Mellin moments of spin dependent and independent PDFs of the pion and rho meson

Abstract

We compute the second moments of pion and rho parton distribution functions (PDFs) in lattice QCD with $N_f=2+1$ flavors of improved Wilson fermions. We determine both singlet and non-singlet flavor combinations and, for the first time, take disconnected contributions fully into account. In the case of the rho, we also calculate the additional contribution arising from the $b_1$ structure function. The numerical analysis includes 26 ensembles, mainly generated by the CLS effort, with pion masses ranging from 420MeV down to 214MeV and with 5 different lattice spacings in the range of 0.1fm to 0.05fm. This enables us to take the continuum limit, as well as to resolve the quark mass dependencies reliably. Additionally we discuss the contaminations of rho correlation functions by two-pion states.

25 pages, 11 figures, 7 tables

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Cited by in corpus (7)

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• Gravitational form factors of pion from top-down holographic QCD
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Chiral condensate from a hadron resonance gas model
• Scale-anomaly-induced binding pressure in hadrons
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD