Recoil Order Chiral Corrections to Baryon Octet Axial Currents and Large $N_c$ QCD

Abstract

We compute the chiral corrections to octet baryon axial currents through $\mathcal{O}(p^3)$ in heavy baryon chiral perturbation theory, including both octet and decuplet baryon intermediate states. We include the latter in a consistent way by using the small scale expansion. We find that, in contrast to the situation at $\mathcal{O}(p^2)$, there exist no cancellations between octet and decuplet contributions at $\mathcal{O}(p^3)$. Consequently, the $\mathcal{O}(p^3)$ corrections spoil the expected scaling behavior of the chiral expansion. We discuss this result in terms of the $1/N_c$ expansion. We also consider the implications for determination of the strange quark contribution to the nucleon spin from polarized deep inelastic scattering data.

7 pages

Cited by in corpus (20)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• The masses and axial currents of the doubly charmed baryons
• Meson-baryon scattering lengths in HB$\chi$PT
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• QCD analysis of polarized DIS and the SIDIS asymmetry world data and light sea-quark decomposition
• Decuplet contribution to the meson-baryon scattering lengths
• Long distance regularization in chiral perturbation theory with decuplet
• Mass and axial charge of heavy baryons
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Don't Forget to Measure $\Delta s$
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• The Δcontribution to the parity-violating nucleon-nucleon force
• AAK24: Global QCD analysis on polarized parton distribution in the presence of $A_2$ asymmetry measurements
• Measurements of the Absolute Branching Fraction of the Semileptonic Decay ${\mathbf{\Xi }}^{-}\to \mathbf{\Lambda }{\mathbf{e}}^{-}{\bar{\nu }}_{\mathbf{e}}$ and the Axial Charge of the ${\mathbf{\Xi }}^{-}$