TTP98-30 Reparametrization Invariance of Heavy Quark Effective Theory at O(1/m_Q^3)

We extend the investigation of the reparametrization invariance of Heavy Quark Effective Theory to O(1/m_Q^3). We show that to this order reparametrization invariance can only be maintained if the the reparametrization transformation is renormalized properly.