Chiral extrapolation of nucleon wave function normalization constants

Abstract

Within the framework of two-flavor covariant baryon chiral perturbation theory we have expressed the Chernyak-Zhitnitsky, Ioffe and Dosch currents in terms of chiral fields to provide leading one-loop extrapolation formulae for the leading and next-to-leading twist normalization constants $f_N$, ${\lambda }_1$ and ${\lambda }_2$. Finite volume effects due to pion loops have been taken into account. The occurring low energy constants are fitted to data obtained from recent lattice QCD simulations in order to extract the values at the physical point.

References in corpus (7)

• Simple derivation of general Fierz-type identities
• The nucleon axial-vector coupling beyond one loop
• Nucleon distribution amplitudes and proton decay matrix elements on the lattice
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• Chiral Properties of Baryon Interpolating Fields
• Nucleons on the light-cone: Theory and phenomenology of baryon distribution amplitudes

Cited by in corpus (20)

• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Nucleon axial structure from lattice QCD
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Light-cone distribution amplitudes of the baryon octet
• Nucleon-pion-state contribution to nucleon two-point correlation functions
• $N\pi$-state contamination in lattice calculations of the nucleon pseudoscalar form factor
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• Model-independent calculation of $SU(3{)}_f$ violation in baryon octet light-cone distribution amplitudes
• Multi-hadron-state contamination in nucleon observables from chiral perturbation theory
• $N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors
• Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• Three-particle $N\pi \pi$ state contribution to the nucleon two-point function in lattice QCD
• Finite Volume corrections to $<x{>}_{u\pm d}$