QED vertex form-factors at two loops

Bonciani, R.; Mastrolia, P.; Remiddi, E.

doi:10.1016/j.nuclphysb.2003.10.031

QED vertex form-factors at two loops

R. Bonciani
(
- Freiburg U.
)
,
P. Mastrolia
(
- Bologna U. and
- Karlsruhe U., TTP
)
,
E. Remiddi
(
- Bologna U. and
- INFN, Bologna
)

Jul, 2003

52 pages

Published in:

Nucl.Phys.B 676 (2004) 399-452

e-Print:

hep-ph/0307295 [hep-ph]

DOI:

10.1016/j.nuclphysb.2003.10.031

Report number:

FREIBURG-THEP-03-11,
TTP03-20

View in:

ADS Abstract Service

pdf

reference search89 citations

Citations per year

Abstract:

We present the closed analytic expression of the form factors of the two-loop QED vertex amplitude for on-shell electrons of finite mass

m

and arbitrary momentum transfer

S=-Q^2

. The calculation is carried out within the continuous

D

-dimensional regularization scheme, with a single continuous parameter

D

, the dimension of the space-time, which regularizes at the same time UltraViolet (UV) and InfraRed (IR) divergences. The results are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4.

Note:

53 pages, 3 figures

11.15.Bt
12.20.Ds
Feynman diagrams
Multi-loop calculations
Vertex diagrams
QED form factors
quantum electrodynamics
vertex function
form factor
electron: on-shell

References(23)

Figures(0)

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

Electron form factors up to fourth order. 2.

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

- Nuovo Cim.A 11 (1972) 865-916
•
DOI:
- 10.1007/BF02728546

- Nova Acta Leopoldina 90 123

- Bit 10 38

Two loop form-factors in QED

P. Mastrolia
(
- Bologna U. and
- Karlsruhe U., TTP
)
,
E. Remiddi
(
- Bologna U. and
- INFN, Bologna
)

- Nucl.Phys.B 664 (2003) 341-356
•
e-Print:
- hep-ph/0302162
•
DOI:
- 10.1016/S0550-3213(03)00405-X

Harmonic polylogarithms

E. Remiddi
(
- Karlsruhe U., TTP and
- Bologna U. and
- INFN, Bologna
)
,
J.A.M. Vermaseren
(
- NIKHEF, Amsterdam
)

- Int.J.Mod.Phys.A 15 (2000) 725-754
•
e-Print:
- hep-ph/9905237
•
DOI:
- 10.1142/S0217751X00000367

Numerical evaluation of harmonic polylogarithms

T. Gehrmann
(
- CERN
)
,
E. Remiddi
(
- Bologna U. and
- INFN, Bologna
)

- Comput.Phys.Commun. 141 (2001) 296-312
•
e-Print:
- hep-ph/0107173
•
DOI:
- 10.1016/S0010-4655(01)00411-8

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

Lowest order divergent graphs in nu-dimensional space

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

- Phys.Lett.B 40 (1972) 566-568
•
DOI:
- 10.1016/0370-2693(72)90483-2

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

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