Double parton distributions in the nucleon from lattice QCD

Gunnar Bali (Institute for Theoretical Physics, University of Regensburg, Regensburg, 93040, Germany; Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India) ; Markus Diehl (Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Hamburg, 22607, Germany) ; Benjamin Gläßle (Zentrum für Datenverarbeitung, Universität Tübingen, Wächterstr. 76, Tübingen, 72074, Germany) ; Andreas Schäfer (Institute for Theoretical Physics, University of Regensburg, Regensburg, 93040, Germany) ; Christian Zimmermann (Institute for Theoretical Physics, University of Regensburg, Regensburg, 93040, Germany)

We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this first study, we employ an n f = 2+1 ensemble with pseudoscalar masses of m π = 355 MeV and m K = 441 MeV. The results are converted to the scale μ = 2 GeV. Our calculation includes all Wick contractions, and for almost all of them a good statistical signal is obtained. We analyze the dependence of the DPD Mellin moments on the quark flavor and the quark polarization. Furthermore, the validity of frequently used factorization assumptions is investigated.

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      "surname": "Gl\u00e4\u00dfle", 
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      "source": "Springer", 
      "value": "We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this first study, we employ an n  f  = 2+1 ensemble with pseudoscalar masses of m  \u03c0  = 355 MeV and m  K  = 441 MeV. The results are converted to the scale \u03bc = 2 GeV. Our calculation includes all Wick contractions, and for almost all of them a good statistical signal is obtained. We analyze the dependence of the DPD Mellin moments on the quark flavor and the quark polarization. Furthermore, the validity of frequently used factorization assumptions is investigated."
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Published on:
17 September 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 9
Pages 1-75
DOI:
https://doi.org/10.1007/JHEP09(2021)106
arXiv:
2106.03451
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: