Consistency between SU(3) and SU(2) covariant baryon chiral perturbation theory for the nucleon mass

Ren, Xiu-Lei; Alvarez‐Ruso, L.; Geng, Li-Sheng; Ledwig, Tim; Meng, J.; Vacas, M. J. Vicente

doi:10.1016/j.physletb.2017.01.024

Cited by 10 publications

(13 citation statements)

References 76 publications

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“…This is not surprising since as shown in Ref. [40] the SU(3) and SU(2) BChPT are consistent with each other within uncertainties, particularly for m π < 300 MeV. Second, one should note that our results are tied to the quality of the lattice QCD data that we fitted.…”

Section: Resultssupporting

confidence: 81%

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Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory

2018

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We study the latest N f = 2 + 1 + 1 and N f = 2 ETMC lattice QCD simulations of the nucleon masses and extract the pion-nucleon sigma term utilizing the Feynman-Hellmann theorem in SU(2) baryon chiral perturbation theory with the extended-on-mass-shell scheme. We find that the lattice QCD data can be described quite well already at the next-to-next-to-leading order. The overall picture remains essentially the same at the next-to-next-to-next-to-leading order. Our final result is σπN = 50.2(1.2)(2.0) MeV, or equivalently, f N u/d = 0.0535 (13)(21), where the first uncertainty is statistical and second is theoretical originated from chiral truncations, which is in agreement with that determined previously from the N f = 2 + 1 and N f = 2 lattice QCD data and that determined by the Cheng-Dashen theorem. In addition, we show that the inclusion of the virtual ∆(1232) does not change qualitatively our results.

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Section: Resultssupporting

confidence: 81%

“…Following Ref. [40], we take f π = 0.0871 GeV, g A = 1.267, and µ = 1.0 GeV in our numerical study, unless otherwise specified.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory

2018

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“…Also shown for comparison in the figures are determinations from the FH method which utilize more than one lattice data set [454,455,949,[954][955][956][957][958][959][960] as well as results for σ π N obtained from recent analyses of π -N scattering [940][941][942]961]. There is some tension, at the level of three to four standard deviations, between the lattice average for N f = 2 + 1 and Hoferichter et al [942], who quote a precision similar to that of the average.…”

Section: Summary Of Results For G Uds Smentioning

confidence: 96%

“…Determinations via the direct approach are indicated by squares and the Feynman-Hellmann method by triangles. Results from calculations which analyse more than one lattice data set within the Feynman-Hellmann approach [454,455,949,[954][955][956][957][958][959][960] are shown for comparison (pentagons) along with those from recent analyses of π -N scattering [940][941][942]961] (circles) Fig. 45 Lattice results and FLAG averages for σ s for the N f = 2, 2 + 1, and 2 + 1 + 1 flavour calculations.…”

Section: S From Direct and Hybrid Calculations Of The Matrix Elementsmentioning

confidence: 99%

FLAG Review 2019

et al. 2020

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We review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$f+(0) arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$fK/fπ and its consequences for the CKM matrix elements $$V_{us}$$Vus and $$V_{ud}$$Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$SU(2)L×SU(2)R and $$SU(3)_L\times SU(3)_R$$SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the $$B_K$$BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$mc and $$m_b$$mb as well as those for D- and B-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$αs. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

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“…On the other hand, these properties can be generated as functions of pion masses in ChEFT. Therefore, there are many attempts to extrapolate the LQCD results of hadrons to physical pion mass with the help of ChEFT, such as baryon masses, axial coupling constants, magnetic moments [1][2][3][4], and so on. These works largely improved our understanding on the QCD theory for single hadrons at low energy region.…”

Section: Introductionmentioning

confidence: 99%

The one-pion-exchange potential with contact terms from lattice QCD simulations

Hu,

Zhang,

Shen

et al. 2020

Preprint

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The pion-mass-dependent nucleon-nucleon (N N ) potentials in term of one-pion exchange and contact terms are obtained from the latest lattice QCD simulations of two-nucleon system, which employ the forms of leading order (LO) N N potential from the chiral effective field theory and thus are named as the LO chiral potential in this work. We extract the coefficients of contact terms and cut-off momenta in these potentials, for the first time, by fitting the phase shifts of 1 S 0 and 3 S 1 channels generated by the results of HALQCD collaboration with various pion masses from 468.6MeV to 1170.9 MeV. The low-energy constants in the 1 S 0 and 3 S 1 channels become weaker and approach each other for larger pion masses. These LO chiral potentials are applied to symmetric nuclear and pure neutron matter within the Brueckner-Hartree-Fock method. At this moment, however, we do not have yet the information of the P -wave N N interaction to be provided by the lattice QCD simulations for full description of nuclear matter. Our results will enhance the development of nuclear structure and nuclear matter by controlling the contribution of the pionic effect and illuminate the role of chiral symmetry of the strong interaction in complex system.

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Consistency between SU(3) and SU(2) covariant baryon chiral perturbation theory for the nucleon mass

Cited by 10 publications

References 76 publications

Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory

Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory

FLAG Review 2019

The one-pion-exchange potential with contact terms from lattice QCD simulations

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