Catch-Me-If-You-Can: The Overshoot Problem and the Weak/Inflation Hierarchy

Understand

We study the overshoot problem in the context of post-inflationary string cosmology (in particular LVS).

• LVS cosmology features a long kination epoch as the volume modulus rolls down the exponential slope towards the final minimum, with an energy density that scales as $m_s^4$.
• This roll admits attractor tracker solutions, and if these are located the overshoot problem is solved.
• We show that, provided a sufficiently large hierarchy exists between the inflationary scale and the weak scale, this will always occur in LVS as initial seed radiation grows into the tracker solution.