Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference51 articles.
1. J. C. Collins, D. E. Soper and G. F. Sterman, Factorization of Hard Processes in QCD, Adv. Ser. Direct. High Energy Phys. 5 (1989) 1 [hep-ph/0409313] [INSPIRE].
2. G. F. Sterman, Partons, factorization and resummation, TASI 95, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond, (1995) [hep-ph/9606312] [INSPIRE].
3. G. T. Bodwin, Factorization of the Drell-Yan Cross-Section in Perturbation Theory, Phys. Rev. D 31 (1985) 2616 [Erratum ibid. 34 (1986) 3932] [INSPIRE].
4. J. C. Collins, D. E. Soper and G. F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production, Nucl. Phys. B 250 (1985) 199 [INSPIRE].
5. J. C. Collins, D. E. Soper and G. F. Sterman, Factorization for Short Distance Hadron - Hadron Scattering, Nucl. Phys. B 261 (1985) 104 [INSPIRE].
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献