Regularization dependence of running couplings in softly broken supersymmetry

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not. We find expressions for the differences between running couplings in the modified minimal subtraction schemes of these two regularization methods, to one loop order. We also find the two-loop renormalization group equations for gaugino masses in both schemes, and discuss the application of these results to the Minimal Supersymmetric Standard Model.

gauge field theory: Yang-Mills
supersymmetry: symmetry breaking
mass
coupling constant
renormalization group
regularization
perturbation theory: higher-order

References(25)

Figures(0)

Supersymmetry, Supergravity and Particle Physics

Hans Peter Nilles
(
- Geneva U. and
- CERN
)

- Phys.Rept. 110 (1984) 1-162
•
DOI:
- 10.1016/0370-1573(84)90008-5

The Search for Supersymmetry: Probing Physics Beyond the Standard Model

Howard E. Haber
(
- UC, Santa Cruz and
- SLAC
)
,
Gordon L. Kane
(
- Michigan U.
)

- Phys.Rept. 117 (1985) 75-263
•
DOI:
- 10.1016/0370-1573(85)90051-1

Locally Supersymmetric Grand Unification

Ali H. Chamseddine
(
- Northeastern U.
)
,
Richard L. Arnowitt
(
- Northeastern U.
)
,
Pran Nath
(
- Northeastern U.
)

- Phys.Rev.Lett. 49 (1982) 970,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 2*, 1033-1037. (PHYS. REV. LETT. 49 (1982) 970-974)
•
DOI:
- 10.1103/PhysRevLett.49.970

Dynamically Broken Supergravity and the Hierarchy Problem

Hans Peter Nilles
(
- CERN
)

- Phys.Lett.B 115 (1982) 193,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 2*, 1029-1032. (PHYS. LETT. B115 (1982) 193-196) AND CERN GENEVA - TH. 3294 (82,REC.JUL.) 7 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(82)90642-6

Locally Supersymmetric SU(5) Grand Unification

Luis E. Ibanez
(
- CERN
)

- Phys.Lett.B 118 (1982) 73-78
•
DOI:
- 10.1016/0370-2693(82)90604-9

Gauge Models with Spontaneously Broken Local Supersymmetry

Riccardo Barbieri
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
S. Ferrara
(
- CERN
)
,
Carlos A. Savoy
(
- Geneva U.
)

- Phys.Lett.B 119 (1982) 343,
- Phys. Lett. B119 (1982) 343-347 and CERN Geneva - TH. 3365 (82,REC.AUG.) 10p,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 2*, 1038-1042. (PHYS. LETT. B119 (1982) 343-347) AND CERN GENEVA - TH. 3365 (82,REC.AUG.) 10 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(82)90685-2

Supergravity as the Messenger of Supersymmetry Breaking

- Phys.Rev.D 27 (1983) 2359-2378,
- Texas Univ. Austin - UTTG-83-01 (83,REC.MAR.) 52p,
- Phys. Rev. D27 ( 1983) 2359-2378 and Texas Univ. Austin - UTTG-83-01 (83,REC.MAR.) 52p
•
DOI:
- 10.1103/PhysRevD.27.2359

Gauge Hierarchy in Supergravity Guts

Pran Nath
(
- Northeastern U.
)
,
Richard L. Arnowitt
(
- Harvard U.
)
,
Ali H. Chamseddine
(
- Northeastern U.
)

- Nucl.Phys.B 227 (1983) 121-133
•
DOI:
- 10.1016/0550-3213(83)90145-1

Minimal supersymmetric unification predictions

Graham G. Ross
(
- Oxford U.
)
,
R.G. Roberts
(
- Rutherford
)

- Nucl.Phys.B 377 (1992) 571-592
•
DOI:
- 10.1016/0550-3213(92)90302-R

SUSY mass spectrum in SU(5) supergravity grand unification

Richard L. Arnowitt
(
- Texas A-M
)
,
Pran Nath
(
- Northeastern U.
)

- Phys.Rev.Lett. 69 (1992) 725-728
•
DOI:
- 10.1103/PhysRevLett.69.725

Loop corrections to radiative breaking of electroweak symmetry in supersymmetry

Richard L. Arnowitt
(
- Texas A-M
)
,
Pran Nath
(
- Northeastern U.
)

- Phys.Rev.D 46 (1992) 3981-3986
•
DOI:
- 10.1103/PhysRevD.46.3981

Top quark mass and Higgs mass limits in the standard SU(5) supergravity unification

Pran Nath
(
- Northeastern U.
)
,
Richard L. Arnowitt
(
- Texas A-M
)

- Phys.Lett.B 289 (1992) 368-372
•
DOI:
- 10.1016/0370-2693(92)91233-Y

Radiative breaking, proton stability and the viability of no scale supergravity models

Pran Nath
(
- Northeastern U.
)
,
Richard L. Arnowitt
(
- Texas A-M
)

- Phys.Lett.B 287 (1992) 89-94
•
DOI:
- 10.1016/0370-2693(92)91881-9

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

Supersymmetric Dimensional Regularization via Dimensional Reduction

Warren Siegel
(
- Harvard U.
)

- Phys.Lett.B 84 (1979) 193-196
•
DOI:
- 10.1016/0370-2693(79)90282-X

Regularization by Dimensional Reduction of Supersymmetric and Nonsupersymmetric Gauge Theories

D.M. Capper
(
- Queen Mary, U. of London
)
,
D.R.T. Jones
(
- Rutherford
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 167 (1980) 479-499
•
DOI:
- 10.1016/0550-3213(80)90244-8

Deep Inelastic Scattering Beyond the Leading Order in Asymptotically Free Gauge Theories

- Phys.Rev.D 18 (1978) 3998
•
DOI:
- 10.1103/PhysRevD.18.3998

Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization

- Nucl.Phys.B 222 (1983) 83-103
•
DOI:
- 10.1016/0550-3213(83)90610-7

Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings

- Nucl.Phys.B 236 (1984) 221-232
•
DOI:
- 10.1016/0550-3213(84)90533-9

Two Loop Beta Functions for Supersymmetric Gauge Theories

Ian Jack
(
- Imperial Coll., London
)

- Phys.Lett.B 147 (1984) 405-408
•
DOI:
- 10.1016/0370-2693(84)91392-3

General Background Field Calculations With Fermion Fields

I. Jack
(
- Imperial Coll., London and
- Cambridge U.
)
,
H. Osborn
(
- Cambridge U.
)

- Nucl.Phys.B 249 (1985) 472-506
•
DOI:
- 10.1016/0550-3213(85)90088-4

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

Use of Four-dimensional Spin Methods in the Calculation of Radiative {QCD} Corrections

Gerhard A. Schuler
(
- DESY
)
,
Susumu Sakakibara
(
- Iwaki Meisei U.
)
,
Jurgen G. Korner
(
- Mainz U., Inst. Phys. and
- DESY
)

- Phys.Lett.B 194 (1987) 125-131
•
DOI:
- 10.1016/0370-2693(87)90781-7

Asymptotic Behavior of Supersymmetric Yang-Mills Theories in the Two Loop Approximation

D.R.T. Jones
(
- Sussex U.
)

- Nucl.Phys.B 87 (1975) 127,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 323-328. (NUCL. PHYS. B87 (1975) 127-132) AND PREPRINT - JONES, D.R.T. (REC.JAN.75) 10 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(75)90256-4

The Beta Function in Supersymmetric {Yang-Mills} Theory

D.R.T. Jones
(
- Colorado U.
)
,
L. Mezincescu
(
- Texas U.
)

- Phys.Lett.B 136 (1984) 242-244
•
DOI:
- 10.1016/0370-2693(84)91154-7