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Quark and gluon momentum fractions in the pion and in the kaon

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arxiv 2405.08529 v1 pith:BPKXECWT submitted 2024-05-14 hep-lat hep-ph

Constantia Alexandrou , Simone Bacchio , Martha Constantinou , Joseph Delmar , Jacob Finkenrath , Bartosz Kostrzewa , Marcus Petschlies , Luis Alberto Rodriguez Chacon
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Gregoris Spanoudes Fernanda Steffens Carsten Urbach Urs wenger
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classification hep-lathep-ph
keywords momentumpionkaonphysicalquarkcarriedcontinuumdecomposition
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the full decomposition of the momentum fraction carried by quarks and gluons in the pion and the kaon. We employ three gauge ensembles generated with $N_f=2+1+1$ Wilson twisted-mass clover-improved fermions at the physical quark masses. For both mesons we perform a continuum extrapolation directly at the physical pion mass, which allows us to determine for the first time the momentum decomposition at the physical point. We find that the total momentum fraction carried by quarks is 0.532(56) and 0.618(32) and by gluons 0.388(49) and 0.408(61) in the pion and in the kaon, respectively, in the $\overline{\mathrm{MS}}$ scheme and at the renormalization scale of 2 GeV. Having computed both the quark and gluon contributions in the continuum limit, we find that the momentum sum is 0.926(68) for the pion and 1.046(90) for the kaon, verifying the momentum sum rule.

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Cited by 3 Pith papers

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

  1. The nucleon unpolarized generalized form factors and Mellin moments up to fourth order

    hep-lat 2026-07 conditional novelty 6.0 of 10

    First lattice-QCD extraction of nucleon unpolarized Mellin moments through fourth order at physical pion mass, with GFF Q^{2} dependence and a reconstructed isovector valence PDF.

  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.

  3. Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.

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