Diagrammatic mass factorization

Journal Article · Sat May 15 00:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.2593· OSTI ID:5494285

Humpert, B; van Neerven, W L

We develop an analogy between mass factorization (concerning the mass equivalent collinear singularities) and multiplicative Bogoliubov-Parasiuk-Hepp-Zimmermann renormalization (concerning the ultraviolet singularities) with the role of the renormalization constant taken over by the operator matrix elements. By introducing Zimmermann's forest formula we demonstrate its use in constructing the deep-inelastic (DI)/Drell-Yan (DY) factorized parton cross sections and arrive at an all-order proof of mass factorization. The DY correction term is determined by similar reasonings. The noncancellation of the higher-order QCD infrared singularities is left apart.

• Research Organization: Swiss Federal Institute of Technology, Laboratory of High Energy Physics, CH-5234 Villigen, Switzerland
• OSTI ID: 5494285
• Journal Information: Phys. Rev. D; (United States), Vol. 25:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
DRELL MODEL
MASS
ULTRAVIOLET DIVERGENCES
DEEP INELASTIC SCATTERING
INFRARED DIVERGENCES
MATRIX ELEMENTS
RENORMALIZATION
FIELD THEORIES
INELASTIC SCATTERING
INTERACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
SCATTERING
645400* - High Energy Physics- Field Theory
645201 - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory