Non-perturbative heavy quark effective theory

Rainer Sommer

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Published in print August 2011 | ISBN: 9780199691609
Published online January 2012 | e-ISBN: 9780191731792 | DOI:

Series: Lecture Notes of the Les Houches Summer School

Non-perturbative heavy quark effective theory

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This chapter describes a heuristic derivation of the HQET Lagrangian from continuum QCD and discusses the renormalization of the effective field theory. A lattice discretization is introduced including its Symanzik improvement and renormalization. Matching of the effective theory to QCD is first explained in perturbation theory in the QCD coupling as well as subsequently on a non-perturbative level. The inclusion of 1/M corrections, their renormalization and practical implementation is discussed in detail. The chapter finishes with the description of a practical method for non-perturbative matching of HQET to QCD and examples of results.

Keywords: Effective field theory; renormalization; discretization; Symanzik improvement; non-perturbative matching; 1/m; corrections

Chapter.  35948 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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