Collins-Soper Kernel for TMD Evolution from Lattice QCD

Phiala Shanahan; Michael Wagman; Yong Zhao

doi:10.1103/PhysRevD.102.014511

Collins-Soper Kernel for TMD Evolution from Lattice QCD

High Energy Physics - Lattice 2020-08-07 v2 High Energy Physics - Phenomenology Nuclear Theory

Authors: Phiala Shanahan , Michael Wagman , Yong Zhao

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Abstract

The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum $q_T\sim \Lambda_\text{QCD}$ , this kernel is non-perturbative and can only be determined with controlled uncertainties through experiment or first-principles 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.

Keywords

parton distribution functions lattice qcd

Cite

@article{arxiv.2003.06063,
  title  = {Collins-Soper Kernel for TMD Evolution from Lattice QCD},
  author = {Phiala Shanahan and Michael Wagman and Yong Zhao},
  journal= {arXiv preprint arXiv:2003.06063},
  year   = {2020}
}

Comments

10 pages, 5 figures and Appendix

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