Composite dynamics in Sp($2N$) gauge theories

Abstract

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark matter. Without fermions, their study also complements those based on SU($N_c$) gauge theories with which they share a common sector in the large $N_c=2N$ limit. We report on our recent progress in the numerical studies of Sp($2N$) gauge theories discretised on a four-dimensional Euclidean lattice. In particular, we present preliminary results for the low-lying mass spectra of mesons and chimera baryons in the theories with $N=2$. We also compute the topological susceptibility for various values of $N$, extrapolate the results to the large $N$ limit, and discuss certain universal properties in Yang-Mills theories.

arXiv comment8 pages, 6 figures, Contribution to the proceedings of the 15th Quark Confinement and the Hadron Spectrum conference (ConfXV), 1st-6th August 2022, Stavanger, Norway

References in corpus (16)

• Properties and uses of the Wilson flow in lattice QCD
• Beyond the Minimal Composite Higgs Model
• UV descriptions of composite Higgs models without elementary scalars
• Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
• Modelling vector-like quarks in partial compositeness framework
• Large mass hierarchies from strongly-coupled dynamics
• Color dependence of the topological susceptibility in Yang-Mills theories
• Casimir scaling and Yang-Mills glueballs
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Inverse design of environment-induced coherence
• Electronic structure and spin-lattice relaxation in superconducting vortex states on the kagome lattice near van Hove filling
• Photon correlation measurements of stochastic limit cycles emerging from high-$Q$ nonlinear silicon photonic crystal microcavities

Cited by in corpus (1)

• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD