Two loop large top mass corrections to electroweak parameters: Analytic results valid for arbitrary Higgs mass

Fleischer, J.; Tarasov, O.V.; Jegerlehner, F.

doi:10.1103/PhysRevD.51.3820

Two loop large top mass corrections to electroweak parameters: Analytic results valid for arbitrary Higgs mass

J. Fleischer
(
- Bielefeld U.
)
,
O.V. Tarasov
(
- Bielefeld U. and
- PSI, Villigen
)
,
F. Jegerlehner
(
- PSI, Villigen
)

Aug, 1994

35 pages

Published in:

Phys.Rev.D 51 (1995) 3820-3837

DOI:

10.1103/PhysRevD.51.3820

Report number:

PSI-PR-94-26

View in:

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Abstract: (APS)

We present analytic results for the two-loop leading heavy top-quark contributions as required for precise predictions of electroweak observables. The Higgs boson mass is kept arbitrary. We discuss a set of recurrence relations for diagrams with three masses at zero momentum, which allow one to reduce the calculation to a few master integrals. Simple analytic expressions are obtained for the ρ parameter and for the Zbb¯ vertex. Results are pesented for the on-shell and the MS¯ definition of the top quark mass. We explicitly discuss and verify the validity of Ward-Takahashi identities and check that the use of an anticommuting γ5 preserves the latter.

electroweak interaction: rho parameter
rho parameter: electroweak interaction
mass: top
top: mass
correction: higher-order
Higgs particle: mass
mass: Higgs particle
vertex function: (Z0 quark antiquark)
bottom
Ward-Takahashi identity

References(27)

Figures(0)

Electroweak parameters of the $Z^0$ resonance and the Standard Model: the LEP Collaborations

LEP and
ALEPH and
DELPHI and
L3 and
OPAL

Collaborations

•

G. Alexander

et al.

- Phys.Lett.B 276 (1992) 247-253
•
DOI:
- 10.1016/0370-2693(92)90572-L

Precise measurement of the left-right cross-section asymmetry in Z boson production by e+ e- collisions

SLD

Collaboration

•

K. Abe

et al.

- Phys.Rev.Lett. 73 (1994) 25-29
•
e-Print:
- hep-ex/9404001
•
DOI:
- 10.1103/PhysRevLett.73.25

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

Electroweak One Loop Corrections to the Decay of the Neutral Vector Boson

- Nucl.Phys.B 276 (1986) 1-13
•
DOI:
- 10.1016/0550-3213(86)90014-3

The Width of the Z Boson

Wim Beenakker
(
- Leiden U.
)
,
Wolfgang Hollik
(
- Hamburg U.
)

- Z.Phys.C 40 (1988) 141
•
DOI:
- 10.1007/BF01559728

Gamma (Z ---> B anti-B): A Signature of Hard Mass Terms for a Heavy Top

- Phys.Lett.B 200 (1988) 569-574
•
DOI:
- 10.1016/0370-2693(88)90173-6

Two Loop Correction to Weak Interaction Parameters Due to a Heavy Fermion Doublet

J.J. van der Bij
(
- Fermilab
)
,
F. Hoogeveen
(
- Amsterdam U.
)

- Nucl.Phys.B 283 (1987) 477-492
•
DOI:
- 10.1016/0550-3213(87)90284-7

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

O(G-mu(2) m-t(4)) Electroweak radiative corrections to the Z b anti-b vertex

Ansgar Denner
(
- CERN
)
,
W. Hollik
(
- Bielefeld U. and
- Munich, Max Planck Inst.
)
,
B. Lampe
(
- Munich, Max Planck Inst.
)

- Z.Phys.C 60 (1993) 193-198
•
e-Print:
- hep-ph/9305273
•
DOI:
- 10.1007/BF01650447

Two loop heavy top corrections to the rho parameter: A Simple formula valid for arbitrary Higgs mass

- Phys.Lett.B 319 (1993) 249-256
•
DOI:
- 10.1016/0370-2693(93)90810-5

The Effect of the Top Quark on the M(W)-M(Z) Interdependence and Possible Decoupling of Heavy Fermions from Low-Energy Physics

- Phys.Lett.B 227 (1989) 167-170
•
DOI:
- 10.1016/0370-2693(89)91301-4

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

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 theorem on analytical calculability of 4-loop renormalization group functions

F.V. Tkachov
(
- Moscow, INR
)

- Phys.Lett.B 100 (1981) 65-68
•
DOI:
- 10.1016/0370-2693(81)90288-4

Integration by parts: The algorithm to calculate $\beta$ -functions in 4 loops

K.G. Chetyrkin
(
- Moscow, INR
)
,
F.V. Tkachov
(
- Moscow, INR
)

- Nucl.Phys.B 192 (1981) 159-204,
- Nucl. Phys. B192 ( 1981) 159-204
•
DOI:
- 10.1016/0550-3213(81)90199-1

The Influence of a Heavy Fermion Doublet on Higgs Boson Production via the Gluon Fusion Mechanism

F. Hoogeveen
(
- Amsterdam U.
)

- Nucl.Phys.B 259 (1985) 19-32
•
DOI:
- 10.1016/0550-3213(85)90295-0

Two loop selfenergy diagrams with different masses and the momentum expansion

Andrei I. Davydychev
(
- Leiden U.
)
,
J.B. Tausk
(
- Leiden U.
)

- Nucl.Phys.B 397 (1993) 123-142
•
DOI:
- 10.1016/0550-3213(93)90338-P

SHELL2: Package for the calculation of two loop on-shell Feynman diagrams in FORM

J. Fleischer
(
- Bielefeld U.
)
,
O.V. Tarasov
(
- Bielefeld U.
)

- Comput.Phys.Commun. 71 (1992) 193-205,
- Comput. Phys. Commun. 71 (1992) 193-205 and Bielefeld Univ. - BI-TP-91-42 (91/12,rec.Jan.92) 15 p
•
DOI:
- 10.1016/0010-4655(92)90083-B

Derivation of Gauge Invariance from High-Energy Unitarity Bounds on the s Matrix

- Phys.Rev.D 10 (1974) 1145,
- Phys.Rev.D 11 (1975) 972 (erratum)
•
DOI:
- 10.1103/PhysRevD.10.1145

The TeV Physics of Strongly Interacting W's and Z's

Michael S. Chanowitz
(
- LBL, Berkeley
)
,
Mary K. Gaillard
(
- LBL, Berkeley and
- UC, Berkeley
)

- Nucl.Phys.B 261 (1985) 379-431
•
DOI:
- 10.1016/0550-3213(85)90580-2

Equivalence Theorem Redux

Jonathan Bagger
(
- Harvard U.
)
,
Carl Schmidt
(
- Harvard U.
)

- Phys.Rev.D 41 (1990) 264
•
DOI:
- 10.1103/PhysRevD.41.264

The Equivalence Theorem

Helene G.J. Veltman
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 41 (1990) 2294
•
DOI:
- 10.1103/PhysRevD.41.2294

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