Angular distribution tests for lepton pair production

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1980

OSTI ID:5505940

Ralston, J P

The high energy process p + p ..-->.. l + l -+ X for dimuons with large invariant mass is studied from a general point of view, assuming only one photon decay and emphasizing general covariance. We define structure functions for describing the angular distribution of the dimuons for the cases of upolarized hadrons, one polarized proton and one unpolarized hadron, and two polarized protons. We formulate the Drell-Yan model for this process and relate constituent spin to hadron spin. The model predicts a cross section that is very simple. We point out the stringent, qualitative test of the model that measurement of such functions would provide. For the case of one polarized proton and one unpolarized particle we find eight spin dependent functions possible describing the angular distribution at measured transverse momentum. All of the spin dependent functions are zero in the Drell-Yan model. Besides proving a rigorous test for the model, we show how the origin of dimuon transverse momentum at the highest energies could be tracked down by measurement of this effect. The compatibility of the Drell-Yan model with axial gauge Quantum Chromodynamics (QCO) is discussed. We review the problem of collinear singularities in QCD perturbation theory calculations of non-leading terms such as the angular distribution coefficients. We calculate the leading effect on the dimuon transverse momentum distribution arising from the first corrections to the quark annihilation Green Function in axial gauge QCD. These corrections, which are dominated by infrared integration regions, are negligible in a certain high energy limit.

• Research Organization: Oregon Univ., Eugene (USA)
• OSTI ID: 5505940
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BEAMS
DISTRIBUTION
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
LEPTONS
LINEAR MOMENTUM
MATHEMATICAL MODELS
MUON PAIRS
NUCLEON-NUCLEON INTERACTIONS
PAIR PRODUCTION
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
POLARIZED BEAMS
PROTON-NUCLEON INTERACTIONS
PROTON-PROTON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SPIN
STRUCTURE FUNCTIONS
TRANSVERSE MOMENTUM