## Abstract

We present the first nonperturbatively renormalized determination of the glue momentum fraction x g in the nucleon, based on lattice-QCD simulations at the physical pion mass using the cluster-decomposition error reduction technique. We provide the first practical strategy to renormalize the gauge energy-momentum tensor nonperturbatively in the regularization-independent momentum-subtraction (RI/MOM) scheme and convert the results to the MS̄ scheme with one-loop matching. The simulation results show that the cluster-decomposition error reduction technique can reduce the statistical uncertainty of its renormalization constant by a factor of O(300) in calculations using a typical state-of-the-art lattice volume, and the nonperturbatively renormalized x g is shown to be independent of the lattice definitions of the gauge energy-momentum tensor up to discretization errors. We determine the renormalized x gMS̄(2 GeV) to be 0.47(4)(11) at the physical pion mass, which is consistent with the experimentally determined value.

Original language | English |
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Article number | 074506 |

Journal | Physical Review D |

Volume | 98 |

Issue number | 7 |

DOIs | |

State | Published - Oct 1 2018 |

### Bibliographical note

Publisher Copyright:© 2018 authors. Published by the American Physical Society.

## ASJC Scopus subject areas

- Nuclear and High Energy Physics