Abstract

An analysis of soft breaking under the constraint of modular invariance is given. The role of dilaton and moduli dependent front factors in achieving a modular invariant Vsoft is emphasized. Further, it is shown that in string models tan⁡β is no longer a free parameter but is determined in terms of αstring and the other soft parameters by the constraints of modular invariance and radiative electroweak symmetry breaking. The above framework is then used to analyze the neutralino relic density consistent with the Wilkinson Microwave Anisotropy Probe (WMAP) data at self-dual points in the Kähler and complex structure moduli. One finds that the combined set of constraints arising from modular invariant soft breaking, radiative electroweak symmetry breaking, and WMAP lead to upper limits on sparticle masses for μ>0. These limits are investigated for a class of models and found to lie within reach of the Tevatron and the Large Hadron Collider. Further, an analysis of the neutralino-proton cross section shows that dark matter in these models can be explored in CDMS (Soudan), GENIUS, and ZEPLIN. While the analysis is carried out within the general framework of heterotic strings, the possibility that the results of the analysis may extend to a broader class of string models, such as models based on intersecting D branes, is also discussed.

Notes

Originally published in Physical Review D v.70 (2004): 096009. DOI: 10.1103/PhysRevD.70.096009

Keywords

WMAP, sparticle mass limits, modular invariant soft breaking

Subject Categories

Dark matter (Astronomy), Broken symmetry (Physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

11-18-2004

Rights Information

Copyright (2004) American Physical Society

Rights Holder

American Physical Society


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