Pion Distribution Amplitude from Lattice QCD

2015/10/26 by Braun, V. M., Collins, S., Göckeler, M. +4 · 4 citations
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1510.07429

Abstract

We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between 0.06 \mathrm fm and 0.08 \mathrm fm and pion masses down to m_π∼ 150 \mathrm MeV. Our result for the second Gegenbauer coefficient is a₂ = 0.1364(154)(145) and for the width parameter ⟨ ξ² ⟩ = 0.2361(41)(39). Both numbers refer to the scale μ=2 \mathrm GeVin the MS scheme, the first error is statistical including the uncertainty of the chiral extrapolation, and the second error is the estimated uncertainty coming from the nonperturbatively determined renormalization factors.

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