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The pion-nucleon sigma term from Lattice QCD

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arxiv 2203.13862 v1 pith:D2UA2TBM submitted 2022-03-25 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords sigmadeltaexcited-statefoundlatticetermadditionanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We summarize recent evidence, both from lattice QCD and chiral perturbation theory, that suggests that larger-than-expected excited-state contamination could be the reason for the tension between phenomenological determinations and previous direct lattice-QCD calculations of the pion--nucleon sigma term $\sigma_{\pi N}$. In addition, we extend the $\chi$PT analysis by calculating the corrections due to including the $\Delta(1232)$ resonance as an explicit degree of freedom. This correction is found to be small, thereby corroborating the excited-state effects found in the $\Delta$-less calculation and the result for $\sigma_{\pi N}$.

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