Chiral extrapolation of nucleon wave function normalization constants

TL;DR

This paper develops chiral extrapolation formulas for nucleon wave function constants using covariant baryon chiral perturbation theory, incorporating finite volume effects and fitting to lattice QCD data.

Contribution

It provides the first leading one-loop extrapolation formulas for nucleon wave function normalization constants expressed in chiral fields.

Findings

Derived extrapolation formulas including finite volume effects.

Fitted low energy constants to recent lattice QCD data.

Extracted physical values of nucleon wave function 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.