1. Factorization and transverse phase-space parton distributions
- Author
-
Bin Wu
- Subjects
Nuclear and High Energy Physics ,Nuclear Theory ,nucl-th ,FOS: Physical sciences ,Parton ,QC770-798 ,nucl-ex ,01 natural sciences ,High Energy Physics - Experiment ,Nuclear Theory (nucl-th) ,Cross section (physics) ,High Energy Physics - Experiment (hep-ex) ,High Energy Physics - Phenomenology (hep-ph) ,Factorization ,Nuclear and particle physics. Atomic energy. Radioactivity ,Perturbative QCD ,0103 physical sciences ,Effective field theory ,Nuclear Physics - Experiment ,Quantum field theory ,Nuclear Experiment (nucl-ex) ,010306 general physics ,Nuclear Experiment ,Mathematical physics ,Particle Physics - Phenomenology ,Physics ,010308 nuclear & particles physics ,hep-ex ,High Energy Physics::Phenomenology ,Effective Field Theories ,hep-ph ,High Energy Physics - Phenomenology ,Phase space ,Nuclear Physics - Theory ,Glauber ,Particle Physics - Experiment - Abstract
We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in proton-proton collisions. By imposing these conditions, a general formula for the impact-parameter dependent cross section is derived. Then, using soft-collinear effective theory, we derive a factorization formula for the impact-parameter dependent cross section for inclusive hard processes with only colorless final-state products in hadron and nuclear collisions. It entails defining thickness beam functions, which are Fourier transforms of transverse phase-space parton distribution functions. By modelling non-perturbative modes in thickness beam functions of large nuclei in heavy-ion collisions, the factorization formula confirms the cross section in the Glauber model for hard processes. Besides, the factorization formula is verified up to one loop in perturbative QCD for the inclusive Drell-Yan process in quark-antiquark collisions at a finite impact parameter., Comment: Version published in JHEP, only few typos corrected
- Published
- 2021
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