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.

References in corpus (6)

• 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
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Leptonic Decays of Charged Pseudoscalar Mesons
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD

Cited by in corpus (16)

• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Subleading power corrections to the pion-photon transition form factor in QCD
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Pion to photon transition form factors with basis light-front quantization
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• Moments of parton distribution functions of any order from lattice QCD
• The pion in the graviton soft-wall model: phenomenological applications
• Dispersive derivation of the pion distribution amplitude
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models