scholarly journals Analysis of combined HERA data in the impact-parameter dependent saturation model

2013 ◽  
Vol 87 (3) ◽  
Author(s):  
Amir H. Rezaeian ◽  
Marat Siddikov ◽  
Merijn Van de Klundert ◽  
Raju Venugopalan
Keyword(s):  
Impact Parameter ◽  
Hera Data ◽  
Saturation Model ◽  
Parameter Dependent ◽  
The Impact

scholarly journals Revising the Impact-Parameter dependent Saturation model with combined HERA data

2013 ◽  
Author(s):  
Amir REZAEIAN ◽  
Marat Siddikov ◽  
Merijn H f Van De Klundert ◽  
Raju Venugopalan
Keyword(s):  
Impact Parameter ◽  
Hera Data ◽  
Saturation Model ◽  
Parameter Dependent ◽  
The Impact

scholarly journals Factorization and transverse phase-space parton distributions

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Bin Wu
Keyword(s):  
Phase Space ◽  
Cross Section ◽  
Impact Parameter ◽  
Fourier Transforms ◽  
Distribution Functions ◽  
Glauber Model ◽  
Effective Theory ◽  
Factorization Formula ◽  
Parameter Dependent ◽  
The Impact

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.

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