Double parton distributions of the pion Broniowski, Wojciech Ruiz Arriola, Enrique Supported by the National Science Centre, Poland (NCN) grant 2018/31/B/ST2/01022, the Spanish Ministerio de Economia y Competitividad and European FEDER funds grant FIS2017-85053-C2-1-P, and Junta de Andalucia grant FQM-225. We present a calculation of valence double parton distributions of the pion in the framework of chiral quark models. The result obtained at the low-energy quark model scale is particularly simple, where in the chiral limit a factorized form follows, D(x(1), x(2), q') = delta(1 - x(1) - x(2))F (q') with x(1,2) standing for the longitudinal momentum fractions of the valence quark and antiquark, and (q) over right arrow denotes the relative transverse momentum. For (q) over right arrow = (0) over right arrow, the result satisfies the Gaunt-Sterling sum rules. The QCD evolution to higher scales is carried out within the dDGLAP framework. We argue that the ratios of the valence Mellin moments < x(1)(n)x(2)(m)> / < x(1)(n)> < x(2)(m)>, which do not depend on the dDGLAP evolution, provide particularly convenient measures of the longitudinal correlations between the partons. Such ratios could be probed in future lattice QCD simulations. 2022-03-03T13:22:24Z 2022-03-03T13:22:24Z 2021 info:eu-repo/semantics/conferenceObject Broniowski, W. & Ruiz, E. (2021). Double parton distributions of the pion. Acta Physica Polonica B Proceedings Supplement, nº 1, vol. 14. DOI:[10.5506/APhysPolBSupp.14.175] http://hdl.handle.net/10481/73115 10.5506/APhysPolBSupp.14.175 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Jagiellonian University