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Related papers: Proton mass decompositions in the NNLO QCD

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Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using…

High Energy Physics - Phenomenology · Physics 2025-06-10 Sreeraj Nair , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

We report results on the proton mass decomposition and also on related quark and glue momentum fractions. The results are based on overlap valence fermions on four ensembles of $N_f = 2+1$ DWF configurations with three lattice spacings and…

High Energy Physics - Lattice · Physics 2018-11-28 Yi-Bo Yang , Jian Liang , Yu-Jiang Bi , Ying Chen , Terrence Draper , Keh-Fei Liu , Zhaofeng Liu

The proton's internal structure is characterized not only by its charge and magnetic distribution but also by its mechanical and mass properties, which are encoded in the energy-momentum tensor (EMT) of quantum chromodynamics (QCD). These…

High Energy Physics - Phenomenology · Physics 2025-07-04 The MMGPDs Collaboration , Muhammad Goharipour , Hadi Hashamipour , H. Fatehi , Fatemeh Irani , K. Azizi , S. V. Goloskokov

It is known that the trace anomaly in the QCD energy-momentum tensor $T^{\mu \nu}$ can be attributed to the anomalies for each of the gauge-invariant quark part and gluon part of $T^{\mu \nu}$, and their explicit three-loop formulas have…

High Energy Physics - Phenomenology · Physics 2023-03-22 Kazuhiro Tanaka

Lattice results on sigma terms and global analysis of parton momentum fractions are used to give the quark and glue fractions of the proton mass and rest energy. The mass decomposition in terms of the trace of the energy-momentum tensor is…

High Energy Physics - Phenomenology · Physics 2021-10-20 Keh-Fei Liu

We report the results on the proton mass decomposition and also on the related quark and glue momentum fractions. The results are based on overlap valence fermions on four ensembles of $N_f = 2+1$ DWF configurations with three lattice…

High Energy Physics - Lattice · Physics 2018-04-18 Yi-Bo Yang , Ying Chen , Terrence Draper , Jian Liang , Keh-Fei Liu

The gravitational form factors (GFFs) of a hadron encode fundamental aspects of its structure, including its shape and size as defined from e.g., its energy density. This work presents a determination of the flavor decomposition of the GFFs…

High Energy Physics - Lattice · Physics 2024-06-25 Daniel C. Hackett , Dimitra A. Pefkou , Phiala E. Shanahan

The pion form factors of the QCD energy-momentum tensor (EMT) are studied in the instanton liquid model (ILM) of the QCD vacuum. In this approach the breaking of conformal symmetry is encoded in the form of stronger-than-Poisson…

High Energy Physics - Phenomenology · Physics 2024-10-16 Wei-Yang Liu , Edward Shuryak , Christian Weiss , Ismail Zahed

We embark on a systematical analysis of the quark and gluon gravitational form factors (GFFs) of the proton, by connecting energy-momentum tensor (EMT) and the near-threshold vector meson photoproduction (NTVMP). Concretely, the quark…

High Energy Physics - Phenomenology · Physics 2024-04-04 Xiao-Yun Wang , Fancong Zeng , Jiyuan Zhang

Understanding the internal structure of the proton-including the distributions of quarks and gluons and their contributions to proton properties such as mass-remains a central challenge in quantum chromodynamics (QCD). While quark…

High Energy Physics - Phenomenology · Physics 2026-03-06 Jiali Deng , Defu Hou

We investigate the mechanical properties of the proton by extracting its flavor-decomposed gravitational form factors (GFFs) using Light-Cone QCD sum rules (LCSR). These form factors encode critical information about the internal dynamics…

High Energy Physics - Phenomenology · Physics 2025-08-12 Zeinab Dehghan , F. Almaksusi , K. Azizi

Gravitational form factors (GFFs), defined through the matrix elements of the energy-momentum tensor, provide critical insights into the internal structure of nucleons and nuclei. In particular, their Fourier transforms -- evaluated in the…

Nuclear Experiment · Physics 2025-05-12 Zein-Eddine Meziani

The form factors for the hadron matrix element of the QCD energy-momentum tensor not only describe the coupling of the hadron with a graviton as the ``gravitational form factors'', but also serve as unique quantities for describing the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Kazuhiro Tanaka

The exact decomposition of the proton spin has been a much debated topic, on the experimental as well as the theoretical side. In this talk we would like to report on recent non-perturbative results and ongoing efforts to explore the proton…

The mass radius is a fundamental property of the proton that so far has not been determined from experiment. Here we show that the mass radius of the proton can be rigorously defined through the formfactor of the trace of the…

High Energy Physics - Phenomenology · Physics 2021-09-22 Dmitri E. Kharzeev

The electromagnetic form factors of the proton and the neutron are computed within lattice QCD using simulations with quarks masses fixed to their physical values. Both connected and disconnected contributions are computed. We analyze two…

High Energy Physics - Lattice · Physics 2019-08-28 C. Alexandrou , S. Bacchio , M. Constantinou , J. Finkenrath , K. Hadjiyiannakou , K. Jansen , G. Koutsou , A. Vaquero Aviles Casco

Inspired by the recent near-threshold $J/\psi$ photoproduction measurements, we discuss gluon gravitational form factors (GFFs) and internal properties of the proton. This work presents a complete analysis of the proton gluon GFFs…

High Energy Physics - Phenomenology · Physics 2023-06-02 Xiao-Yun Wang , Fancong Zeng , Quanjin Wang

A future Electron-Ion Collider will enable the gluon contributions to the gravitational form factors of the proton to be constrained experimentally for the first time. Here, the first calculation of these form factors from lattice Quantum…

High Energy Physics - Lattice · Physics 2019-01-30 P. E. Shanahan , W. Detmold

The gravitational form factors (GFFs) of hadrons encode the matrix elements of the energy momentum tensor of QCD. These quantities describe how energy, spin, and various mechanical properties of hadrons are carried by their quark and gluon…

High Energy Physics - Lattice · Physics 2022-06-15 Dimitra A. Pefkou , Daniel C. Hackett , Phiala E. Shanahan

We compute the gluonic contribution to the gravitational form factors of the proton using the improved holographic QCD model, in which the proton is described in terms of bulk Dirac fermions. Model parameters are constrained using lattice…

High Energy Physics - Theory · Physics 2026-02-26 Antti Hippeläinen , Niko Jokela , Matti Järvinen
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