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  • Letter
  • Open Access

Determination of the Collins-Soper kernel from cross-sections ratios

Armando Bermudez Martinez1,2,* and Alexey Vladimirov3,4,†

  • 1CERN, 1211 Geneva 23, Switzerland
  • 2Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
  • 3Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
  • 4Departamento de Física Teórica & IPARCOS, Universidad Complutense de Madrid, E-28040 Madrid, Spain

  • *armando.bermudez.martinez@cern.ch
  • †alexeyvl@ucm.es

Phys. Rev. D 106, L091501 – Published 2 November, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L091501

Abstract

The Collins-Soper kernel is a powerful tool for studying the properties of the QCD vacuum and an essential component of the transverse momentum dependent (TMD) factorization theorem. In this paper, we present a novel method for determining the Collins-Soper kernel directly from the comparison of differential cross sections measured at different energies. The method relies solely on the structure of the TMD factorization theorem and thus also provides a direct test of the theorem validity. With minor modifications, the procedure can be applied to the real measured data for Drell-Yan and SIDIS processes. As a demonstration, we analyze the pseudodata generated by the CASCADE event generator and determine the Collins-Soper kernel suggested by the parton branching model.

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