Antenna factorization of gauge theory amplitudes

I derive a single factorization formula which summarizes all soft and collinear divergences of a tree-level gauge theory amplitude. The singular factor squared is in a certain sense the generalization of the Catani-Seymour dipole factorization formula.

Note:

13 pages; two equations corrected, one omitted, clarifying comments added, final Phys. Rev. version

gauge field theory: SU(N)
n-point function: factorization

References(20)

Figures(0)

The Six Gluon Process as an Example of Weyl-Van Der Waerden Spinor Calculus

Frits A. Berends
(
- Leiden U.
)
,
W. Giele
(
- Leiden U.
)

- Nucl.Phys.B 294 (1987) 700-732
•
DOI:
- 10.1016/0550-3213(87)90604-3

MULTI GLUON SCATTERING: A STRING BASED CALCULATION

- Phys.Lett.B 201 (1988) 85-89
•
DOI:
- 10.1016/0370-2693(88)90085-8

Duality and Multi - Gluon Scattering

Michelangelo L. Mangano
(
- Fermilab
)
,
Stephen J. Parke
(
- Fermilab
)
,
Zhan Xu
(
- Fermilab
)

- Nucl.Phys.B 298 (1988) 653-672
•
DOI:
- 10.1016/0550-3213(88)90001-6

Color decomposition of one loop amplitudes in gauge theories

Zvi Bern
(
- Pittsburgh U.
)
,
David A. Kosower
(
- Fermilab
)

- Nucl.Phys.B 362 (1991) 389-448
•
DOI:
- 10.1016/0550-3213(91)90567-H

Asymptotic Freedom in Parton Language

- Nucl.Phys.B 126 (1977) 298-318
•
DOI:
- 10.1016/0550-3213(77)90384-4

Higher order corrections to jet cross-sections in e+ e- annihilation

W.T. Giele
(
- Fermilab
)
,
E.W.Nigel Glover
(
- Fermilab
)

- Phys.Rev.D 46 (1992) 1980-2010
•
DOI:
- 10.1103/PhysRevD.46.1980

Three jet cross-sections to next-to-leading order

- Nucl.Phys.B 467 (1996) 399-442
•
e-Print:
- hep-ph/9512328
•
DOI:
- 10.1016/0550-3213(96)00110-1

The Dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order

S. Catani
(
- INFN, Florence and
- Florence U.
)
,
M.H. Seymour
(
- CERN
)

- Phys.Lett.B 378 (1996) 287-301
•
e-Print:
- hep-ph/9602277
•
DOI:
- 10.1016/0370-2693(96)00425-X

A General algorithm for calculating jet cross-sections in NLO QCD

S. Catani
(
- Florence U. and
- INFN, Florence
)
,
M.H. Seymour
(
- CERN
)

- Nucl.Phys.B 485 (1997) 291-419,
- Nucl.Phys.B 510 (1998) 503-504 (erratum)
•
e-Print:
- hep-ph/9605323
•
DOI:
- 10.1016/S0550-3213(96)00589-5

Jet Structure and Infrared Sensitive Quantities in Perturbative QCD

A. Bassetto
(
- Trento U.
)
,
M. Ciafaloni
(
- Florence U. and
- Pisa, Scuola Normale Superiore
)
,
G. Marchesini
(
- Parma U.
)

- Phys.Rept. 100 (1983) 201-272
•
DOI:
- 10.1016/0370-1573(83)90083-2

Reaction amplitude for n mesons: A Generalization of the Veneziano-Bardakci-Ruegg-Virasora model

Z. Koba
(
- Bohr Inst.
)
,
Holger Bech Nielsen
(
- Bohr Inst.
)

- Nucl.Phys.B 10 (1969) 633-655
•
DOI:
- 10.1016/0550-3213(69)90331-9

Superstring Theory

John H. Schwarz
(
- Caltech
)

- Phys.Rept. 89 (1982) 223-322,
- In *Schwarz, J.h. ( Ed.): Superstrings, Vol. 1*, 442-540. ( Phys. Rep. 89 ( 1982) 223-322) and Caltech Pasadena - CALT-68-0911 (REC.JUN.82) 170p
•
DOI:
- 10.1016/0370-1573(82)90087-4

Multiparton amplitudes in gauge theories

Michelangelo L. Mangano
(
- INFN, Pisa and
- Pisa, Scuola Normale Superiore and
- Pisa U.
)
,
Stephen J. Parke
(
- Fermilab
)

- Phys.Rept. 200 (1991) 301-367,
- Phys. Rep. 200 (1991) 301-367 and Fermilab Batavia - FERMILAB-Pub-90-113 (90,rec.Aug.) 81 p
•
e-Print:
- hep-th/0509223
•
DOI:
- 10.1016/0370-1573(91)90091-Y

Supersymmetric Dimensional Regularization via Dimensional Reduction

Warren Siegel
(
- Harvard U.
)

- Phys.Lett.B 84 (1979) 193-196
•
DOI:
- 10.1016/0370-2693(79)90282-X

Regularization and Renormalization of Gauge Fields

Gerard 't Hooft
(
- Utrecht U.
)
,
M.J.G. Veltman
(
- Utrecht U.
)

- Nucl.Phys.B 44 (1972) 189-213,
- Also in *Lai, C. H. ( Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 322-346
•
DOI:
- 10.1016/0550-3213(72)90279-9

Regularization by Dimensional Reduction of Supersymmetric and Nonsupersymmetric Gauge Theories

D.M. Capper
(
- Queen Mary, U. of London
)
,
D.R.T. Jones
(
- Rutherford
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 167 (1980) 479-499
•
DOI:
- 10.1016/0550-3213(80)90244-8

Dimensional Regularization and Supersymmetry

L.V. Avdeev
(
- Dubna, JINR
)
,
A.A. Vladimirov
(
- Dubna, JINR
)

- Nucl.Phys.B 219 (1983) 262-276
•
DOI:
- 10.1016/0550-3213(83)90437-6

The Computation of loop amplitudes in gauge theories

Zvi Bern
(
- Pittsburgh U.
)
,
David A. Kosower
(
- Fermilab
)

- Nucl.Phys.B 379 (1992) 451-561
•
DOI:
- 10.1016/0550-3213(92)90134-W

Recursive Calculations for Processes with n Gluons

Frits A. Berends
(
- Leiden U.
)
,
W.T. Giele
(
- Leiden U.
)

- Nucl.Phys.B 306 (1988) 759-808
•
DOI:
- 10.1016/0550-3213(88)90442-7

Light Cone Recurrence Relations for QCD Amplitudes

David A. Kosower
(
- Fermilab
)

- Nucl.Phys.B 335 (1990) 23-44
•
DOI:
- 10.1016/0550-3213(90)90167-C