2018
DOI: 10.1016/j.physletb.2018.05.063
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Pion–nucleon sigma term revisited in covariant baryon chiral perturbation theory

Abstract: 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 eq… Show more

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Cited by 34 publications
(20 citation statements)
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“…where q 2 is the DM momentum transfer when it scatters against nucleons. Here m N and f N ≈ 0.3 represent the nucleon mass and its SM Higgs coupling [20][21][22], respectively. In the third line, we have only kept the leading-order dependence on the momentum transfer.…”
Section: Tree-level Contributions To the Dm-nucleon Scattering At Finmentioning
confidence: 99%
“…where q 2 is the DM momentum transfer when it scatters against nucleons. Here m N and f N ≈ 0.3 represent the nucleon mass and its SM Higgs coupling [20][21][22], respectively. In the third line, we have only kept the leading-order dependence on the momentum transfer.…”
Section: Tree-level Contributions To the Dm-nucleon Scattering At Finmentioning
confidence: 99%
“…The EOMS scheme has already been successfully applied to study many physical observables such as the magnetic moments [22,[29][30][31], the masses, and sigma terms [21,[32][33][34] of the octet and decuplet baryons, the hyperon vector couplings [35,36], the axial vector charges [37], the pionnucleon scattering [38,39], the nucleon Compton scattering [40], the neutral pion photo production [41], the scattering of pseudoscalar mesons off D=B mesons [42][43][44], the DD Ã scattering [45], and the Ξ cc masses and sigma terms [46,47]. It will be interesting to see how it describes the magnetic moments of the Ξ cc baryons, particularly from the perspective of lattice QCD simulations.…”
Section: Introductionmentioning
confidence: 99%
“…with the effective Higgs-nucleon coupling f N 0.3 [85,88,89]. Here the factor (4µ 2 χN v 2 + m 2 2 ) in the denominator represents the possible light h 2 mediator effects [86,87], where v ≈ 220 km/s denotes the typical DM velocity in the Milky Way relative to the Solar system, and the loop fucntion F (t) is defined as follows…”
Section: Dark Matter Direct Detectionmentioning
confidence: 99%