$\pi$N and strangeness sigma terms at the physical point with chiral fermions

Abstract

Lattice QCD calculations with chiral fermions of the $\pi$N sigma term ${\sigma }_{\pi N}$ and strangeness sigma term ${\sigma }_{sN}$ including chiral interpolation with continuum and volume corrections are provided in this work, with the excited-state contaminations subtracted properly. We calculate the scalar matrix element for the light/strange quark directly and find ${\sigma }_{\pi N}=45.9(7.4)(2.8)$ MeV, with the disconnected insertion part contributing 20(12)(4)\%, and ${\sigma }_{sN}=40.2(11.7)(3.5)$ MeV, which is somewhat smaller than ${\sigma }_{\pi N}$. The ratio of the strange/light scalar matrix elements is $y$ = 0.09(3)(1).

arXiv comment7 pages, 5 figures, expanded version accepted for publication in PRD

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