Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions - INSPIRE

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Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions

W.L. van Neerven
(
- Dortmund U.
)

Apr, 1985

36 pages

Published in:

Nucl.Phys.B 268 (1986) 453-488

Published: 1986

DOI:

10.1016/0550-3213(86)90165-3

Report number:

DO-TH-85-10

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Abstract: (Elsevier)

We show how massless two-loop on-shell vertex functions can be calculated in a very elegant way if mass and infrared singularities are regularized by n -dimensional regularization. Using dispersion methods one is able to express the Feynman integrals in a product of gamma functions. As an application of our techniques we have calculated a two-loop on-shell form factor. Its infrared behaviour will be compared with the predictions of some resummation formulae which have been derived in the literature.

FIELD THEORY: INFRARED PROBLEM
field theory: scalar
RENORMALIZATION: REGULARIZATION
VERTEX FUNCTION: ON-SHELL
FORM FACTOR
GAUGE FIELD THEORY: SU(N)
MODEL: DRELL-YAN
FEYNMAN GRAPH: HIGHER-ORDER

References(32)

Figures(0)

Asymptotic Freedom in Deep Inelastic Processes in the Leading Order and Beyond

Andrzej J. Buras
(
- Fermilab
)

- Rev.Mod.Phys. 52 (1980) 199,
- Ames Wkshp.1978:634
•
DOI:
- 10.1103/RevModPhys.52.199

Partons in Quantum Chromodynamics

Guido Altarelli
(
- Rome U. and
- INFN, Rome
)

- Phys.Rept. 81 (1982) 1
•
DOI:
- 10.1016/0370-1573(82)90127-2

Dimensional Renormalization: The Number of Dimensions as a Regularizing Parameter

C.G. Bollini
(
- La Plata U.
)
,
J.J. Giambiagi
(
- La Plata U.
)

- Nuovo Cim.B 12 (1972) 20-26,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 259-264
•
DOI:
- 10.1007/BF02895558

Higher-order contributions to the divergent part of Z(3) in a model quan tum electrodynamics

Jonathan L. Rosner

- Annals Phys. 44 (1967) 11-34
•
DOI:
- 10.1016/0003-4916(67)90262-X

Hyperspherical approach to quantum electrodynamics - sixth-order magnetic moment

Michael J. Levine
(
- Carnegie Mellon U.
)
,
R. Roskies
(
- Pittsburgh U.
)

- Phys.Rev.D 9 (1974) 421-429
•
DOI:
- 10.1103/PhysRevD.9.421

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

Fourth Order QCD Contributions to the e+ e- Annihilation Cross-Section

- Phys.Rev.D 21 (1980) 3112
•
DOI:
- 10.1103/PhysRevD.21.3112

Higher Order Corrections to Sigma-t (e+ e- ---> Hadrons) in Quantum Chromodynamics

- Phys.Lett.B 85 (1979) 277-279
•
DOI:
- 10.1016/0370-2693(79)90596-3

- Teor.Mat.Fiz. 43 417

Dimensional regularization of the infrared problem

R. Gastmans
(
- Louvain U.
)
,
R. Meuldermans
(
- Louvain U.
)

- Nucl.Phys.B 63 (1973) 277-284
•
DOI:
- 10.1016/0550-3213(73)90146-6

Dimensional Regularization and Mass Singularities

W.J. Marciano
(
- Rockefeller U.
)

- Phys.Rev.D 12 (1975) 3861
•
DOI:
- 10.1103/PhysRevD.12.3861

Large Perturbative Corrections to the Drell-Yan Process in QCD

Guido Altarelli
(
- Rome U. and
- INFN, Rome
)
,
R.Keith Ellis
(
- MIT, LNS
)
,
G. Martinelli
(
- Frascati
)

- Nucl.Phys.B 157 (1979) 461-497
•
DOI:
- 10.1016/0550-3213(79)90116-0

AMBIGUITIES IN THE INFRARED REGULARIZATION OF QCD

B. Humpert
(
- CERN
)
,
W.L. Van Neerven
(
- CERN
)

- Phys.Lett.B 84 (1979) 327,
- Phys.Lett.B 85 (1979) 471 (erratum)
•
DOI:
- 10.1016/0370-2693(79)91299-1

Infrared and Mass Regularization in Af Field Theories 2. {QCD}

B. Humpert
(
- CERN
)
,
W.L. van Neerven
(
- CERN
)

- Nucl.Phys.B 184 (1981) 225-268
•
DOI:
- 10.1016/0550-3213(81)90217-0

Infrared and Mass Regularization in Af Field Theories. 1. $\phi^3$ in Six-dimensions

B. Humpert
(
- CERN
)
,
W.L. van Neerven
(
- CERN
)

- Nucl.Phys.B 178 (1981) 498-526
•
DOI:
- 10.1016/0550-3213(81)90169-3

DIMENSIONALLY REGULARIZED TWO LOOP ON-SHELL QUARK FORM-FACTOR

Richard J. Gonsalves
(
- SUNY, Buffalo
)

- Phys.Rev.D 28 (1983) 1542
•
DOI:
- 10.1103/PhysRevD.28.1542

Singularities and discontinuities of Feynman amplitudes

R.E. Cutkosky
(
- Carnegie Mellon U.
)

- J.Math.Phys. 1 (1960) 429-433
•
DOI:
- 10.1063/1.1703676

Electron form-factors up to fourth order. 1.

Riccardo Barbieri
(
- Pisa, Scuola Normale Superiore
)
,
J.A. Mignaco
(
- Rosario U.
)
,
E. Remiddi
(
- Bologna U. and
- INFN, Bologna
)

- Nuovo Cim.A 11 (1972) 824-864
•
DOI:
- 10.1007/BF02728545

{QCD} Calculations in the Light Cone Gauge. 1

D.J. Pritchard
(
- Cambridge U.
)
,
W.James Stirling
(
- Cambridge U.
)

- Nucl.Phys.B 165 (1980) 237-268
•
DOI:
- 10.1016/0550-3213(80)90086-3

Mass singularities of Feynman amplitudes

T. Kinoshita

- J.Math.Phys. 3 (1962) 650-677
•
DOI:
- 10.1063/1.1724268

Degenerate Systems and Mass Singularities

T.D. Lee
(
- Columbia U.
)
,
M. Nauenberg
(
- Columbia U.
)

- Phys.Rev. 133 (1964) B1549-B1562,
- In *Lee, T.D.: Selected papers, vol. 2*, 25-38
•
DOI:
- 10.1103/PhysRev.133.B1549

Nonleading Contributions to the Asymptotic Behavior of the Quark Form-Factor

Enrico C. Poggio
(
- Brandeis U. and
- Harvard U.
)
,
Gregory Pollak
(
- Harvard U.
)

- Phys.Lett.B 71 (1977) 135-138
•
DOI:
- 10.1016/0370-2693(77)90760-2

The infrared divergence phenomena and high-energy processes

D.R. Yennie
(
- Minnesota U.
)
,
Steven C. Frautschi
(
- UC, Berkeley
)
,
H. Suura
(
- Nihon U., Tokyo
)

- Annals Phys. 13 (1961) 379-452
•
DOI:
- 10.1016/0003-4916(61)90151-8

Determination of Large {QCD} Corrections Near the Boundary of Phase Space

W.L. van Neerven
(
- Dortmund U.
)

- Phys.Lett.B 147 (1984) 175-180
•
DOI:
- 10.1016/0370-2693(84)90615-4

Infrared Structure of Form-Factors in Quantum Electrodynamics and their Behavior at Large Momentum Transfer

Chris P. Korthals Altes
(
- Provence U. and
- Marseille, CPT
)
,
Eduardo de Rafael
(
- Marseille, CPT
)

- Nucl.Phys.B 106 (1976) 237-268
•
DOI:
- 10.1016/0550-3213(76)90380-1

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