Published November 2008 | Version v1
Journal article

Antenna functions from MHV rules

  • 1. Center for Particle Physics and Phenomenology (CP3), Universite Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-La-Neuve (Belgium)

Description

QCD amplitudes display a universal behaviour when one or more partons are soft and/or collinear. This can expressed in terms of antenna functions which are much simpler than the full amplitudes and yet correctly embody their infrared behaviour. We show how antenna functions can be naturally obtained via a twistor-inspired MHV approach. As an application, we present compact results for MHV and NMHV antennas functions valid for any number of gluons. These are sufficient to calculate the complete set of tree-level gluon antenna functions up to N3LO. As an interesting corollary, we prove that splitting amplitudes too can be written directly through a MHV diagrammatic approach. Finally we find that antenna functions, collinear splitting amplitudes and eikonal factors satisfy the same kind of recursive relation as the full amplitudes.

Availability note (English)

Available from http://dx.doi.org/10.1088/1126-6708/2008/11/002

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
11
Journal Issue
2008
Journal Page Range
p. 002
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41111923
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
AMPLITUDES; EIKONAL APPROXIMATION; FUNCTIONS; GLUONS; HELICITY; QUANTUM CHROMODYNAMICS; TWISTOR THEORY
Descriptors DEC
APPROXIMATIONS; BOSONS; CALCULATION METHODS; FIELD THEORIES; PARTICLE PROPERTIES; QUANTUM FIELD THEORY