The Second Moment of the Pion Light Cone Wave Function

Abstract

We present a preliminary result for second moment of the light cone wave function of the pion. This parameter is the subject of a discrepancy between theoretical predictions (coming from lattice and sum rules) and a recent experimental result (that remarkably agrees with purely perturbative predictions). In this work we exploit lattice hypercubic symmetries to remove power divergences and, moreover, implement a full 1-loop matching for all the contributing operators.

3 pages, proceedings of the Lattice 2002 conference

Cited by in corpus (36)

• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Hadron structure from lattice quantum chromodynamics
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• SU(3) Breaking in K and K* Distribution Amplitudes
• Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)|
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Tagging the pion quark structure in QCD
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• Impact of the higher twist effects on the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Models for Light-Cone Meson Distribution Amplitudes
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• Pion transition form factor and distribution amplitudes in large-Nc Regge models
• Determination of the pion distribution amplitude
• Photon distribution amplitudes and light-cone wave functions in chiral quark models
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude
• A Comprehensive Analysis on the Pion-Photon Transition Form Factor Beyond the Leading Fock State
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Heavy Quarks on the Lattice
• Second moment of the pion's distribution amplitude
• On the second Gegenbauer moment of $\rho$-meson distribution amplitude
• Selected topics in e^+e^- collisions
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• Non-leptonic B-decays in and beyond QCD Factorisation
• Looking for heavy axial tensor mesons via their strong decays in light cone QCD