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Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
Physical Review D, Volume: 106, Issue: 1
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We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its...
|Published in:||Physical Review D|
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We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson- Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the three- dimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations—the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space.
Faculty of Science and Engineering
We would like to thank Hwancheol Jeong for useful
discussions on the computation of the Dirac spectrum.
The work of E. B. has been funded in part by the
Supercomputing Wales project, which is partly funded by
the European Regional Development Fund (ERDF) via
Welsh Government, and by the UKRI Science and
Technology Facilities Council (STFC) Research Software
Engineering Fellowship EP/V052489/1. The work of
D. K. H. was supported by the National Research
Foundation of Korea (NRF) grant funded by the Korea
government (MSIT) (2021R1A4A5031460) and also by
Basic Science Research Program through the National
Research Foundation of Korea (NRF) funded by the
Ministry of Education (NRF-2017R1D1A1B06033701).
The work of J. W. L. is supported by the National
Research Foundation of Korea (NRF) grant funded by the
Korea government(MSIT) (NRF-2018R1C1B3001379).
The work of C. J. D. L. is supported by the Taiwanese
MoST Grant No. 109-2112-M-009-006-MY3. The work
of B. L. and M. P. has been supported in part by the STFC
Consolidated Grants No. ST/P00055X/1 and No. ST/
T000813/1. B. L. and M. P. received funding from the
European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation program
under Grant Agreement No. 813942. The work of B. L. is
further supported in part by the Royal Society Wolfson
Research Merit Award WM170010 and by the Leverhulme
Trust Research Fellowship No. RF-2020-4619. D. V.
acknowledges support from the INFN HPC-HTC project.
Numerical simulations have been performed on the Swansea
University SUNBIRD cluster (part of the Supercomputing
Wales project) and AccelerateAI A100 GPU system, on the
local HPC clusters in Pusan National University (PNU) and
in National Yang Ming Chiao Tung University (NYCU), and
the DiRAC Data Intensive service at Leicester. The Swansea
University SUNBIRD system and AccelerateAI are partly
funded by the European Regional Development Fund
(ERDF) via Welsh Government. The DiRAC Data
Intensive service at Leicester is operated by the
University of Leicester IT Services, which forms part of
the STFC DiRAC HPC Facility (www.dirac.ac.uk). The
DiRAC Data Intensive service equipment at Leicester was
funded by BEIS capital funding via STFC capital Grants
No. ST/K000373/1 and No. ST/R002363/1 and STFC
DiRAC Operations Grant No. ST/R001014/1. DiRAC is
part of the National e-Infrastructure.