Factorization and transverse phase-space parton distributions
arXiv:2102.12916 · doi:10.1007/JHEP07(2021)002
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.
arXiv commentVersion published in JHEP, only few typos corrected
References in corpus (18)
- An effective field theory for collinear and soft gluons: heavy to light decays
- Glauber Modeling in High Energy Nuclear Collisions
- Soft-Collinear Factorization in Effective Field Theory
- Generalized Parton Distributions
- EPS09 - a New Generation of NLO and LO Nuclear Parton Distribution Functions
- Invariant Operators in Collinear Effective Theory
- Hard Scattering Factorization from Effective Field Theory
- Soft-collinear effective theory and heavy-to-light currents beyond leading power
- Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
- Quark Imaging in the Proton Via Quantum Phase-Space Distributions
- Small System Collectivity in Relativistic Hadron and Nuclear Collisions
- Factorization at the LHC: From PDFs to Initial State Jets
- Nuclear shadowing
- Impact-parameter dependent nuclear parton distribution functions: EPS09s and EKS98s and their applications in nuclear hard processes
- Spectator Interactions in Soft-Collinear Effective Theory
- Experimental overview on small collision systems at the LHC
- Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory
- Shadowing Effects on Vector Boson Production
Cited by in corpus (5)
- Heavy quarks and jets as probes of the QGP
- Further developments of a multi-phase transport model for relativistic nuclear collisions
- Probing the gluon tomography in photoproduction of di-pions
- Anisotropic flow and the valence quark skeleton of hadrons
- Factorization of photon induced processes in ultra-peripheral heavy ion collisions