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

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arxiv 2108.07544 v2 pith:RFNDPTRC submitted 2021-08-17 hep-lat

Marius Löffler , Philipp Wein , Thomas Wurm , Simon Weishäupl , Daniel Jenkins , Rudolf Rödl , Andreas Schäfer , Lisa Walter (for the RQCD Collaboration) This is my paper · ORCID
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Pion Distribution Amplitudes from Functional QCD

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The pion DA computed from functional QCD via LaMET has ⟨ξ²⟩_π = 0.267 (no quoted error), consistent with sum rules and DSE/BSE and 0.8σ below the lattice-LaMET value 0.300(41).

  2. First simultaneous global QCD analysis of kaon and pion parton distributions with lattice QCD constraints

    hep-ph 2025-10 conditional novelty 6.0 of 10

    First simultaneous pion+kaon PDF fit with lattice constraints finds kaon valence anti-up softer than pion's and strange valence more peaked at high x.

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