Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Latex, epsfig. Improved teXnology and modified conclusions. The complete paper, including figures, is also available via anony

Scientific paper

10.1103/PhysRevD.59.034006

We present a calculation of the renormalized HQET Lagrangian at order O(1/m_Q^3) in the one particle sector. The anomalous dimensions of local operators and time ordered products of dimension 7 contributing at this order are calculated in the one loop approximation. We show that a careful treatment of the time ordered products is necessary to arrive at a gauge independent renormalized lagrangian. Our result sets the stage for an investigation of reparametrization invariance at O(1/m_Q^3).

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