Factorization and transverse phase-space parton distributions

被引：7
作者：
Wu, Bin [1 ,2 ,3 ]
机构：
[1] CERN, Theoret Phys Dept, CH-1211 Geneva 23, Switzerland
[2] Univ Santiago de Compostela, Inst Galego Fis Altas Enerxias IGFAE, E-15782 Galicia, Spain
[3] Univ Lisbon, LIP, Av Prof Gama Pinto 2, P-1649003 Lisbon, Portugal
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 07期
关键词：
Effective Field Theories; Perturbative QCD;
D O I：
10.1007/JHEP07(2021)002
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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.
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页数：29
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