Precision corrections to supersymmetric unification

We compute the full set of weak-scale gauge and Yukawa threshold corrections in the minimal supersymmetric standard model, including all finite (non-logarithmic) corrections, which we show to be important. We use our results to examine the effects of unification-scale threshold corrections in the minimal and missing-doublet SU(5) models. We work in the context of a unified mass spectrum, with scalar mass M_0 and gaugino mass M_1/2, and find that in minimal SU(5) with squark masses less than one TeV, successful gauge and Yukawa coupling unification requires M_1/2 << M_0 and M_0 \simeq 1 TeV. In contrast, we find that the missing-doublet model permits gauge and Yukawa unification for a wide range of supersymmetric masses.

Note:

11 pages, 6 figures included, uses epsf.tex

electroweak interaction
supersymmetry
coupling: gauge
gauge: coupling
coupling: Yukawa
Yukawa: coupling
threshold: correction
grand unified theory: SU(5)
sparticle: mass
mass: sparticle

References(22)

Figures(6)

Hierarchy of Interactions in Unified Gauge Theories

- Phys.Rev.Lett. 33 (1974) 451-454
•
DOI:
- 10.1103/PhysRevLett.33.451

Supersymmetry and the Scale of Unification

S. Dimopoulos
(
- Stanford U., ITP and
- Santa Barbara, KITP and
- Michigan U.
)
,
S. Raby
(
- Stanford U., ITP and
- SLAC
)
,
Frank Wilczek
(
- Santa Barbara, KITP
)

- Phys.Rev.D 24 (1981) 1681-1683,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 1*, 730-732
•
DOI:
- 10.1103/PhysRevD.24.1681

Low-Energy Predictions in Supersymmetric Grand Unified Theories

Luis E. Ibanez
(
- Oxford U.
)
,
Graham G. Ross
(
- Oxford U.
)

- Phys.Lett.B 105 (1981) 439-442
•
DOI:
- 10.1016/0370-2693(81)91200-4

A Comprehensive Analysis of Data Pertaining to the Weak Neutral Current and the Intermediate Vector Boson Masses

Ugo Amaldi
(
- CERN
)
,
Albrecht Bohm
(
- Aachen, Tech. Hochsch.
)
,
L.S. Durkin
(
- Ohio State U.
)
,
Paul Langacker
(
- Pennsylvania U.
)
,
Alfred K. Mann
(
- Pennsylvania U.
)

et al.

- Phys.Rev.D 36 (1987) 1385
•
DOI:
- 10.1103/PhysRevD.36.1385

Precision LEP data, supersymmetric GUTs and string unification

John R. Ellis
(
- CERN
)
,
S. Kelley
(
- Maharishi U. of Management
)
,
Dimitri V. Nanopoulos
(
- Texas A-M and
- HARC, Woodlands
)

- Phys.Lett.B 249 (1990) 441-448
•
DOI:
- 10.1016/0370-2693(90)91013-2

Probing the desert using gauge coupling unification

John R. Ellis
(
- CERN
)
,
S. Kelley
(
- Texas A-M and
- HARC, Woodlands
)
,
Dimitri V. Nanopoulos
(
- Texas A-M and
- HARC, Woodlands
)

- Phys.Lett.B 260 (1991) 131-137
•
DOI:
- 10.1016/0370-2693(91)90980-5

Implications of precision electroweak experiments for $M_t$ , $\rho_{0}$ , $\sin^2\theta_W$ and grand unification

Paul Langacker
(
- Pennsylvania U.
)
,
Ming-xing Luo
(
- Pennsylvania U.
)

- Phys.Rev.D 44 (1991) 817-822
•
DOI:
- 10.1103/PhysRevD.44.817

Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP

Ugo Amaldi
(
- CERN
)
,
Wim de Boer
(
- Karlsruhe U., EKP
)
,
Hermann Furstenau
(
- Karlsruhe U., EKP
)

- Phys.Lett.B 260 (1991) 447-455
•
DOI:
- 10.1016/0370-2693(91)91641-8

The Effective experimental constraints on M (susy) and M (gut)

F. Anselmo
(
- CERN
)
,
L. Cifarelli
(
- CERN and
- Naples U. and
- INFN, Bologna
)
,
A. Peterman
(
- CERN and
- World Lab, Lausanne and
- Marseille, CPT
)
,
A. Zichichi
(
- CERN
)

- Nuovo Cim.A 104 (1991) 1817-1834,
- Nuovo Cim. 104A (1991) 1817-1834 and CERN Geneva - CERN-PPE-91-123 (91/07,rec.Nov.) 32 p,
- In *Ferrara, S. (ed.), Moessbauer, R.M. (ed.): Searching the superworld* 27-46,
- (World Scientific series in 20th century physics. 39)
•
DOI:
- 10.1007/BF02812496

Relations Between the On-shell and Ms Frameworks and the M ( $W$ ) - M ( $Z$ ) Interdependence

- Nucl.Phys.B 351 (1991) 49-69
•
DOI:
- 10.1016/0550-3213(91)90081-8

Incorporation of QCD effects in basic corrections of the electroweak theory

- Phys.Rev.D 48 (1993) 307-331
•
e-Print:
- hep-ph/9212285
•
DOI:
- 10.1103/PhysRevD.48.307

Two loop renormalization group equations for soft SUSY breaking scalar interactions: Supergraph method

Youichi Yamada
(
- KEK, Tsukuba and
- Tokyo U.
)

- Phys.Rev.D 50 (1994) 3537-3545
•
e-Print:
- hep-ph/9401241
•
DOI:
- 10.1103/PhysRevD.50.3537

Review of particle properties. Particle Data Group

et al.

- Phys.Rev.D 50 (1994) 1173-1823
•
DOI:
- 10.1103/PhysRevD.50.1173

Softly Broken Supersymmetry and SU(5)

Savas Dimopoulos
(
- Stanford U., ITP and
- Santa Barbara, KITP and
- Michigan U.
)
,
Howard Georgi
(
- Harvard U.
)

- Nucl.Phys.B 193 (1981) 150-162
•
DOI:
- 10.1016/0550-3213(81)90522-8

Naturalness in Supersymmetric Guts

N. Sakai
(
- Tohoku U.
)

- Z.Phys.C 11 (1981) 153,
- Z. Phys. C11 ( 1981) 153-157 and Sendai Tohoku Univ. - TU-81-225 (81,REC.JUL.) 18p
•
DOI:
- 10.1007/BF01573998

The Weak Mixing Angle and Unification Mass in Supersymmetric SU(5)

M.B. Einhorn
(
- Michigan U.
)
,
D.R.T. Jones
(
- Michigan U.
)

- Nucl.Phys.B 196 (1982) 475-488
•
DOI:
- 10.1016/0550-3213(82)90502-8

Simple Treatment of Threshold Effects

Ignatios Antoniadis
(
- Ecole Polytechnique
)
,
C. Kounnas
(
- CERN
)
,
K. Tamvakis
(
- CERN
)

- Phys.Lett.B 119 (1982) 377-380
•
DOI:
- 10.1016/0370-2693(82)90693-1

Uncertainties in coupling constant unification

Paul Langacker
(
- Pennsylvania U.
)
,
Nir Polonsky
(
- Pennsylvania U.
)

- Phys.Rev.D 47 (1993) 4028-4045
•
e-Print:
- hep-ph/9210235
•
DOI:
- 10.1103/PhysRevD.47.4028

Nucleon decay in the minimal supersymmetric SU(5) grand unification

- Nucl.Phys.B 402 (1993) 46-84
•
e-Print:
- hep-ph/9207279
•
DOI:
- 10.1016/0550-3213(93)90636-4

Naturally Massless Higgs Doublets in Supersymmetric SU(5)

A. Masiero
(
- Munich, Max Planck Inst.
)
,
Dimitri V. Nanopoulos
(
- CERN
)
,
K. Tamvakis
(
- CERN
)
,
T. Yanagida
(
- Munich, Max Planck Inst.
)

- Phys.Lett.B 115 (1982) 380-384
•
DOI:
- 10.1016/0370-2693(82)90522-6

A Supersymmetric SU(5) Gauge Theory with No Gauge Hierarchy Problem

Benjamin Grinstein
(
- Harvard U.
)

- Nucl.Phys.B 206 (1982) 387,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 796-805. (NUCL. PHYS. B206 (1982) 387-396) AND HARVARD UNIV. CAMBRIDGE - HUTP-82-A014 (82,REC.AUG.) 17 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(82)90275-9

SUSY and GUT threshold effects in SUSY SU(5) models

Youichi Yamada
(
- Tokyo U.
)

- Z.Phys.C 60 (1993) 83-94
•
DOI:
- 10.1007/BF01650433