The fourth Mellin moment of the pion distribution amplitude is determined in the continuum limit for the first time in quenched QCD, giving <ξ^4> = 0.039(28)(11) at μ = 2 GeV.
Lattice Results for Low Moments of Light Meson Distribution Amplitudes
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abstract
As part of the UKQCD and RBC collaborations' N_f=2+1 domain-wall fermion phenomenology programme, we calculate the first two moments of the light-cone distribution amplitudes of the pseudoscalar mesons pion and kaon and the (longitudinally-polarised) vector mesons rho, K-star and phi. We obtain the desired quantities with good precision and are able to discern the expected quark-mass dependence of SU(3)-flavour breaking effects. An important ingredient of the calculation is the nonperturbative renormalisation of lattice operators using the RI'/MOM technique.
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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude
The fourth Mellin moment of the pion distribution amplitude is determined in the continuum limit for the first time in quenched QCD, giving <ξ^4> = 0.039(28)(11) at μ = 2 GeV.