ORCID
- Davide Vadacchino: 0000-0002-5783-5602
Abstract
Spectral densities encode nonperturbative information that enters the calculation of a plethora of physical observables in strongly coupled field theories. Phenomenological applications encompass aspects of standard-model hadronic physics, observable at current colliders, as well as correlation functions characterizing new physics proposals, testable in future experiments. By making use of numerical data produced in a Sp(4) lattice gauge theory with matter transforming in an admixture of fundamental and 2-index antisymmetric representations of the gauge group, we perform a systematic study to demonstrate the effectiveness of recent technological progress in the reconstruction of spectral densities.To this purpose, we write and test new software packages that use energy-smeared spectral densities to analyze the mass spectrum of mesons. We assess the effectiveness of different smearing kernels and optimize the smearing parameters to the characteristics of available lattice ensembles. For concreteness, we analyze the Sp(4) lattice gauge theory with matter transforming in an admixture of fundamental and 2-index antisymmetric representations of the gauge group. We generate new ensembles for the theory in consideration, with lattices that have a longer extent in the time direction with respect to the spatial ones. We run our tests on these ensembles, obtaining new results about the spectrum of light mesons and their excitations. We make available our algorithm and software for the extraction of spectral densities, that can be applied to theories with other gauge groups, including the theory of strong interactions (QCD) governing hadronic physics in the standard model.
DOI Link
Publication Date
2024-10-11
Publication Title
Physical Review D
Volume
110
Issue
7
ISSN
2470-0010
Acceptance Date
2024-09-06
Deposit Date
2024-12-11
Funding
We would like to thank Giacomo Cacciapaglia, Thomas Flacke, Anna Hasenfratz, Chulwoo Jung, Gabriele Ferretti, and Sarada Rajeev, for useful discussions during the “PNU Workshop on Composite Higgs: Lattice study and all”, at Haeundae, Busan, in February 2024, where preliminary results of this study were presented. We also thank Nazario Tantalo for the discussions. The work of E. B. and B. L. is supported in part by the EPSRC ExCALIBUR programme ExaTEPP (Project No. EP/X017168/1). The work of E. B. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of E. B., B. L., and M. P. has been supported in part by the STFC Doctoral Partnership Grant No. ST/X000648/1. The work of N. F. has been supported by the STFC Consolidated Grant No. ST/X508834/1. A. L. is funded in part by l’Agence Nationale de la Recherche (ANR), under Grant No. ANR-22-CE31-0011. The work of D. K. H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of D. K. H. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). L. D. D. and R. C. H. are supported by the UK Science and Technology Facility Council (STFC) Grant No. ST/P000630/1. The work of L. D. D. was supported by the ExaTEPP Project No. EP/X01696X/1. The work of J. W. L. was supported by IBS under the project code, IBS-R018-D1. The work of H. H. and C. J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M-009-006-MY3 and NSTC Grant No. 112-2112-M-A49-021-MY3. The work of C. J. D. L. is also supported by National Science and Technology Council of Taiwan Grant No. 112-2639-M-002-006-ASP and No. 113-2119-M-007-013. The work of B. L. and M. P. has been supported in part by the STFC Consolidated Grant No. ST/T000813/1. B. L., M. P. and L. D. D. 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 D. V. is supported by STFC under Consolidated Grant No. ST/X000680/1. The work of F. Z. is supported by the STFC Grant No. ST/X000648/1. Numerical simulations have been performed on the DiRAC Extreme Scaling service at the University of Edinburgh, and on the DiRAC Data Intensive service at Leicester. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility. This equipment was funded by BEIS capital funding via STFC capital Grant No. ST/R00238X/1 and STFC DiRAC Operations Grant No. ST/R001006/1. DiRAC is part of the National e-Infrastructure. Spectral density measurements have been performed by using the LSDensities software package in Ref. [106].
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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Bennett, E., Del Debbio, L., Forzano, N., Hill, R., Hong, D., Hsiao, H., Lee, J., Lin, C., Lucini, B., Lupo, A., Piai, M., Vadacchino, D., & Zierler, F. (2024) 'Meson spectroscopy from spectral densities in lattice gauge theories', Physical Review D, 110(7). Available at: 10.1103/PhysRevD.110.074509
