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.

arXiv commentJHEP3 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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• Heavy-to-heavy quark decays at NNLO
• Light quark mass effects in the on-shell renormalization constants
• Simultaneous decoupling of bottom and charm quarks
• Matching QCD and HQET heavy-light currents at three loops
• The Bino Variations: Effective Field Theory Methods for Dark Matter Direct Detection
• Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing
• $B^0$-${\bar{B}}^0$ mixing: matching to HQET at NNLO
• On one master integral for three-loop on-shell HQET propagator diagrams with mass
• On the reduction of Feynman integrals to master integrals
• Matching heavy-quark fields in QCD and HQET at three loops
• Matching the heavy-quark fields in QCD and HQET at four loops
• Correlators of heavy-light quark currents in HQET: OPE at three loops
• Three-loop results in HQET
• Matching QCD and HQET at three loops