The Two-loop vector form-factor in the Sudakov limit

Recently two-loop electroweak corrections to the neutral current four-fermion processes at high energies have been presented. The basic ingredient of this calculation is the evaluation of the two-loop corrections to the Abelian vector form factor in a spontaneously broken SU(2) gauge model. Whereas the final result and the derivation of the four-fermion cross sections from evolution equations have been published earlier, the calculation of the form factor from the two-loop Feynman diagrams is presented for the first time in this paper. We describe in detail the individual contributions to the form factor and their calculation with the help of the expansion by regions method and Mellin-Barnes representations.

four-fermion interaction
neutral current
electroweak interaction: correction
form factor: vector
form factor: Sudakov
abelian
correction: vertex
gauge field theory: SU(2)
spontaneous symmetry breaking
Feynman graph: higher-order

References(98)

Figures(0)

Vertex parts at very high-energies in quantum electrodynamics

V.V. Sudakov

- Sov.Phys.JETP 3 (1956) 65-71,
- Zh.Eksp.Teor.Fiz. 30 (1956) 87-95

Dynamics at high momentum and the vertex function of spinor electrodynamics

R. Jackiw
(
- Harvard U.
)

- Annals Phys. 48 (1968) 292-321
•
DOI:
- 10.1016/0003-4916(68)90087-0

Direct one loop renormalization of SU(2)-L x U(1)-Y four fermion processes and running coupling constants

- Nucl.Phys.B 350 (1991) 25-72
•
DOI:
- 10.1016/0550-3213(91)90252-S

Gauge invariant selfenergies and vertex parts of the Standard Model in the pinch technique framework

Giuseppe Degrassi
(
- New York U.
)
,
Alberto Sirlin
(
- New York U.
)

- Phys.Rev.D 46 (1992) 3104-3116
•
DOI:
- 10.1103/PhysRevD.46.3104

Rising bosonic electroweak virtual effects at high-energy e+ e- colliders

M. Beccaria
(
- Salento U. and
- INFN, Lecce
)
,
G. Montagna
(
- Pavia U. and
- INFN, Pavia
)
,
F. Piccinini
(
- Pavia U. and
- INFN, Pavia
)
,
F.M. Renard
(
- Montpellier U.
)
,
C. Verzegnassi
(
- Salento U. and
- INFN, Lecce
)

- Phys.Rev.D 58 (1998) 093014
•
e-Print:
- hep-ph/9805250
•
DOI:
- 10.1103/PhysRevD.58.093014

Sudakov enhancement of electroweak corrections

P. Ciafaloni
(
- INFN, Lecce
)
,
D. Comelli
(
- INFN, Ferrara
)

- Phys.Lett.B 446 (1999) 278-284
•
e-Print:
- hep-ph/9809321
•
DOI:
- 10.1016/S0370-2693(98)01541-X

Sudakov logarithms in electroweak processes

Johann H. Kuhn
(
- Karlsruhe U., TTP
)
,
A.A. Penin
(
- Hamburg U.
)

e-Print:
- hep-ph/9906545

Resummation of double logarithms in electroweak high-energy processes

Victor S. Fadin
(
- Novosibirsk, IYF
)
,
L.N. Lipatov
(
- St. Petersburg, INP and
- St. Petersburg State U.
)
,
Alan D. Martin
(
- Durham U.
)
,
M. Melles
(
- PSI, Villigen
)

- Phys.Rev.D 61 (2000) 094002
•
e-Print:
- hep-ph/9910338
•
DOI:
- 10.1103/PhysRevD.61.094002

Summing up subleading Sudakov logarithms

Johann H. Kuhn
(
- Karlsruhe U., TTP
)
,
A.A. Penin
(
- Hamburg U.
)
,
Vladimir A. Smirnov
(
- Moscow State U.
)

- Eur.Phys.J.C 17 (2000) 97-105
•
e-Print:
- hep-ph/9912503
•
DOI:
- 10.1007/s100520000462

Subleading Sudakov logarithms in electroweak processes

- Nucl.Phys.B Proc.Suppl. 89 (2000) 94-99,
- In *Zeuthen 2000, Loops and legs in quantum field theory* 94-99
•
e-Print:
- hep-ph/0005301
•
DOI:
- 10.1016/S0920-5632(00)00829-X