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.
Induced pseudoscalar coupling of the proton weak interaction
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abstract
The induced pseudoscalar coupling $g_p$ is the least well known of the weak coupling constants of the proton's charged--current interaction. Its size is dictated by chiral symmetry arguments, and its measurement represents an important test of quantum chromodynamics at low energies. During the past decade a large body of new data relevant to the coupling $g_p$ has been accumulated. This data includes measurements of radiative and non radiative muon capture on targets ranging from hydrogen and few--nucleon systems to complex nuclei. Herein the authors review the theoretical underpinnings of $g_p$, the experimental studies of $g_p$, and the procedures and uncertainties in extracting the coupling from data. Current puzzles are highlighted and future opportunities are discussed.
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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.