Considering gravitino dark matter scenarios with a long-lived charged slepton , we show that collider measurements of the slepton mass and its lifetime can probe not only the gravitino mass but also the post-inflationary reheating temperature T _ { \mathrm { R } } .
In a model independent way , we derive upper limits on T _ { \mathrm { R } } and discuss them in light of the constraints from the primordial catalysis of ^ { 6 } Li through bound-state effects .
In the collider-friendly region of slepton masses below 1 TeV , the obtained conservative estimate of the maximum reheating temperature is about T _ { \mathrm { R } } = 3 \times 10 ^ { 9 } \mathrm { GeV } for the limiting case of a small gluino–slepton mass splitting and about T _ { \mathrm { R } } = 10 ^ { 8 } \mathrm { GeV } for the case that is typical for universal soft supersymmetry breaking parameters at the scale of grand unification .
We find that a determination of the gluino–slepton mass ratio at the Large Hadron Collider will test the possibility of T _ { \mathrm { R } } > 10 ^ { 9 } \mathrm { GeV } and thereby the viability of thermal leptogenesis with hierarchical heavy right–handed Majorana neutrinos .