Gravitino Dark Matter in (nearly) SLagy D3/D7 m-Split SUSY

Authors: Mansi Dhuria, Aalok Misra

Abstract:

In the context of large volume Big Divisor (nearly) SLagy D3/D7 μ-Split SUSY [1], after an explicit identification of first generation of SM leptons and quarks with fermionic superpartners of four Wilson line moduli, we discuss the identification of gravitino as a potential dark matter candidate by explicitly calculating the decay life times of gravitino (LSP) to be greater than age of universe and lifetimes of decays of the co-NLSPs (the first generation squark/slepton and a neutralino) to the LSP (the gravitino) to be very small to respect BBN constraints. Interested in non-thermal production mechanism of gravitino, we evaluate the relic abundance of gravitino LSP in terms of that of the co-NLSP-s by evaluating their (co-)annihilation cross sections and hence show that the former satisfies the requirement for a potential Dark Matter candidate. We also show that it is possible to obtain a 125 GeV light Higgs in our setup.

Keywords: Split Supersymmetry, Large Volume Swiss-Cheese Calabi-Yau's, Dark Matter, (N)LSP decays, relic abundance.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335086

References:

[1] Mansi Dhuria, Aalok Misra, arXiv:hep-ph/1207.2774, Nucl. Phys. B867 (2013) 636-748.
[2] Nima Arkani-Hamed, Savas Dimopoulos, JHEP 0506 (2005) 073, arXiv:hep-th/0405159.
[3] B. S. Acharya et al. JHEP 0806:064,2008, arXiv:hep-ph/0804.0863.
[4] Fei Wang, Wenyu Wang, Jin Min Yang, arXiv:hep-ph/0507172.
[5] M. Dhuria and A. Misra, Nucl. Phys. B 855, 439 (2012), arXiv:hepth/ 1106.5359.
[6] A. Strominger, S. -T. Yau and E. Zaslow, , Nucl. Phys. B 479, 243 (1996), arXiv:hep-th/9606040.
[7] K. Becker, M. Becker and A. Strominger, , Nucl. Phys. B 456, 130 (1995), arXiv:hep-th/9507158.
[8] A. Misra, P. Shukla, Nuclear Physics B 827 (2010) 112 arXiv:hepth/ 0906.4517.
[9] H. Jockers, Fortsch. Phys. 53, 1087 (2005), arXiv:hep-th/0507042.
[10] A. Misra and P. Shukla,On -Light- Fermions and Proton Stability in -Big Divisor- D3/D7 Swiss Cheese Phenomenology, Eur. Phys. J. C (2011) 71:1662
[arXiv:hep-th/1007.1157 ].
[11] A. Misra and P. Shukla, Phys. Lett. B 685, 347 (2010), arXiv:hepth/ 0909.0087.
[12] M. Kawasaki, K. Kohri, T. Moroi Phys.Rev. D71 (2005) 083502, arXiv: astro-ph/0408426.
[13] J. Wess and J. Bagger, Princeton, USA: Univ. Pr. (1992) 259 p.
[14] J. Hasenkamp, DESY-THESIS-2009-016.
[15] T. Nihei, L. Roszkowski, R.Ruiz de Austri, JHEP 0203 (2002) 031, arXiv:hep-ph/0202009.
[16] James D. Wells, arXiv:hep-ph/9708285.
[17] N. Jarosik et al Astrophys.J.Suppl. 192 (2011) 14, arXiv:astroph/ 1001.4744.