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Toward $N$ to $N\pi$ matrix elements from lattice QCD
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abstract
QCD matrix elements of axial and vector currents between nucleons are required for the Monte Carlo reconstruction of the energy of neutrinos that are detected in long baseline oscillation experiments in the quasi-elastic regime. The cleanest approach for determining the axial matrix elements is lattice QCD. However, the extraction of these from the corresponding correlation functions is complicated by very large excited state contributions, that are related to transitions from the nucleon to a nucleon-pion pair. In this pilot study with a pion mass $m_\pi = 429~ \mathrm{MeV}$, we demonstrate for the first time that these contributions can be removed by including five-(anti)quark operators into the basis of interpolators used to create the nucleon. The same techniques will be needed to compute transition matrix elements between the nucleon and nucleon-pion scattering states that are relevant in the resonance production regime.
Forward citations
Cited by 3 Pith papers
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A proposal for removing $\pi N$-state contamination from the nucleon induced pseudoscalar form factor in lattice QCD
A time-derivative subtraction of axial-vector correlators removes leading pion-nucleon contamination from the nucleon induced pseudoscalar form factor, yielding plateau values that match the pion-pole-dominance model.
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Nucleon sigma terms with a variational analysis from Lattice QCD
A variational basis with nucleon-sigma interpolators reduces excited state contamination in direct lattice QCD determinations of nucleon sigma terms, demonstrated on one Nf=3 ensemble at M_pi=429 MeV.
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Investigation of $\pi N$ contributions to nucleon matrix elements
A GEVP weighting that skips the costly pion-nucleon diagonal three-point function significantly reduces N pi excited-state contamination for isovector pseudoscalar and axial nucleon matrix elements at m_pi=131 MeV.
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