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On HQET and NRQCD operators of dimension 8 and above

2017/02/28 by Ayesh Gunawardana, Gil Paz · 23 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Dimension (graph theory) #Effective field theory #Field (mathematics) #Heavy quark effective theory #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum field theory #Quark #hep-ph

paper · pdf · doi:10.1007/jhep07(2017)137

published in Journal of High Energy Physics 2017(7) (Springer Nature) · 28 pages, footnote added, journal version

openalex created_date 2017/03/16 · openalex publication_date 2017/07/01 · arxiv created 2017/08/23 · arxiv updated 2017/08/25 · openalex updated_date 2026/08/05

Abstract

Effective field theories such as Heavy Quark Effective Theory (HQET) and Non Relativistic Quantum Chromo-(Electro-) dynamics NRQCD (NRQED) are indispensable tools in controlling the effects of the strong interaction. The increasing experimental precision requires the knowledge of higher dimensional operators. We present a general method that allows for an easy construction of HQET or NRQCD (NRQED) operators that contain two heavy quark or non-relativistic fields and any number of covariant derivatives. As an application of our method, we list these terms in the 1/M 4 NRQCD Lagrangian, where M is the mass of of the spin-half field.

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