Abstract
As part of an ongoing programme to study Sp(2N) gauge theories as potential realisations of composite Higgs models, we consider the case of Sp(4) on the lattice, both as a pure gauge theory, and with two Dirac fermion flavors in the fundamental representation. In order to compare results between these two cases and maintain control of lattice artefacts, we make use of the gradient flow to set the scale of the simulations. We present some technical aspects of the simulations, including preliminary results for the scale setting in the two cases and results for the topological charge history.
Highlights
Due to its significant potential phenomenological interest, we have embarked on an extended programme to study Sp(2N) gauge theories, as described in more detail in [1]
We have implemented the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions in the Sp(4) gauge theory, which will be described in the first half of this contribution, along with a discussion of the resymplecticisation procedure used for the heat bath algorithm
We set the scale of the theories using the gradient flow scales t0 and w0, and verify the ergodicity of the topological charge and observe the topological susceptibility, the discussion of which forms the second half of this contribution
Summary
Due to its significant potential phenomenological interest, we have embarked on an extended programme to study Sp(2N) gauge theories, as described in more detail in [1]. In this contribution we report on some of the technical details of the study to date. We set the scale of the theories using the gradient flow scales t0 and w0, and verify the ergodicity of the topological charge and observe the topological susceptibility, the discussion of which forms the second half of this contribution
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