Quark-quark-gluon vertex for heavy quarks up to order 1/m^5

Abstract

Instead of the often used Foldy-Wouthuysen-Tani (FWT) transformation in non-relativistic quantum chromodynamics (NRQCD), we take a more general relation between the relativistic and non-relativistic on-shell spinors to recalculate the quark-quark-gluon vertex for heavy quarks. In comparison with the previous result using FWT, the recalculated coefficients in the NRQCD Lagrangian are different at order $1/m^3$ and new at order $1/m^4$ and $1/m^5$, where $m$ is the heavy quark mass.

arXiv comment4 pages, 0 figures

References in corpus (12)

• Effective field theories for heavy quarkonium
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• The HQET/NRQCD Lagrangian to order alpha/m^3
• The NRQED lagrangian at order 1/M^4
• Matching coefficients in NRQCD to two-loop accuracy
• The chromo-polarizabilities of a heavy quark at weak coupling
• Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)
• 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
• Elements of QED-NRQED Effective Field Theory: II. Matching of Contact Interactions
• Introduction to the NRQCD Factorization Approach to Heavy Quarkonium
• Some Aspects of the Exact Foldy-Wouthuysen Transformation for a Dirac Fermion

Cited by in corpus (1)

• Matching the Standard Model to Heavy-Quark Effective Theory and Nonrelativistic QCD