Three-dimensional imaging of pion using lattice QCD: generalized parton distributions
2020
34 pages
Published in:
- JHEP 02 (2025) 056,
- JHEP 25 (2020) 056
- Published: Feb 11, 2025
e-Print:
- 2407.03516 [hep-lat]
View in:
Citations per year
Abstract: (Springer)
In this work, we report a lattice calculation of x-dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values of the momentum transfer −t. The calculations are based on an N = 2 + 1 gauge ensemble of highly improved staggered quarks with Wilson-Clover valence fermion. The lattice spacing is 0.04 fm, and the pion valence mass is tuned to be 300 MeV. We determine the Lorentz-invariant amplitudes of the quasi-GPD matrix elements for both symmetric and asymmetric momenta transfers with similar values and show the equivalence of both frames. Then, focusing on the asymmetric frame, we utilize a hybrid scheme to renormalize the quasi-GPD matrix elements obtained from the lattice calculations. After the Fourier transforms, the quasi-GPDs are then matched to the light-cone GPDs within the framework of large momentum effective theory with improved matching, including the next-to-next-to-leading order perturbative corrections, and leading renormalon and renormalization group resummations. We also present the 3-dimensional image of the pion in impact-parameter space through the Fourier transform of the momentum transfer −t.Note:
- 34 pages, 22 figures
- Hadronic Spectroscopy
- Structure and Interactions
- Lattice QCD
- Non-Perturbative Renormalization
References(90)
Figures(27)
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