We point out that in theories where the gravitino mass, M3/2, is in the range (10-50) TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking B parameter) are of order (10-50) TeV, the Higgs vev takes its expected value and the μ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.
|Number of pages
|Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
|Published - 5 Oct 2011
Bibliographical noteFunding Information:
We collectively thank Tim Cohen, Piyush Kumar, Pran Nath, Brent Nelson, Aaron Pierce, Lian-Tao Wang, James Wells, and Hai-Bo Yu for comments and conversations following the near completion of this Letter. This research is supported by Department of Energy grant DE-FG02-95ER40899 and by the Michigan Center for Theoretical Physics , and support of EK and RL by the String Vacuum Project Grant funded through NSF grant PHY/0917807 .