Quark masses with Nf=2 twisted mass lattice QCD

B. Blossier; C. Tarantino; F. Sanfilippo; G. C. Rossi; M. Petschlies; P. Dimopoulos; R. Frezzotti; S. Simula; V. Lubicz

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Quark masses with Nf=2 twisted mass lattice QCD

B. Blossier, P. Dimopoulos, R. Frezzotti, V. Lubicz, M. Petschlies, G. C. Rossi, F. Sanfilippo, S. Simula

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C. Tarantino

High Energy Physics - Lattice · Submitted 8 Nov 2010

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

The authors' main claim The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV.

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arXiv ID1011.1862 (version 1)

Pith ID3YKLNT65, Pith's permanent record of this paper and its review

CitationB. Blossier, C. Tarantino, F. Sanfilippo, G. C. Rossi, M. Petschlies, P. Dimopoulos, R. Frezzotti, S. Simula, V. Lubicz. "Quark masses with Nf=2 twisted mass lattice QCD." arXiv:1011.1862 (2010). https://pith.science/paper/3YKLNT65

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.15 · mentions code or data availability 0.03.

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We present the results of the recent high precision lattice calculation of the average up/down, strange and charm quark masses performed by ETMC with Nf=2 twisted mass Wilson fermions. The analysis includes data at four values of the lattice spacing and pion masses as low as ~270 MeV, allowing for accurate continuum limit and chiral extrapolation. The strange and charm masses are extracted by using several methods, based on different observables: the kaon and the eta_s meson for the strange quark and the D, D_s and eta_c mesons for the charm. The quark mass renormalization is carried out non-perturbatively using the RI-MOM method. The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV. We have also obtained the ratios m_s/m_ud=27.3(9) and m_c/m_s=12.0(3). Moreover, we provide the updated result for the bottom quark mass, m_b(m_b)=4.3(2) GeV, obtained using the method presented in 0909.3187 [hep-lat].

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present the results of the recent high precision lattice calculation of the average up/down, strange and charm quark masses performed by ETMC with Nf=2 twisted mass Wilson fermions.	contribution 0.99	0.59	0.13	asserted 1.00
s1	The analysis includes data at four values of the lattice spacing and pion masses as low as ~270 MeV, allowing for accurate continuum limit and chiral extrapolation.	method 0.99	0.81	0.04	asserted 0.99
s2	The strange and charm masses are extracted by using several methods, based on different observables: the kaon and the eta_s meson for the strange quark and the D, D_s and eta_c mesons for the charm.	method 0.99	0.89	0.03	asserted 1.00
s3	The quark mass renormalization is carried out non-perturbatively using the RI-MOM method.	method 1.00	0.88	0.03	asserted 1.00
s4	The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV.	result 1.00	0.94	0.75	asserted 1.00
s5	We have also obtained the ratios m_s/m_ud=27.3(9) and m_c/m_s=12.0(3).	result 1.00	0.96	0.13	asserted 1.00
s6	Moreover, we provide the updated result for the bottom quark mass, m_b(m_b)=4.3(2) GeV, obtained using the method presented in 0909.3187 [hep-lat].	result 0.93	0.85	0.08	asserted 1.00

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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

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Original abstract

We present the results of the recent high precision lattice calculation of the average up/down, strange and charm quark masses performed by ETMC with Nf=2 twisted mass Wilson fermions. The analysis includes data at four values of the lattice spacing and pion masses as low as ~270 MeV, allowing for accurate continuum limit and chiral extrapolation. The strange and charm masses are extracted by using several methods, based on different observables: the kaon and the eta_s meson for the strange quark and the D, D_s and eta_c mesons for the charm. The quark mass renormalization is carried out non-perturbatively using the RI-MOM method. The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV. We have also obtained the ratios m_s/m_ud=27.3(9) and m_c/m_s=12.0(3). Moreover, we provide the updated result for the bottom quark mass, m_b(m_b)=4.3(2) GeV, obtained using the method presented in 0909.3187 [hep-lat].

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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

The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV.

Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD · 0.89

What it cites · 9 sentences without a confident label

Uses the method or tool of 10 papers

We have studied the dependence of the pion mass and decay constant on the renormalized quark mass, by using the predictions based on NLO ChPT and the Symanzik expansion up to $𝒪(a^2)$.[Here and in the following sections we refer to [ref] for the expressions of the fitting functions.] They include discretization terms of $𝒪(a^2 m_l log(m_l))$, which receive a contribution from the $𝒪(a^2)$ splitting between the neutral and charged pion mass [ref] occurring with twisted mass fermions.

Chiral logs in twisted mass lattice QCD with large isospin breaking · Up/down quark mass · 0.98
We have studied the dependence of the pion mass and decay constant on the renormalized quark mass, by using the predictions based on NLO ChPT and the Symanzik expansion up to $𝒪(a^2)$.[Here and in the following sections we refer to [ref] for the expressions of the fitting functions.] They include discretization terms of $𝒪(a^2 m_l log(m_l))$, which receive a contribution from the $𝒪(a^2)$ splitting between the neutral and charged pion mass [ref] occurring with twisted mass fermions.

Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD · Up/down quark mass · 0.98
_c(2 )=1.14(3)(3) =1.14(4) → _c(_c)=1.28(4) , where the evolution to the more conventional scale given by $_c$ itself has been performed at N$^3$LO [ref] with $N_f=2$, consistently with our non-perturbative evaluation of the renormalization constant.

Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops · Charm quark mass · 0.96

Compares with 4 papers

This value is about $1σ$ smaller, with an improved accuracy with respect to the result given in [ref] .

A proposal for B-physics on current lattices · Bottom quark mass · 0.99
Our result is in good agreement with the HPQCD result $_c(_c)=1.268(9)$ [ref] , with a larger uncertainty in our determination, and with the recent sum rules determination $_c(_c)=1.279(13)$ of [ref] .

Charm and Bottom Quark Masses: an Update · Charm quark mass · 1.00
Our result is in good agreement with the HPQCD result $_c(_c)=1.268(9)$ [ref] , with a larger uncertainty in our determination, and with the recent sum rules determination $_c(_c)=1.279(13)$ of [ref] .

High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD · Charm quark mass · 1.00

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