Second moment of the pion's distribution amplitude

Abstract

We present preliminary results from the QCDSF/UKQCD collaborations for the second moment of the pion's distribution amplitude with two flavours of dynamical fermions. We use nonperturbatively determined renormalisation coefficients to convert our results to the MSbar scheme at 5 GeV^2. Employing a linear chiral extrapolation from our large pion masses >550 MeV, we find <xi^2>=0.281(28), leading to a value of a_2=0.236(82) for the second Gegenbauer moment.

arXiv comment6 pages, 5 figures, 1 table. To appear in: Procs. of the Workshop on Light-Cone QCD and Nonperturbative Hadron Physics 2005 (LC 2005), Cairns, Australia, 2005

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• Hard spectator interactions in B to pi pi at order alpha_s^2
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
• Polarized and unpolarized $\mu$-pair meson-induced Drell--Yan production and the pion distribution amplitude
• Dispersive derivation of the pion distribution amplitude
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models