Coulomb gluons and the ordering variable

  • Rene Angeles Martinez

Student thesis: Phd


In this thesis, we study the soft gluon corrections to hard wide-angle scattering processes due to a virtual gluon exchange (one-loop order) and the emission of up to two gluons. Our primary aim is to determine the ordering condition that should be used to dress a hard scattering process with corrections due to gluon emissions and a Coulomb (Glauber) gluon exchange. We find that, due to an elegant cancellation of many Feynman diagrams, a specific ordering variable should be used to order the transverse momentum of the exchanged Coulomb gluon with respect to the real emissions. Furthermore, in the case of the scattering process accompanied with a single emission, we find that the radiative part of the loop correction satisfies the same ordering condition as the Coulomb gluon contribution. Based upon the assumption that the ordering condition continues at higher orders, we conjecture an expression for the soft corrections to a general hard scattering process due to one-loop and any number of gluon emissions.
Date of Award1 Aug 2016
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorJeffrey Forshaw (Supervisor) & Michael Seymour (Supervisor)


  • Perturbative QCD, Coulomb gluons, Glauber gluons

Cite this