Second moment of the pion distribution amplitude with the momentum smearing technique

Abstract

Using the second moment of the pion distribution amplitude as an example, we investigate whether lattice calculations of matrix elements of local operators involving covariant derivatives may benefit from the recently proposed momentum smearing technique for hadronic interpolators. Comparing the momentum smearing technique to the traditional Wuppertal smearing we find - at equal computational cost - a considerable reduction of the statistical errors. The present investigation was carried out using $N_f=2+1$ dynamical non-perturbatively order $a$ improved Wilson fermions on lattices of different volumes and pion masses down to 220 MeV.

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• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Exclusive processes in position space and the pion distribution amplitude
• Moments of pseudoscalar meson distribution amplitudes from the lattice
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Cited by in corpus (3)

• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Subleading power corrections to the pion-photon transition form factor in QCD
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors