Transverse Momentum Distributions from Lattice QCD without Wilson Lines
Nov 2, 20235 pages
Published in:
- Phys.Rev.Lett. 133 (2024) 24, 241904
- Published: Dec 13, 2024
e-Print:
- 2311.01391 [hep-ph]
DOI:
- 10.1103/PhysRevLett.133.241904 (publication)
View in:
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Abstract: (APS)
The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a Euclidean lattice. These quantities can be expressed gauge invariantly as the correlators of Coulomb-gauge-dressed fields, which reduce to the standard TMD correlators under principal-value prescription in the infinite boost limit. In the framework of large-momentum effective theory, a quasi-TMD defined from such correlators in a large-momentum hadron state can be matched to the TMD via a factorization formula, whose exact form is derived using soft collinear effective theory and verified at one-loop order. Compared to the currently used gauge-invariant correlators, this new method can substantially improve statistical precision and simplify renormalization for the time-reversal-even TMDs, which will greatly enhance the predicative power of lattice QCD in the nonperturbative region.Note:
- 5 pages and the appendix. Accepted by Physical Review Letters
- invariance: gauge
- parton: correlation function
- transverse momentum: momentum spectrum
- gluon: correlation function
- lattice field theory
- Coulomb gauge
- Wilson loop
- hadron
- renormalization
- Euclidean
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