Chirally improving Wilson fermions II. Four-quark operators

Dip.di Fisica Univ. Milano Bicocca); G.C. Rossi (Dip. di Fisica; INFN - Sez. di Roma II; NIC/DESY Zeuthen); R. Frezzotti (INFN - Sez. di Milano; Univ. Roma Tor Vergata

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Chirally improving Wilson fermions II. Four-quark operators

R. Frezzotti (INFN - Sez. di Milano, Dip.di Fisica Univ. Milano Bicocca), G.C. Rossi (Dip. di Fisica, Univ. Roma Tor Vergata, INFN - Sez. di Roma II, NIC/DESY Zeuthen)

High Energy Physics - Lattice · Submitted 2 Jul 2004

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

The authors' main claim In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of the Wilson and mass terms in the action, it is possible to completely bypass the problem of wrong chirality and parity mixings in the computation of the CP-conserving matrix elements of the $\Delta S=1,2$ effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O($a$) improvement in on-shell quantities with no need of improving the lattice action and the operators.

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arXiv IDhep-lat/0407002 (version 2)

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CitationDip.di Fisica Univ. Milano Bicocca), G.C. Rossi (Dip. di Fisica, INFN - Sez. di Roma II, NIC/DESY Zeuthen), R. Frezzotti (INFN - Sez. di Milano, Univ. Roma Tor Vergata. "Chirally improving Wilson fermions II. Four-quark operators." arXiv:hep-lat/0407002 (2004). https://pith.science/paper/IMRUSOOK

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,761 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.21 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of the Wilson and mass terms in the action, it is possible to completely bypass the problem of wrong chirality and parity mixings in the computation of the CP-conserving matrix elements of the $\Delta S=1,2$ effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O($a$) improvement in on-shell quantities with no need of improving the lattice action and the operators.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of the Wilson and mass terms in the action, it is possible to completely bypass the problem of wrong chirality and parity mixings in the computation of the CP-conserving matrix elements of the $\Delta S=1,2$ effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O($a$) improvement in on-shell quantities with no need of improving the lattice action and the operators.	contribution 0.95	0.64	0.89	asserted 0.69

What kind of paper the classifier reports this is: method or tool 0.99 · evidence from argument 0.67.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of the Wilson and mass terms in the action, it is possible to completely bypass the problem of wrong chirality and parity mixings in the computation of the CP-conserving matrix elements of the $\Delta S=1,2$ effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O($a$) improvement in on-shell quantities with no need of improving the lattice action and the operators.

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References

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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Lattice QCD strategy interpolates sub-physical mass data with OPE to obtain the inclusive anti-B_s to X_sc l nu decay rate, yielding 7% precision on limited ETMC ensembles via a new four-point correlator method.
Lattice QCD study of the $\chi_{c1}\to J/\psi \, \gamma$ decay
hep-lat 2025-06 accept novelty 7.0 of 10

A first-principles lattice QCD calculation gives Gamma(chi_c1 to J/psi gamma) = 0.3265(79) MeV and a2 = -0.0666(22), consistent with experiment and far more precise than prior lattice results.
Lattice QCD determination of the radiative decay rates $h_{c}\to \eta_{c}\, \gamma$ and $h_{b}\to \eta_{b}\, \gamma$
hep-lat 2025-04 conditional novelty 7.0 of 10

Using five lattice spacings with physical quark masses, the authors obtain Gamma(h_c->eta_c gamma)=0.604(24) MeV and the first lattice QCD estimate Gamma(h_b->eta_b gamma)=46.0(4.8) keV.
Smeared $R$-ratio in isospin symmetric QCD with Low Mode Averaging
hep-lat 2025-02 conditional novelty 6.0 of 10

Low Mode Averaging improves lattice precision enough to resolve the rho resonance in the energy-smeared R-ratio at sigma=250 MeV.

Show 3 more citing papers

Four-quark operators with $\Delta F = 2$ in the GIRS scheme
hep-lat 2025-01 conditional novelty 5.0 of 10

One-loop GIRS-to-MS conversion matrices for ΔF=2 four-quark operators are tabulated, enabling nonperturbative lattice renormalization of these operators.
Hadronic light-by-light contribution to the muon $g-2$ using twisted-mass fermions
hep-lat 2024-12 conditional novelty 5.0 of 10

Lattice QCD gives preliminary continuum-limit values for the charm and strange connected hadronic light-by-light contributions, plus first single-ensemble results for light connected and 2+2 disconnected contributions.
Strange and charm quark contributions to the muon anomalous magnetic moment in lattice QCD with twisted-mass fermions
hep-lat 2024-11 accept novelty 5.0 of 10

In isospin-symmetric QCD, lattice QCD gives the quark-connected strange and charm HVP contributions to the muon g-2 as 53.57(63) x 10^-10 and 14.56(13) x 10^-10.

How the literature uses it

82 arXiv papers cite this in 143 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We discuss how the peculiar properties of maximally twisted Wilson fermions can be exploited to set up a consistent LQCD computational scheme in which the CP-conserving matrix elements of the $\Delta S =1,2$ effective weak Hamiltonian can be evaluated without mixing with wrong-chirality and/or -parity operators.

Four quark operators in maximally twisted Wilson LQCD · 0.99

Papers citing it · 72 sentences without a confident label

Builds on it 1 paper

We relied on the same mixed-action setup described in Refs. [ref] and evaluated, for each of the ensembles in TABLE [ref], the current-current correlator in Eq. ([ref]), extending to the $u̅s$ flavour channel the calculation performed in Ref. [ref] in the $u̅d$ sector (to which we refer for further technical details).

Inclusive hadronic decay rate of the $\tau$ lepton from lattice QCD: the $\bar u s$ flavour channel and the Cabibbo angle · Methods and Materials · 0.85

Uses its method or tool 56 papers

In the valence sector we employ the Osterwalder-Seiler (OS) action [ref] .

Investigating a mixed action approach for {\eta} and {\eta}' mesons in Nf=2+1+1 lattice QCD · Lattice actions · 0.99
For this reason we use a mixed action approach with the OS action [ref] in the valence sector and choose $D_ℓ^+$ in Eq. [ref] for both up and down quarks, so that the isospin symmetry is guaranteed in the valence sector.

Isospin-0 $\pi\pi$ s-wave scattering length from twisted mass lattice QCD · Finite volume spectrum · 0.92
The valence quarks are twisted mass (TM) fermions [ref] , automatically $𝒪(a)$-improved by tuning the hopping parameter $κ$ to its critical value, such that the PCAC quark mass vanishes [ref] .

Step scaling in coordinate space: running of the quark mass · Introduction · 0.97

Cites it as support 2 papers

We remark that the nonconserved local currents do not spoil the automatic $𝒪(a)$ improvement [ref] and the four-point function in Eq. ([ref]) is therefore $𝒪(a)$ improved.

Hadronic light-by-light contribution to the muon $g-2$ using twisted-mass fermions · Introduction · 0.97
It has been shown in Ref. [ref] that this kind of mixed action preserves the automatic O$(a)$-improvement of physical observables, i.e. lattice artifacts, including those violating unitarity, scale as O$(a^2)$ implying that unitarity is safely recovered in the continuum limit.

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Cites it as background 2 papers

The twisted mass formulation of Lattice QCD [ref] has been studied extensively with $N_f=2$ dynamical flavours by the European Twisted Mass (ETM) collaboration.

Light hadrons from Nf=2+1+1 dynamical twisted mass fermions · Introduction · 0.94
The twisted mass formulation of Lattice QCD [ref] is being studied extensively with $N_f=2$ dynamical flavours by the European Twisted Mass (ETM) collaboration [ref] .

First results of ETMC simulations with Nf=2+1+1 maximally twisted mass fermions · Introduction · 0.97

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