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

Abstract

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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References in corpus (3)

• The HQET/NRQCD Lagrangian to order alpha/m^3
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• HQET chromomagnetic interaction at two loops

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• The chromo-polarizabilities of a heavy quark at weak coupling
• HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• Spectator effects in the HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• Quark-quark-gluon vertex for heavy quarks up to order 1/m^5