4.7 Article

Collins-Soper kernel for TMD evolution from lattice QCD

Journal

PHYSICAL REVIEW D
Volume 102, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.102.014511

Keywords

-

Funding

  1. U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC0011090, DE-SC0012704]
  2. National Science Foundation [1841699, ACI-1548562]
  3. MIT Pappalardo fellowship
  4. National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility [DE-AC02-05CH11231]
  5. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-AC02-07CH11359]

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The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum q(T) - Lambda(QCD), this kernel is nonperturbative and can only be determined with controlled uncertainties through experiment or firstprinciples calculations. This work presents the first exploratory determination of the Collins-Soper kernel using the lattice formulation of quantum chromodynamics. In a quenched calculation, the N-f = 0 kernel is determined at scales in the range 250 MeV < q(T) < 2 GeV, and an analysis of the remaining systematic uncertainties is undertaken.

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