Decoupling of heavy quarks in HQET

Abstract

Decoupling of c-quark loops in b-quark HQET is considered. The decoupling coefficients for the HQET heavy-quark field and the heavy-light quark current are calculated with the three-loop accuracy. The last result can be used to improve the accuracy of extracting f_B from HQET lattice simulations (without c-quark loops). The decoupling coefficient for the flavour-nonsinglet QCD current with n antisymmetrized gamma-matrices is also obtained at three loops; the result for the tensor current (n=2) is new.

JHEP3 documentclass; the results in a computer-readable form can be found at http://www-ttp.physik.uni-karlsruhe.de/Progdata/ttp06/ttp06-25/ V2: a few typos corrected, a few minor text improvements, a few references added; V3: several typos in formulas fixed

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• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations
• S-bases as a tool to solve reduction problems for Feynman integrals
• Analytical Evaluation of Double Boxes

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• On one master integral for three-loop on-shell HQET propagator diagrams with mass
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• Matching the heavy-quark fields in QCD and HQET at four loops
• Correlators of heavy-light quark currents in HQET: OPE at three loops
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• Three-loop results in HQET