Chiral Corrections to Hyperon Axial Form Factors

Abstract

We study the complete set of flavor changing hyperon axial current matrix elements at small momentum transfer. Using partially quenched heavy baryon chiral perturbation theory, we derive the chiral and momentum behavior of the axial and induced pseudoscalar form factors. The meson pole contributions to the latter posses a striking signal for chiral physics. We argue that the study of hyperon axial matrix elements enables a systematic lattice investigation of the efficacy of three flavor chiral expansions in the baryon sector. This can be achieved by considering chiral corrections to SU(3) symmetry predictions, and their partially quenched generalizations. In particular, despite the presence of eight unknown low-energy constants, we are able to make next-to-leading order symmetry breaking predictions for two linear combinations of axial charges.

23 pages, 3 figures, typos corrected and a new NLO prediction added

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Cited by in corpus (15)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Helicity Analysis of Semileptonic Hyperon Decays Including Lepton Mass Effects
• Hyperons in Two Flavor Chiral Perturbation Theory
• The masses and axial currents of the doubly charmed baryons
• Axial Charges of Octet Baryons in Two-flavor Lattice QCD
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Chiral Corrections and the Axial Charge of the Delta
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• Isovector axial-vector form factors of octet baryons in QCD
• 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
• Gravitational form factors of hyperons in light-cone QCD
• Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons
• Studying Two-body Nonleptonic Weak Decays of Hyperons with Topological Diagram Approach
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Isovector Axial Vector Form Factors of Octet-Decuplet Hyperon Transition in QCD