Soft gluons in logarithmic summations

  title={Soft gluons in logarithmic summations},
  author={H.-n. Li and Jyh-Liong Lim},
  journal={The European Physical Journal C - Particles and Fields},
  • H.-n. LiJyh-Liong Lim
  • Published 5 March 1999
  • Physics
  • The European Physical Journal C - Particles and Fields
Abstract. We demonstrate that all the known single- and double-logarithm summations for a parton distribution function can be unified in the Collins–Soper resummation technique by applying soft approximations appropriate in different kinematic regions to real gluon emissions. Neglecting the gluon longitudinal momentum, we obtain the $k_{\mathrm{T}}$ (double-logarithm) resummation for two-scale QCD processes, and the Balitsky–Fadin–Kuraev–Lipatov (single-logarithm) equation for one-scale… 
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