Abstract
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 MS[over ¯] scheme at 2GeV. We find ⟨x⟩_{u+d}=0.601(28), ⟨x⟩_{s}=0.059(13), ⟨x⟩_{c}=0.019(05), and ⟨x⟩_{g}=0.52(11) for the separate contributions, respectively, whose sum saturates the momentum sum rule.
Highlights
Pion mass, and is the pion full or empty of gluons as viewed at large Q2? The results presented in this Letter on the momentum decomposition of the pion using lattice QCD simulations address both questions
In this Letter we present the first calculation of the quark and gluon momentum fractions in the pion based on lattice QCD simulations with Nf 1⁄4 2 þ 1 þ 1 dynamical quark flavors including all required contributions
Lattice computation.—Our computation is based on an ensemble [32] generated by the Extended Twisted Mass Collaboration using Nf 1⁄4 2 þ 1 þ 1 dynamical Wilson twisted mass clover fermions at maximal twist [33,34] and Iwasaki gauge action [35]
Summary
Gluons and sea quarks in the pion. Precise lattice QCD data for both quark and gluon momentum fractions have, the potential to add new model independent constraints on the extraction of pion PDFs from experimental data. In this Letter we present the first calculation of the quark and gluon momentum fractions in the pion based on lattice QCD simulations with Nf 1⁄4 2 þ 1 þ 1 dynamical quark flavors including all required contributions. The computation is performed using one ensemble with physical values of all four quark mass parameters This allows us to check the momentum sum rule, i.e., whether all four quark and the gluon fractions sum up to one. Lattice computation.—Our computation is based on an ensemble [32] generated by the Extended Twisted Mass Collaboration using Nf 1⁄4 2 þ 1 þ 1 dynamical Wilson twisted mass clover fermions at maximal twist [33,34] and Iwasaki gauge action [35]. The relevant elements of the traceless Euclidean energymomentum tensor (EMT) for quark flavor q with the
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
