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac flavours. The main motivation of our programme is to test whether this latter model is viable as a realisation of Higgs compositeness via the pseudo Nambu Goldstone mechanism and at the same time can provide partial top compositeness. In this respect, we report and briefly discuss preliminary results for the mass of the composite baryon made with two fundamental and one antisymmetric fermion (chimera baryon), whose physical properties are highly constrained if partial top compositeness is at work. Our investigation shows that a fully non-perturbative study of Higgs compositeness and partial top compositeness in Sp(4) is within reach with our current lattice methodology.
© The Authors, published by EDP Sciences, 2022
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