Marcos A. G. Garcia — Page 4

arXiv2013

The Moduli and Gravitino (non)-Problems in Models with Strongly Stabilized Moduli

In gravity mediated models and in particular in models with strongly stabilized moduli, there is a natural hierarchy between gaugino masses, the gravitino mass and moduli masses: $m_{1/2} \ll m_{3/2} \ll m_ϕ$. Given this hierarchy, we show that 1) moduli problems associated with excess entropy production from moduli decay and 2) problems associated with moduli/gravitino decays to neutralinos are non-existent. Placed in an inflationary context, we show that the amplitude of moduli oscillations are severely limited by strong stabilization. Moduli oscillations may then never come to dominate the energy density of the Universe. As a consequence, moduli decay to gravitinos and their subsequent decay to neutralinos need not overpopulate the cold dark matter density.

hep-ph↗

arXiv2013

Affleck-Dine Baryogenesis and Inflation in Supergravity with Strongly Stabilized Moduli

Constructing models of inflation and/or baryogenesis in the context of N=1 supergravity is known to be difficult as the finite energy density during inflation typically generates large (order the Hubble scale) mass terms. This is the well-known eta problem in inflation. The same effect gives masses along low energy flat directions of the scalar potential thus potentially preventing Affleck-Dine baryogenesis to occur. It has been shown that adding a chiral multiplet S coupled to the inflaton (with a shift symmetry) can serve to stabilize the inflationary potential and allows one to derive simple inflationary potentials without an eta problem. Here, we show that by coupling the same stabilizing field S to the flat direction, may naturally lead to a negative mass-squared contribution to the flat direction thus generating the necessarily large vacuum expectation value needed to realize Affleck-Dine baryogenesis. We trace the evolution of the inflaton, stabilizer, and flat direction field, as well as a Polonyi-like modulus responsible for soft supersymmetry breaking.

hep-ph↗