Nonperturbative Collins-Soper kernel from chiral quarks with physical masses
Mar 1, 20247 pages
Published in:
- Phys.Lett.B 852 (2024) 138617
- Published: Apr 2, 2024
e-Print:
- 2403.00664 [hep-lat]
DOI:
- 10.1016/j.physletb.2024.138617 (publication)
View in:
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Abstract: (Elsevier B.V.)
We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symmetry-preserving domain wall fermion discretization and physical values of light and strange quark masses. The CS kernel is extracted from the ratios of pion quasi-transverse-momentum-dependent wave functions (quasi-TMDWFs) at next-to-leading logarithmic perturbative accuracy. Also for the first time, we utilize the recently proposed Coulomb-gauge-fixed quasi-TMDWF correlator without a Wilson line. We observe significantly slower signal decay with increasing quark separations compared to the established gauge-invariant method with a staple-shaped Wilson line. This enables us to determine the CS kernel at large nonperturbative transverse separations and find its near-linear dependence on the latter. Our result is consistent with the recent lattice calculation using gauge-invariant quasi-TMDWFs, and agrees with various recent phenomenological parametrizations of experimental data.Note:
- 7 pages, 4 figures; published version
- Transverse-momentum-dependent distributions
- Collins-Soper kernel
- Lattice QCD
- Coulomb gauge
- Domain-wall fermion
- invariance: gauge
- quark: chiral
- fermion: domain wall
- quark: mass
- Wilson loop
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