Three loop leading top mass contributions to the rho parameter

We present analytical results for the leading contributions of the top quark to the electroweak rho parameter at order GF^3 Mt^6 and GF^2 Mt^4 alpha_s. The Higgs boson and the gauge bosons are taken to be massless in this limit. The correction of order GF^3 Mt^6 is found to be sizeable in comparison to the the leading two-loop GF^2 Mt^4 correction, however it is much smaller than the subleading GF^2 Mt^2 MZ^2 correction.

Note:

10 pages, 2 figures, Latex. v2: two minor corrections in the references. Accepted for publication in Phys. lett. B. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/ Report-no: Freiburg-THEP 00/16, TTP 00--26

top
mass: top
electroweak interaction: rho parameter
correction: higher-order
renormalization
quantum chromodynamics: perturbation theory
Feynman graph
numerical calculations

References(28)

Figures(0)

Second Threshold in Weak Interactions

M.J.G. Veltman
(
- Utrecht U. and
- Munich, Max Planck Inst.
)

- Acta Phys.Polon.B 8 (1977) 475-492,
- Acta Phys.Polon.B 52 (2021) 6-7, 481-498 (reprint)

Two Loop Large Higgs Mass Correction to the rho Parameter

J. van der Bij
(
- Michigan U.
)
,
M.J.G. Veltman
(
- Michigan U.
)

- Nucl.Phys.B 231 (1984) 205-234
•
DOI:
- 10.1016/0550-3213(84)90284-0

TWO LOOP LARGE HIGGS MASS CORRECTION TO VECTOR BOSON MASSES

J.J. van der Bij
(
- NIKHEF, Amsterdam
)

- Nucl.Phys.B 248 (1984) 141-156
•
DOI:
- 10.1016/0550-3213(84)90591-1

TWO LOOP LARGE HIGGS MASS CORRECTIONS TO VECTOR BOSON SELFCOUPLINGS

J.J. van der Bij
(
- NIKHEF, Amsterdam
)

- Nucl.Phys.B 255 (1985) 648-658
•
DOI:
- 10.1016/0550-3213(85)90158-0

Interplay between perturbative and nonperturbative effects in the stealthy Higgs model

R. Akhoury
(
- Michigan U.
)
,
J.J. van der Bij
(
- Michigan U. and
- Freiburg U.
)
,
H. Wang
(
- Michigan U.
)

- Eur.Phys.J.C 20 (2001) 497-505
•
e-Print:
- hep-ph/0010187
•
DOI:
- 10.1007/s100520100680

Two loop large Higgs mass corrections to electroweak gauge boson quartic couplings

V. Borodulin
(
- Serpukhov, IHEP
)
,
G. Jikia
(
- Freiburg U.
)

- Nucl.Phys.B 520 (1998) 31-50
•
e-Print:
- hep-ph/9712419
•
DOI:
- 10.1016/S0550-3213(98)00200-4

Two loop large Higgs mass contribution to vector boson anomalous quartic couplings

G. Jikia
(
- Freiburg U.
)

- Acta Phys.Polon.B 29 (1998) 2719-2725
•
e-Print:
- hep-ph/9807259

Massive two loop diagrams: The Higgs propagator

A. Ghinculov
(
- Freiburg U.
)
,
J.J. van der Bij
(
- Freiburg U.
)

- Nucl.Phys.B 436 (1995) 30-48
•
e-Print:
- hep-ph/9405418
•
DOI:
- 10.1016/0550-3213(94)00522-G

Limit on Mass Differences in the Weinberg Model

M.J.G. Veltman
(
- Utrecht U.
)

- Nucl.Phys.B 123 (1977) 89-99
•
DOI:
- 10.1016/0550-3213(77)90342-X

Heavy Higgs Bosons in the Weinberg-Salam Model

Anthony C. Longhitano
(
- Yale U.
)

- Phys.Rev.D 22 (1980) 1166
•
DOI:
- 10.1103/PhysRevD.22.1166

Two loop electroweak top corrections: Are they under control?

G. Degrassi
(
- Padua U. and
- INFN, Padua
)
,
S. Fanchiotti
(
- CERN
)
,
F. Feruglio
(
- Padua U. and
- INFN, Padua
)
,
P. Gambino
(
- New York U.
)
,
A. Vicini
(
- Padua U. and
- INFN, Padua
)

- Phys.Lett.B 350 (1995) 75-84,
- Phys. Lett. B350 (1995) 75-84, and Padua U. - DFPD-TH-94-60 (94,rec.Jan.95) 14 p. New York U. - NYU-TH-94-11-03 (94,rec.Jan.95) 14 p
•
e-Print:
- hep-ph/9412380
•
DOI:
- 10.1016/0370-2693(95)00268-P

Two loop heavy top effects on the m(Z) - m(W) interdependence

G. Degrassi
(
- Padua U. and
- INFN, Padua
)
,
P. Gambino
(
- Munich, Max Planck Inst.
)
,
A. Vicini
(
- Padua U. and
- INFN, Padua
)

- Phys.Lett.B 383 (1996) 219-226
•
e-Print:
- hep-ph/9603374
•
DOI:
- 10.1016/0370-2693(96)00720-4

Radiative correction effects of a very heavy top

Riccardo Barbieri
(
- Pisa U. and
- INFN, Pisa
)
,
Matteo Beccaria
(
- Pisa U. and
- INFN, Pisa
)
,
Paolo Ciafaloni
(
- Pisa U. and
- INFN, Pisa
)
,
Giuseppe Curci
(
- INFN, Pisa and
- Pisa U.
)
,
Andrea Vicere
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- Phys.Lett.B 288 (1992) 95-98,
- Phys.Lett.B 312 (1993) 511-511 (erratum)
•
e-Print:
- hep-ph/9205238
•
DOI:
- 10.1016/0370-2693(92)91960-H

Radiative correction effects of a very heavy top

Riccardo Barbieri
(
- Pisa U. and
- INFN, Pisa
)
,
Matteo Beccaria
(
- Pisa U. and
- INFN, Pisa
)
,
Paolo Ciafaloni
(
- Pisa U. and
- INFN, Pisa
)
,
Giuseppe Curci
(
- INFN, Pisa and
- Pisa U.
)
,
Andrea Vicere
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- Phys.Lett.B 288 (1992) 95-98,
- Phys.Lett.B 312 (1993) 511-511 (erratum)
•
e-Print:
- hep-ph/9205238
•
DOI:
- 10.1016/0370-2693(92)91960-H

Two loop heavy top effects in the Standard Model

Riccardo Barbieri
(
- Pisa U. and
- INFN, Pisa and
- CERN
)
,
Matteo Beccaria
(
- Pisa U. and
- INFN, Pisa
)
,
Paolo Ciafaloni
(
- Pisa U. and
- INFN, Pisa
)
,
Giuseppe Curci
(
- INFN, Pisa and
- Pisa U.
)
,
Andrea Vicere
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- Nucl.Phys.B 409 (1993) 105-127,
- Nucl. Phys. B409 (1993) 105-127 and CERN Geneva - TH. 6713 (92/11,rec.Jan.93) 23 p
•
DOI:
- 10.1016/0550-3213(93)90448-X