Towards a theory of soft terms for the supersymmetric Standard Model

We perform a systematic analysis of the soft supersymmetry-breaking terms arising from four-dimensional strings. The analysis does not assume any specific SUSY-breaking mechanism but provides a means of parametrizing our ignorance in a way consistent with some known properties of four-dimensional strings. We introduce a {\it goldstino angle } parameter

\theta

which says where the source of supersymmetry breaking resides, either predominantly in the dilaton sector (

sin\theta =1

limit) or in the rest of the chiral fields, notably the moduli (

sin\theta =0

limit). All formulae for soft terms take particularly simple forms whwn written in terms of this angle. The

sin\theta =1

limit is (up to small corrections) universal. As

|sin\theta |

decreases, the model dependence increases and the resulting soft terms may or may not be universal, depending on the model. General expressions for the soft terms as functions of

\theta

for generic four-dimensional strings are provided. For each {\it given} string model, one trades the four soft parameters (

M,m,A,B

) of the MSSM by the two parameters

m_{3/2}

and

sin\theta

. The role of complex phases and the associated constraints from limits on the electric dipole moment of the neutron are discussed. It is also emphasized the importance of treating the problem of the cosmological constant in a self-consistent manner. Three prototype string scenarios are discussed and their low-energy implications are studied by impossing appropriate radiative

SU(2)\times U(1)

breaking . The supersymmetric particle spectra present definite patterns which may be experimentally tested at future colliders.

electroweak interaction
supersymmetry: symmetry breaking
string model
compactification: Calabi-Yau
compactification: orbifold
CP: violation
neutral current: flavor changing
cosmological constant
renormalization group
n: electric moment

References(59)

Figures(0)

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