Matching QCD and HQET heavy-light currents at three loops

Abstract

We consider the currents formed by a heavy and a light quark within Quantum Chromodynamics and compute the matching to Heavy Quark Effective Theory to three-loop accuracy. As an application we obtain the third-order perturbative corrections to ratios of B-meson decay constants.

23 pages, full results are available as Mathematica files at http://www-ttp.particle.uni-karlsruhe.de/Progdata/ttp09/ttp09-41/ ; v2: an error in comparison with Ref. [8] fixed ; v3: Journal version

References in corpus (7)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Three-Loop Chromomagnetic Interaction in HQET
• Light quark mass effects in the on-shell renormalization constants
• Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current
• Decoupling of heavy quarks in HQET
• Light quark mass effects in the chromomagnetic moment

Cited by in corpus (23)

• FLAG Review 2021
• B-meson decay constants: a more complete picture from full lattice QCD
• FIESTA 2: parallelizeable multiloop numerical calculations
• Simultaneous decoupling of bottom and charm quarks
• Weak decays of unstable $b$-mesons
• HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Introduction to Non-perturbative Heavy Quark Effective Theory
• HQET at order 1/m: III. Decay constants in the quenched approximation
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• $B^0$-${\bar{B}}^0$ mixing: matching to HQET at NNLO
• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• Matching heavy-quark fields in QCD and HQET at three loops
• Study of the rare decays $B_{(}s,d{)}^{\ast }$ arrow $l^{+}{l}^{-}$ in Z' model
• Correlators of heavy-light quark currents in HQET: OPE at three loops
• Non-perturbative tests of continuum HQET through small-volume two-flavour QCD
• Approaching the Bottom Using Fine Lattices With Domain-Wall Fermions
• Lepton polarization asymmetry in $B_{(}s,d{)}^{\ast }$ arrow ${\mu }^{+}{\mu }^{-}$ with new Z' couplings
• Introduction to effective field theories. 3. Bloch--Nordsieck effective theory, HQET
• Matching QCD and HQET at three loops
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics