@misc{10481/73115,
year = {2021},
url = {http://hdl.handle.net/10481/73115},
abstract = {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.},
organization = {National Science Centre, Poland	2018/31/B/ST2/01022},
organization = {Spanish Government	FIS2017-85053-C2-1-P},
organization = {European FEDER funds grant	FIS2017-85053-C2-1-P},
organization = {Junta de Andalucia	FQM-225},
publisher = {Jagiellonian University},
title = {Double parton distributions of the pion},
doi = {10.5506/APhysPolBSupp.14.175},
author = {Broniowski, Wojciech and Ruiz Arriola, Enrique},
}