Twisted-mass lattice QCD with mass non-degenerate quarks

Dipartimento di Fisica; G.C. Rossi (Dipartimento di Fisica; INFN; R. Frezzotti (INFN; Sezione di Milano; Sezione di Roma 2); Universit\`a di Milano Bicocca); Universit\`a di Roma Tor Vergata

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Twisted-mass lattice QCD with mass non-degenerate quarks

R. Frezzotti (INFN, Sezione di Milano, Dipartimento di Fisica, Università di Milano Bicocca), G.C. Rossi (Dipartimento di Fisica, Università di Roma Tor Vergata, INFN, Sezione di Roma 2)

High Energy Physics - Lattice · Submitted 7 Nov 2003

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

The authors' main claim We show that in the case of maximal twist all these nice results can be extended to the more interesting case of a mass non-degenerate quark pair.

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arXiv IDhep-lat/0311008 (version 2)

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CitationDipartimento di Fisica, G.C. Rossi (Dipartimento di Fisica, INFN, R. Frezzotti (INFN, Sezione di Milano, Sezione di Roma 2), Universit\`a di Milano Bicocca), Universit\`a di Roma Tor Vergata. "Twisted-mass lattice QCD with mass non-degenerate quarks." arXiv:hep-lat/0311008 (2003). https://pith.science/paper/HNHY2CV7

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.78 · mentions code or data availability 0.02.

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The maximally twisted lattice QCD action of an $SU_f(2)$ doublet of mass degenerate Wilson quarks gives rise to a real positive fermion determinant and it is invariant under the product of standard parity times the change of sign of the coefficient of the Wilson term. The existence of this spurionic symmetry implies that O($a$) improvement is either automatic or achieved through simple linear combinations of quantities taken with opposite external three-momenta. We show that in the case of maximal twist all these nice results can be extended to the more interesting case of a mass non-degenerate quark pair.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The maximally twisted lattice QCD action of an $SU_f(2)$ doublet of mass degenerate Wilson quarks gives rise to a real positive fermion determinant and it is invariant under the product of standard parity times the change of sign of the coefficient of the Wilson term.	background 0.99	0.14	0.06	asserted 1.00
s1	The existence of this spurionic symmetry implies that O($a$) improvement is either automatic or achieved through simple linear combinations of quantities taken with opposite external three-momenta.	interpretation 0.61	0.14	0.08	asserted 0.67
s2	We show that in the case of maximal twist all these nice results can be extended to the more interesting case of a mass non-degenerate quark pair.	contribution 0.61	0.92	0.88	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.90.

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The paper

Original abstract

The maximally twisted lattice QCD action of an $SU_f(2)$ doublet of mass degenerate Wilson quarks gives rise to a real positive fermion determinant and it is invariant under the product of standard parity times the change of sign of the coefficient of the Wilson term. The existence of this spurionic symmetry implies that O($a$) improvement is either automatic or achieved through simple linear combinations of quantities taken with opposite external three-momenta. We show that in the case of maximal twist all these nice results can be extended to the more interesting case of a mass non-degenerate quark pair.

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Cited by 2 Pith papers

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

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hep-lat 2026-05 unverdicted novelty 8.0 of 10

First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
Inclusive $\bar B_s\mapsto X_{\bar sc} \ell \bar \nu$ decays from lattice QCD: computational strategy and a first physical result
hep-lat 2026-07 unverdicted novelty 7.0 of 10

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.

How the literature uses it

55 arXiv papers cite this in 81 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 · 47 sentences without a confident label

Uses its method or tool 29 papers

The latter are related to $μ_σ$ and $μ_δ$ via [ref] : [equation] where the $-$ sign corresponds to the strange and the $+$ sign to the charm.

Status of ETMC simulations with Nf=2+1+1 twisted mass fermions · Lattice action and simulation algorithm · 0.87
for the light degenerate up/down doublet [ref] and the heavy non-degenerate strange/charm doublet [ref] respectively, where $D_W$ denotes the standard Wilson Dirac operator. $κ= 1 / (2 m_0 + 8)$ is tuned to maximal twist by requiring $m_χ^(l)^PCAC = 0$, which guarantees automatic $𝒪(a)$ improvement for physical quantities, e.g. the here considered kaon and $D$ meson masses.

Kaon and D meson masses with N_f = 2+1+1 twisted mass lattice QCD · Simulation setup · 0.86
while for the $(c,s)$ doublet the twisted mass formulation for non-degenerate quarks of [ref] has been used:

Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD · $N_f = 2+1+1$ twisted mass lattice QCD · 0.97

Uses its data or values 1 paper

In our work we used two gauge ensembles generated by the JLQCD collaboration [ref] and by the ETM collaboration [ref] , which use Domain Wall fermions and Twisted-Mass Wilson fermions respectively.

Inclusive semileptonic $B$-decays from lattice QCD · Lattice computation · 0.96

Cites it as support 1 paper

It depends on [equation] The expression for $M_π^2$ explicitly verifies that $O(a)$-improvement of the pion mass requires both twist angles to be at maximal twist [ref] .

Twisted mass chiral perturbation theory for 2+1+1 quark flavours · Pion masses · 0.98

Cites it as background 1 paper

The generalisation to mass-non-degenerate flavour doublets exists [ref] , but lies beyond the scope of this paper.

Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks · Wilson quarks with a chiral twist · 0.84

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