Non-perturbative Heavy Quark Effective Theory

Abstract

We explain how to perform non-perturbative computations in HQET on the lattice. In particular the problem of the subtraction of power-law divergences is solved by a non-perturbative matching of HQET and QCD. As examples, we present a full calculation of the mass of the b-quark in the combined static and quenched approximation and outline an alternative way to obtain the B-meson decay constant at lowest order. Since no excessively large lattices are required, our strategy can also be applied including dynamical fermions.

27 pages including figures and tables, latex2e; version published in JHEP, typos corrected and 1 reference added

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• HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
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• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
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• Non-perturbative renormalization of the static axial current in two-flavour QCD
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• Functional Methods for Heavy Quark Effective Theory
• Applications of Chiral Perturbation theory to lattice QCD
• An exploratory study of heavy domain wall fermions on the lattice
• An unquenched lattice QCD calculation of the mass of the bottom quark
• Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays
• Standard Model Heavy Flavor physics on the Lattice
• Heavy Quarks on the Lattice
• Precision study of B^* Bπcoupling for the static heavy-light meson
• One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• Heavy flavor physics from lattice QCD
• The renormalised $\mathrm{O}(a)$ improved vector current in three-flavour lattice QCD with Wilson quarks
• $|V_{ub}|$ determination in lattice QCD
• A one-loop study of matching conditions for static-light flavor currents
• A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation
• Hints and challenges in heavy flavor physics
• The continuum limit of the quark mass step scaling function in quenched lattice QCD
• Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD
• Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
• Relations between $b\to c\tau \nu$ Decay Modes in Scalar Models
• Twisted mass QCD for weak matrix elements
• B-physics from non-perturbatively renormalized HQET in two-flavour lattice QCD
• Heavy-light decay constant at the 1/m order of HQET
• Lattice renormalisation of O(a) improved heavy-light operators
• Heavy quark masses from lattice QCD
• Status of heavy quark physics from the lattice
• Signal at subleading order in lattice HQET
• Towards precision heavy flavour physics from lattice QCD
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics
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• Study of 1/m corrections in HQET
• Towards Precision B-physics from Non-Perturbative Heavy Quark Effective Theory
• The effect of sea quarks on the mass of the charm quark from Lattice QCD
• Phenomenological applications of non-perturbative heavy quark effective theory
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• HQET form factors for $B_s\to K\ell \nu$ decays beyond leading order
• The n_f=2 residual mass in lattice HQET to alpha^3 order
• Non-perturbative Heavy Quark Effective Theory: An application to semi-leptonic B-decays