Abstract
In pure-glue QCD, gluon–gluon scattering in the \(J^{PC}=0^{-+}\) channel is described by a very simple equation, especially if one considers just the leading contribution to the scattering kernel. Of all components in this kernel, only the three-gluon vertex, \(V_{\mu \nu \rho }\), is poorly constrained by contemporary analyses; hence, calculations of \(0^{-+}\) glueball properties serve as a clear window onto the character and form of \(V_{\mu \nu \rho }\). This is important given that many modern calculations of \(V_{\mu \nu \rho }\) predict the appearance of an infrared suppression in the scalar function which comes to modulate the bare vertex after the nonperturbative resummation of interactions. Such behaviour is a peculiar prediction; but we find that the suppression is essential if one is to achieve agreement with lattice-QCD predictions for the \(0^{-+}\) glueball mass. Hence, it is likely that this novel feature of \(V_{\mu \nu \rho }\) is real and has observable implications for the spectrum, decays and interactions of all QCD bound-states.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ Comment: All data generated during this study are contained in this published article.]
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Acknowledgements
We are grateful for insightful comments from D. Binosi, L. Chang, Z.-F. Cui, C. S. Fischer, F. Gao and J. Rodríguez-Quintero. Work supported by: Brazilian National Council for Scientific and Technological Development (CNPq), under Grant nos. 142226/2016-5, 305815/2015 and 464898/2014-5 (INCT-FNA); Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES)-Finance Code 001; Federal Institute of Education, Science, and Technology of Piauí (PROAGRUPAR-IFRA 119/2018); Generalitat Valenciana, under Grant Prometeo II/2014/066; Jiangsu Province Hundred Talents Plan for Professionals; Nanjing University of Posts and Telecommunications Science Foundation, under Grant no. NY129032; National Natural Science Foundation of China, under Grant nos. 11847024 and 11905107; São Paulo Research Foundation (FAPESP), under project nos. 2017/07595-0 and 2017/05685-2; and Spanish Ministry of Economy and Competitiveness (MINECO), under Grant nos. FPA2017-84543-P and SEV-2014-0398.
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Souza, E.V., Ferreira, M.N., Aguilar, A.C. et al. Pseudoscalar glueball mass: a window on three-gluon interactions. Eur. Phys. J. A 56, 25 (2020). https://doi.org/10.1140/epja/s10050-020-00041-y
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DOI: https://doi.org/10.1140/epja/s10050-020-00041-y