Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

This article reports on the detailed study of the three-gluon vertex in four-dimensional SU(3) Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed, and it is shown that the associated form factor changes sign at a given range of momenta. The lattice results are compared to the model-independent predictions of Schwinger-Dyson equations, and a very good agreement between the two is found.We are thankful for the support of the Spanish Ministerio de Economia y Competitividad (MINECO) FPA2014-53631-C2-2-P research project. S.Z. acknowledges support by the National Science Foundation (USA) under Grant No. PHY-1516509 and by the Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177. We thank A. Athenodorou, D. Binosi, and J. Papavassiliou for very fruitful discussions and for their participation in a previous work triggering this one. S.Z. is indebted to A. Sciarra for all his help regarding the CL2QCD code. CL2QCD is a Lattice QCD application based on OPENCL, applicable to CPUs and Graphic Processing Units. Numerical computations have used resources of CINES and GENCI-IDRIS as well as resources at the Institut National de physique nucleaire et de physique des particules (IN2P3) computing facility in Lyon