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  • Letter
  • Open Access

Toward N to Nπ matrix elements from lattice QCD

Lorenzo Barca*, Gunnar Bali†, and Sara Collins‡

  • Fakultät für Physik, Universität Regensburg, Universitätsstraße 31, 93053 Regensburg, Germany

  • *lorenzo.barca@desy.de
  • †gunnar.bali@ur.de
  • ‡sara.collins@ur.de
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Phys. Rev. D 107, L051505 – Published 23 March, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L051505

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 quasielastic 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 mπ=429  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.

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Phys. Rev. D 107, L051505– Published 23 March, 2023
  • Received 22 November 2022
  • Accepted 7 March 2023
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