Gravitational form factors of the pion and meson dominance Broniowski, Wojciech Ruiz Arriola, Enrique Pion gravitational form factors Meson dominance Lattice QCD We show that the recent MIT lattice QCD data for the pion’s gravitational form factors are, in the covered momentum transfer range, fully consistent with the meson dominance principle. In particular, the 2++ component can be accurately saturated with the f2(1270) meson, whereas the 0++ component with the σ meson. To incorporate the large width of the σ, we use the dispersion relation with the spectral density obtained from analyses of the physical pion scattering data. Effects of the pion mass are estimated within Chiral Perturbation Theory and are found to be small between the lattice and the physical point. We also discuss the implications of the perturbative QCD constraints at high momentum transfers, leading to specific sum rules for the spectral densities of the gravitational form factors, and argue that these densities cannot be of definite sign. 2024-12-03T11:48:40Z 2024-12-03T11:48:40Z 2024-11-21 journal article Broniowski, W. & Ruíz Arriola, E. Physics Letters B 859 (2024) 139138. [https://doi.org/10.1016/j.physletb.2024.139138] https://hdl.handle.net/10481/97651 10.1016/j.physletb.2024.139138 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier