Sp(4) gauge theories and beyond the standard model physics

Abstract

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.

arXiv commentCorrected notations in Eq. 1 and redrawn Fig 2, results unchanged; 8 pages, 4 figures, contribution to the proceedings of A Virtual Tribute to Quark Confinement and the Hadron Spectrum (vConf21), August 2nd-6th 2021

References in corpus (15)

• SU(N) gauge theories at large N
• Fermionic UV completions of Composite Higgs models
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• UV descriptions of composite Higgs models without elementary scalars
• Glueball masses in the large N limit
• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations
• Light scalars in composite Higgs models
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• Color dependence of tensor and scalar glueball masses in Yang-Mills theories
• Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories