G2-MSSM:: An M theory motivated model of particle physics

We continue our study of the low energy implications of M theory vacua on G(2)-manifolds, undertaken in B. S. Acharya, K. Bobkov, G. L. Kane, P. Kumar, and J. Shao, Phys. Rev. D 76, 126010 (2007); B. Acharya, K. Bobkov, G. Kane, P. Kumar, and D. Vaman, Phys. Rev. Lett. 97, 191601 (2006), where it was shown that the moduli can be stabilized and a TeV scale generated, with the Planck scale as the only dimensionful input. A well-motivated phenomenological model, the G(2)-MSSM, can be naturally defined within the above framework. In this paper, we study some of the important phenomenological features of the G(2)-MSSM. In particular, the soft supersymmetry breaking parameters and the superpartner spectrum are computed. The G(2)-MSSM generically gives rise to light gauginos and heavy scalars with wino lightest supersymmetric particles when one tunes the cosmological constant. Electroweak symmetry breaking is present but fine-tuned. The G(2)-MSSM is also naturally consistent with precision gauge coupling unification. The phenomenological consequences for cosmology and collider physics of the G(2)-MSSM will be reported in more detail soon.