Application of heavy-quark effective theory to lattice QCD: I. Power Corrections

Andreas S. Kronfeld

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Application of heavy-quark effective theory to lattice QCD: I. Power Corrections

Andreas S. Kronfeld

High Energy Physics - Lattice · Submitted 7 Feb 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors.

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arXiv IDhep-lat/0002008 (version 2)

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CitationAndreas S. Kronfeld. "Application of heavy-quark effective theory to lattice QCD: I. Power Corrections." arXiv:hep-lat/0002008 (2000). https://pith.science/paper/CFBMRECR

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

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Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a. This description is possible because heavy-quark symmetries are respected. It is desirable because the ultraviolet cutoff $1/a$ in current numerical work and the heavy-quark mass $m_Q$ are comparable. Effects of both short distances, a and $1/m_Q$, are captured fully into coefficient functions, which multiply the operators of the usual HQET. Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors. Three explicit examples are given: namely, the mass, decay constant, and semileptonic form factors of heavy-light mesons.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a.	contribution 0.75	0.79	0.07	asserted 1.00
s1	This description is possible because heavy-quark symmetries are respected.	background 0.57	0.15	0.07	asserted 0.60
s2	It is desirable because the ultraviolet cutoff $1/a$ in current numerical work and the heavy-quark mass $m_Q$ are comparable.	background 0.91	0.14	0.08	asserted 0.89
s3	Effects of both short distances, a and $1/m_Q$, are captured fully into coefficient functions, which multiply the operators of the usual HQET.	method 0.76	0.66	0.24	asserted 1.00
s4	Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors.	method 0.96	0.76	0.15	asserted 1.00
s5	Three explicit examples are given: namely, the mass, decay constant, and semileptonic form factors of heavy-light mesons.	contribution 0.95	0.86	0.10	asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.61 · evidence from proof or derivation 0.86.

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Original abstract

Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a. This description is possible because heavy-quark symmetries are respected. It is desirable because the ultraviolet cutoff $1/a$ in current numerical work and the heavy-quark mass $m_Q$ are comparable. Effects of both short distances, a and $1/m_Q$, are captured fully into coefficient functions, which multiply the operators of the usual HQET. Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors. Three explicit examples are given: namely, the mass, decay constant, and semileptonic form factors of heavy-light mesons.

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How the literature uses it

27 arXiv papers cite this in 79 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 57 sentences without a confident label

Builds on it 1 paper

This has been pursued in detail emphasizing heavy-light hadrons [ref] , and here we explain the ideas in the context of quarkonium.

Quarkonium mass splittings in three-flavor lattice QCD · Heavy quark formulation · 0.81

Uses its method or tool 10 papers

The HQET-Symanzik formalism used to define the $Z_J$ can also be used to control and suppress cutoff dependence [ref] .

B -> D* l nu at zero recoil: an update · Matching, blinding, and discretization effects · 0.88
Applying the theory of heavy-quark cutoff effects developed in Refs. [ref] , we estimate the size of these errors in Appendix [ref], providing in Tables [ref] and [ref] numerical results for the errors on $h_±(w)$ from mismatches in the lattice action and currents for a heavy-quark scale of $Λ̅=450$ MeV.

The $B \to D \ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD · Heavy-quark discretization errors · 0.97
As in earlier work [ref] , we define [equation] where {$𝒱$, $𝒯$} and {$V$, $T$} are the continuum and lattice current operators, respectively.

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We proceed by collecting results from Ref. [ref] for the zero-recoil discretization errors in matrix elements of the currents in Eqs. ([ref]) and ([ref]) and combining them into a formula for the discretization error in $j√(R_A_1)$.

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The current improvement to first order in $λ$ was studied in [ref] .

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For more details, the reader may consult earlier work [ref] or a pedagogical review [ref] .

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The Fermilab action is applicable to both heavy-light systems and quarkonia, with suitable power counting: HQET power counting [ref] for heavy-light systems and NRQCD for quarkonia [ref] .

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