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Non-perturbative dynamics and compositeness in symplectic groups and beyond / NICCOLÒ FORZANO

Swansea University Author: NICCOLÒ FORZANO

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DOI (Published version): 10.23889/SUThesis.71506

Abstract

This thesis presents an in-depth, non-perturbative investigation of symplectic gauge theories, focusing on the Sp(4) gauge group coupled to fermions in both the fundamental and two-index antisymmetric representations. These models are particularly relevant to Beyond the Standard Model (BSM)physics,...

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Published: Swansea University 2025
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Piai, M., and Bennett, E.
URI: https://cronfa.swan.ac.uk/Record/cronfa71506
Abstract: This thesis presents an in-depth, non-perturbative investigation of symplectic gauge theories, focusing on the Sp(4) gauge group coupled to fermions in both the fundamental and two-index antisymmetric representations. These models are particularly relevant to Beyond the Standard Model (BSM)physics, including scenarios such as composite Higgs models (CHM), top partial compositeness (TPC)and dark matter. To support this study, the thesis advances lattice gauge theory methods by developing a flexible and efficient numerical framework built upon the GRID library that enables simulations of Sp(2N ) gauge groups with multiple fermion representations. This framework is optimised for scaling on modern high-performance computing architectures. A central focus is the computation of hadronic observables using spectral density methods, specifically the Hansen-Lupo-Tantalo (HLT) approach, which is validated against the conventional variational Generalised Eigenvalue Problem (GEVP) technique. Comprehensive numerical results are presented, including meson spectra, chimera baryon ones, and renormalised matrix elements. Careful attention is given to smearing techniques and ensemble selection. Beyond the novel non-perturbative results obtained, this work provides a robust computational framework to support future explorations of strongly coupled dynamics relevant to BSM physics.
Keywords: lattice gauge theories, GRID, spectral densities, composite Higgs models, top partial compositeness
College: Faculty of Science and Engineering
Funders: STFC