RT Journal Article T1 Nonperturbative four-gluon vertex in soft kinematics A1 Aguilar, A. C. A1 Soto Borrero, Feliciano Carlos de A1 Ferreira, M. N. A1 Papavassiliou, J. A1 Pinto Gómez, F. A1 Rodríguez Quintero, José A1 Santos, L.R. AB We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertexon its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. Thetreatment is based on the Schwinger-Dyson equation governing this vertex, and a large-volume lattice simulation,involving ten thousand gauge field configurations. The key hypothesis employed in both approaches is the “planardegeneracy”, which classifies diverse configurations by means of a single variable, thus enabling their meaningful“averaging”. The results of both approaches show notable agreement, revealing a considerable suppression of theaveraged form factor in the infrared. The deviations from the exact planar degeneracy are discussed in detail, anda supplementary variable is used to achieve a more accurate description. The effective charge defined throughthis special form factor is computed within both approaches, and the results obtained are in excellent agreement PB Elsevier SN 0370-2693 SN 1873-2445 (electrónico) YR 2024 FD 2024-11 LK https://hdl.handle.net/10272/24514 UL https://hdl.handle.net/10272/24514 LA eng NO Aguilar, A. C., De Soto, F., Ferreira, M. N., Papavassiliou, J., Pinto-Gómez, F., Rodríguez-Quintero, J., & Santos, L. R. (2024). Nonperturbative four-gluon vertex in soft kinematics. In Physics Letters B (Vol. 858, p. 139065). Elsevier BV. https://doi.org/10.1016/j.physletb.2024.139065 NO The work of A. C. A. and L. R. S. is supported by the CNPq grants310763/2023-1 and 162264/2022-4, and is part of the project INCTFNA464898/2014-5. This study was financed in part by the Coordenaçãode Aperfeiçoamento de Pessoal de Nível Superior - Brasil(CAPES) - Finance Code 001 (L. R. S.). M. N. F. acknowledges financialsupport from the National Natural Science Foundation of China(grants 12135007 and W2433021). The research of J. P. is supportedby the Spanish MICINN grant PID2020-113334GB-I00, the GeneralitatValenciana grant CIPROM/2022/66, and in part by the EMMI visitinggrant of the ExtreMe Matter Institute EMMI at the GSI, Darmstadt, Germany.F. D. S., J. R. Q. and F. P. G. acknowledge financial support fromthe Spanish MICINN research grant PID2022-140440NB-C22. F. P. G.also acknowledges support from Banco Santander Universidades. Theauthors acknowledge the C3UPO of the Pablo de Olavide University forthe support with HPC facilities DS Repositorio Institucional de la Universidad de Huelva RD 1 jun 2026