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Quark and gluon momentum fractions in the pion from N_f=2+1+1 lattice QCD

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arxiv 2109.10692 v1 pith:QWC3P263 submitted 2021-09-22 hep-lat hep-ph

Quark and gluon momentum fractions in the pion from N_f=2+1+1 lattice QCD

Constantia Alexandrou , Simone Bacchio , Georg Bergner , Jacob Finkenrath , Andrew Gasbarro , Kyriakos Hadjiyiannakou , Karl Jansen , Bartosz Kostrzewa
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Konstantin Ottnad Marcus Petschlies Ferenc Pittler Fernanda Steffens Carsten Urbach Urs Wenger
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classification hep-lat hep-ph
keywords avgxmassmomentumpioncontributionsgluonquarktwisted
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with $N_f=2 + 1 +1$ Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the $\overline{\mathrm{MS}}$ scheme at $2\gev$. We find $\avgx_{u+d}=0.601(28)$, $\avgx_s=0.059(13)$, $\avgx_c=0.019(05)$, and $\avgx_g=0.52(11)$ for the separate contributions, respectively, whose sum saturates the momentum sum rule.

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  1. Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD

    hep-lat 2026-06 unverdicted novelty 6.0

    First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.