The Bottom mass prediction in supersymmetric grand unification: Uncertainties and constraints

Langacker, Paul; Polonsky, Nir

doi:10.1103/PhysRevD.49.1454

The Bottom mass prediction in supersymmetric grand unification: Uncertainties and constraints

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

May, 1993

24 pages

Published in:

Phys.Rev.D 49 (1994) 1454-1467

e-Print:

hep-ph/9306205 [hep-ph]

DOI:

10.1103/PhysRevD.49.1454

Report number:

UPR-0556-T

View in:

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Abstract:

Grand unified theories often predict unification of Yukawa couplings (e.g.,

h_{b} = h_{\tau}

), and thus certain relations among fermion masses. The latter can distinguish these from models that predict only coupling constant unification. The implications of Yukawa couplings of the heavy-family in the supersymmetric extension of the standard model (when embedded in a GUT) are discussed. In particular, uncertainties associated with

m_{t}

and

m_{b}

, threshold corrections at the low-scale, and threshold and nonrenormalizable-operator corrections associated with a grand-unified sector at the high-scale are parametrized and estimated. The implication of these and of the correlation between

m_{t}

and the prediction for

\alpha_{s}

are discussed. Constraints on the

\tan\beta

range in such models and an upper bound on the

t

-quark pole mass are given and are shown to be affected by the

\alpha_{s}-m_{t}

correlation. Constraints on the low-scale thresholds are found to be weakened by uncertainties associated with the high-scale.

grand unified theory: SU(5)
supersymmetry
coupling: Yukawa
Yukawa: coupling
coupling constant: strong interaction
strong interaction: coupling constant
bottom
top
mass: bottom
bottom: mass

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