Quark and Gluon Momentum Fractions in the Pion from ${N}_{f}=2+1+1$ Lattice QCD

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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, Konstantin Ottnad, Marcus Petschlies, Ferenc Pittler, Fernanda Steffens, Carsten Urbach, and Urs Wenger (Extended Twisted Mass Collaboration)

Phys. Rev. Lett. 127, 252001 – Published 13 December 2021

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 $\bar{MS}$ scheme at 2 GeV. 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.

Received 23 September 2021
Accepted 3 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.252001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Lattice QCD Quantum chromodynamics

Particles & FieldsNuclear Physics

Authors & Affiliations

Constantia Alexandrou^1,2, Simone Bacchio², Georg Bergner³, Jacob Finkenrath², Andrew Gasbarro⁴, Kyriakos Hadjiyiannakou^1,2, Karl Jansen⁵, Bartosz Kostrzewa⁶, Konstantin Ottnad⁷, Marcus Petschlies^8,9, Ferenc Pittler², Fernanda Steffens^8,9, Carsten Urbach^8,9, and Urs Wenger^4,10 (Extended Twisted Mass Collaboration)

¹Department of Physics, University of Cyprus, Nicosia 2109, Cyprus
²Computation-based Science and Technology Research Center, The Cyprus Institute, Nicosia 2121, Cyprus
³Institute of Theoretical Physics, Friedrich Schiller University Jena, Jena 07743, Germany
⁴Albert Einstein Center, Institute for Theoretical Physics, University of Bern, Bern CH-3012, Switzerland
⁵NIC, DESY, Zeuthen 15738, Germany
⁶High Performance Computing and Analytics Lab, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn 53115, Germany
⁷PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, Mainz 55099, Germany
⁸Helmholtz-Institut für Strahlen- und Kernphysik, University of Bonn, Bonn 53115, Germany
⁹Bethe Center for Theoretical Physics, University of Bonn, Bonn 53115, Germany
¹⁰Department of Theoretical Physics, CERN, Geneva CH-1211, Switzerland

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Issue

Vol. 127, Iss. 25 — 17 December 2021

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