shaded area indicates the uncertainty from the temperature. The value of $a_*=1076~a_0$ has been fixed to reproduce the resonance position at $B_{*}^{\rm
  exp}=685$ G. For $\eta_*=0.016$, the finite temperature effects decrease the height of the peak by an order of magnitude but the predicted resonance shape is still much narrower than the data. The finite temperature effects are much less severe for $\eta_*=0.34$. They only lead to a reduction of $\beta_1$ by about 25 % but clearly improve the description of the data. We conclude that finite temperature effects can not resolve the question of the different values for $\eta_*$ in the three-body recombination and dimer-relaxation data. Moreover, while finite temperature effects are important, a qualitative description of the data at $T\approx 60$ nK can be already achieved with a zero temperature calculation.

Summary and Outlook {#sec:summary}
===================

In this work, we have studied Efimov physics in atom-dimer relaxation of $^6$Li atoms in the three lowest hyperfine states using the universal zero-range theory. Two resonances were observed at magnetic fields 603 G and 685 G in the relaxation rate $\beta_1$ in recent experiments [@Lompe:2010; @Nakajima:2010]. These resonances are consequences of two Efimov trimers close to the atom-dimer threshold. Their positions 