Automatized one loop calculations in four-dimensions and D-dimensions

Two program packages are presented for evaluating one-loop amplitudes. They can work either in dimensional regularization or in constrained differential renormalization. The latter method is found at the one-loop level to be equivalent to regularization by dimensional reduction.

Note:

16 pages, uses amstex and axodraw, 1 eps figure Report-no: UG-FT-87/89, KA-TP-7-1998

gauge field theory: any-dimensional
Feynman graph: higher-order
dimension: 4
regularization: dimensional
renormalization: differential
electroweak interaction
elastic scattering: Z0 Z0
programming
bibliography

References(31)

Figures(0)

FEYN CALC: Computer algebraic calculation of Feynman amplitudes

- Comput.Phys.Commun. 64 (1991) 345-359
•
DOI:
- 10.1016/0010-4655(91)90130-D

XLOOPS: A Package calculating one loop and two loop diagrams

Lars Brucher
(
- Mainz U., Inst. Phys.
)

- Nucl.Instrum.Meth.A 389 (1997) 327-332
•
DOI:
- 10.1016/S0168-9002(97)00119-8

Automatic generation of tree level helicity amplitudes

T. Stelzer
(
- Durham U.
)
,
W.F. Long
(
- Wisconsin U., Madison
)

- Comput.Phys.Commun. 81 (1994) 357-371
•
e-Print:
- hep-ph/9401258
•
DOI:
- 10.1016/0010-4655(94)90084-1

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

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

A Method of Gauge Invariant Regularization

J.F. Ashmore
(
- ICTP, Trieste
)

- Lett.Nuovo Cim. 4 (1972) 289-290,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 265-266
•
DOI:
- 10.1007/BF02824407

Analytic renormalization via continuous space dimension

G.M. Cicuta
(
- Milan U. and
- INFN, Milan
)
,
E. Montaldi
(
- Milan U. and
- INFN, Milan
)

- Lett.Nuovo Cim. 4 (1972) 329-332
•
DOI:
- 10.1007/BF02756527

Dimensional regularization, abnormal amplitudes and anomalies

- Nuovo Cim.A 17 (1973) 578-586
•
DOI:
- 10.1007/BF02786835

Static quantities in Weinberg's model of weak and electromagnetic interactions

- Nucl.Phys.B 46 (1972) 319-331,
- Reprinted in *Einhorn, M.B. (ed.): The standard model Higgs boson* 160-172
•
DOI:
- 10.1016/0550-3213(72)90218-0

Dimensional Renormalization and the Action Principle

- Commun.Math.Phys. 52 (1977) 11-38,
- Commun.Math.Phys.52 (1977) 11-38 and Muenchen Max-planck-inst Phys - MPI-PAE-PTH 25-74 (74,REC.JAN 75) 32p
•
DOI:
- 10.1007/BF01609069

Consistency in Dimensional Regularization With $\gamma_5$

Guy Bonneau
(
- Paris U., VI-VII
)

- Phys.Lett.B 96 (1980) 147-150
•
DOI:
- 10.1016/0370-2693(80)90232-4

The Axial Current in Dimensional Regularization

Michael S. Chanowitz
(
- LBL, Berkeley
)
,
M. Furman
(
- LBL, Berkeley
)
,
I. Hinchliffe
(
- LBL, Berkeley
)

- Nucl.Phys.B 159 (1979) 225-243
•
DOI:
- 10.1016/0550-3213(79)90333-X

GAUGING SU(n/m)

J.G. Taylor
(
- King's Coll. London
)

- Phys.Lett.B 84 (1979) 79-82
•
DOI:
- 10.1016/0370-2693(79)90653-1

Inconsistency of Supersymmetric Dimensional Regularization

W. Siegel
(
- Princeton, Inst. Advanced Study
)

- Phys.Lett.B 94 (1980) 37-40
•
DOI:
- 10.1016/0370-2693(80)90819-9

Constraining differential renormalization in Abelian gauge theories

- Phys.Lett.B 419 (1998) 263-271
•
e-Print:
- hep-th/9709067
•
DOI:
- 10.1016/S0370-2693(97)01279-3

Constrained differential renormalization

- Acta Phys.Polon.B 28 (1997) 2279-2290
•
e-Print:
- hep-ph/9710442

Techniques for one loop calculations in constrained differential renormalization

- Nucl.Phys.B 537 (1999) 561-585
•
e-Print:
- hep-ph/9806451
•
DOI:
- 10.1016/S0550-3213(98)00645-2

Differential regularization and renormalization: A New method of calculation in quantum field theory

Daniel Z. Freedman
(
- MIT and
- MIT, LNS
)
,
Kenneth Johnson
(
- MIT, LNS
)
,
Jose I. Latorre
(
- Barcelona U.
)

- Nucl.Phys.B 371 (1992) 353-414,
- Nucl. Phys. B371 (1992) 353-414 and MIT Cambridge - CTP-1972 (91/05,rec.Jul.) 49 p
•
DOI:
- 10.1016/0550-3213(92)90240-C