Nucleon mass and sigma term from lattice QCD with two light fermion flavors

Bali, Gunnar S.; Bruns, Peter C.; Collins, Sara; Deka, Mridupawan; Gläßle, Benjamin; Göckeler, M.; Greil, Ludwig; Hemmert, Thomas R.; Horsley, R.; Najjar, Johannes; Nakamura, Y.; Nobile, Andrea; Pleiter, D.; Rakow, P. E. L.; Schäfer, Andreas; Schiel, R.; Schierholz, G.; Sternbeck, André; Zanotti, J. M.

doi:10.1016/j.nuclphysb.2012.08.009

Cited by 115 publications

(127 citation statements)

References 35 publications

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“…In Fig. 3 we test our FV correction against lQCD data with approximately the same pion mass but different L. We found four points from the QCDSF Collaboration [49], four points from the NPLQCD Collaboration [62] and two points from the ETM Collaboration [84] at pion masses approximately of 265, 300, 390 and 440 MeV, respectively. Reasonable values of the LECs M 0 = 890 MeV and c 1 = c 1∆ = −0.9 GeV −1 have been chosen for this exercise.…”

Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

“…The band defines the uncertainty range adopted (see the text) while the blue line is the preferred result. [49] (triangles), [62] (red diamonds) and [84] (squares) with approximately the same pion masses are also displayed. We normalize each curve to the point with the largest volume and shifted them by multiples of 50 MeV to avoid overlaps.…”

Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

“…By using the ETMC points at M π = 260 and 262 MeV, and QCDSF points at r 0 M π = 0.658 and 0.660 [49,84] we can roughly estimate the size of this effect. By taking the linear a 2 -extrapolation of Eq.…”

Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

“…More recently, the M π dependence of new N f = 2 lQCD data for M N has been investigated with HBχPT [47] and IRχPT without explicit ∆ degrees of freedom [48][49][50]. The results for σ πN range from 37 to 67 MeV.…”

mentioning

confidence: 99%

“…In the case of Ref. [49], a direct measurement of σ πN [51] was incorporated to the fit, which allowed to increase the precision. Furthermore, three new direct determinations of σ πN have also been performed applying noise reduction techniques for a better determination of the disconnected contribution [52].…”

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confidence: 99%

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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

et al. 2013

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The pion-mass dependence of the nucleon mass within the covariant SU (2) baryon chiral perturbation theory both without and with explicit ∆ (1232) degrees of freedom up to order p 4 is investigated. By fitting to a comprehensive set of lattice QCD data in 2 and 2+1 flavors from several collaborations, for pion masses Mπ < 420 MeV, we obtain low energy constants of natural size and compatible with pion nucleon scattering data. Our results are consistent with the rather linear pion-mass dependence showed by lattice QCD. In the 2 flavor case we have also performed simultaneous fits to nucleon mass and σπN data. As a result of our analysis, which encompasses the study of finite volume corrections and discretization effects, we report a value of σπN = 41(5)(4) MeV in the 2 flavor case and σπN = 52(3)(8) MeV for 2+1 flavors, where the inclusion of the ∆ (1232) resonance changes the results by around 9 MeV. In the 2 flavor case we are able to set independently the scale for lQCD data, given by a Sommer scale of r0 = 0.493(23) fm.

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Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

Section: Nucleon Mass In the Bχptmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

et al. 2013

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Standard model contribution to the electric dipole moment of the deuteron, 3H, and 3He nuclei

Yamanaka

Hiyama

2016

J. High Energ. Phys.

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We calculate for the first time the electric dipole moment (EDM) of the deuteron, 3 H, and 3 He nuclei generated by the one-meson exchange CP-odd nuclear force in the standard model. The effective |∆S| = 1 four-quark operators are matched to the |∆S| = 1 standard model processes involving the CP phase of the Cabibbo-KobayashiMaskawa matrix at the electroweak scale and run down to the hadronic scale µ = 1 GeV according to the renormalization group evolution in the next-to-leading logarithmic order. At the hadronic scale, the hadron matrix elements are modeled in the factorization approach. We then obtain the one-meson (pion, eta meson, and kaon) exchange CP-odd nuclear force, which is the combination of the |∆S| = 1 meson-baryon vertices which issue from the penguin operator and the hyperon-nucleon transition. From this CP-odd nuclear force, the nuclear EDM is calculated with the realistic Argonne v18 interaction and the CP-odd nuclear force using the Gaussian expansion method. It is found that the EDMs of light nuclear systems are of order O(10 −31 )e cm. We also estimate the standard model contribution to other hadronic CP violating observables such as the EDMs of 6 Li, 9 Be nuclei, and the atomic EDMs of 129 Xe, 199 Hg, 211 Rn, and 225 Ra generated through the nuclear Schiff moment. We then analyze the source of theoretical uncertainties and show some possible ways to overcome them.

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Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

Bali¹,

Collins²,

Peter³

et al. 2023

J. High Energ. Phys.

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We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing Nf = 2 + 1 flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from a ≈ 0.10 fm down to below 0.04 fm. The light pion mass varies from Mπ ≈ 429 MeV down to 127 MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than 2.3 fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales $$ \sqrt{t_{0,\textrm{ph}}}={0.1449}_{(9)}^{(7)}\textrm{fm} $$ t 0 , ph = 0.1449 9 7 fm [1] and $$ {t}_0^{\ast}\approx {t}_{0,\textrm{ph}} $$ t 0 ∗ ≈ t 0 , ph [2] from the octet cascade (Ξ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass $$ {m}_N={941.7}_{(7.6)}^{(6.5)} $$ m N = 941.7 7.6 6.5 MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the Ω baryon sigma terms σπN = 43.9(4.7) MeV, $$ {\sigma}_{\pi \Lambda}={28.2}_{(5.4)}^{(4.3)} $$ σ π Λ = 28.2 5.4 4.3 MeV, $$ {\sigma}_{\pi \Sigma}={25.9}_{(6.1)}^{(3.8)} $$ σ π Σ = 25.9 6.1 3.8 MeV, $$ {\sigma}_{\pi \Xi}={11.2}_{(6.4)}^{(4.5)} $$ σ π Ξ = 11.2 6.4 4.5 and $$ {\sigma}_{\pi \Omega}={6.9}_{(4.3)}^{(5.3)} $$ σ π Ω = 6.9 4.3 5.3 MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.

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Nucleon mass and sigma term from lattice QCD with two light fermion flavors

Cited by 115 publications

References 35 publications

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

Standard model contribution to the electric dipole moment of the deuteron, 3H, and 3He nuclei

Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

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