HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case

Abstract

We obtain the renormalization group improved expressions of the Wilson coefficients associated to the $\mathcal{O}(1/m^3)$ spin-dependent heavy quark effective theory Lagrangian operators, with leading logarithmic approximation, in the case of zero light quarks. We have employed the Coulomb gauge.

arXiv comment26 pages and 4 figures (but 7 images)

References in corpus (16)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Review of Heavy Quarkonium at weak coupling
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Spin Dependence of Heavy Quarkonium Production and Annihilation Rates: Complete Next-to-Next-to-Leading Logarithmic result
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• Heavy Quark Effective Theory at Large Orders in $1/m$
• Spectator Effects in the Heavy Quark Effective Theory
• Renormalizing the heavy quark effective field theory Lagrangian to order 1/m^2
• The chromo-polarizabilities of a heavy quark at weak coupling
• Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)
• Spectator Effects in Heavy Quark Effective Theory at O(1/m_Q^3)

Cited by in corpus (7)

• The proton radius (puzzle?) and its relatives
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• Spectator effects in the HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Quark-quark-gluon vertex for heavy quarks up to order 1/m^5