Novel analysis of chiral loop effects in the generalized Gerasimov-Drell-Hearn sum rule

Abstract

We study the chiral loop corrections to the generalized Gerasimov-Drell-Hearn sum rule of the nucleon for finite photon virtuality in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. We perform a complete one-loop calculation and obtain significant differences to previously found results based on the heavy baryon approach for the proton and neutron spin-dependent forward Compton amplitudes.

7 pp, 3 figs, published version, extended discussion, minor revisions

References in corpus (7)

• The chiral effective pion-nucleon Lagrangian of order p^4
• Low energy analysis of the nucleon electromagnetic form factors
• The GDH Sum Rule and Related Integrals
• Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
• Complete one-loop analysis of the nucleon's spin polarizabilities
• Generalized Drell-Hearn-Gerasimov Sum Rule at Order {\cal O}(p^4) in Chiral Perturbation Theory
• Generalized Gerasimov-Drell-Hearn Sum Rule for the Proton-Neutron Difference in Chiral Perturbation Theory

Cited by in corpus (30)

• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Chiral Perturbation Theory and Baryon Properties
• Dispersion relations in real and virtual Compton scattering
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• The Spin Structure of the Nucleon
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• The Q^2 evolution of the generalized Gerasimov-Drell-Hearn integral for the neutron using a He-3 target
• Spin structure of the nucleon at low energies
• Q^2 Evolution of the Neutron Spin Structure Moments using a He-3 Target
• Infrared regularization with spin-3/2 fields
• New insights into the spin structure of the nucleon
• Burkhardt-Cottingham sum rule and forward spin polarizabilities in Heavy Baryon Chiral Perturbation Theory
• The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon
• Hadron structure at low Q^2
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• The Gerasimov-Drell-Hearn Sum Rule
• Measurement of the Bjorken Sum at very low $Q^2$
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• Measurement of the Q^2 Dependence of the Deuteron Spin Structure Function g_1 and its Moments at Low Q^2 with CLAS
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: II. Spin polarizabilities and moments of polarized structure functions
• Measurement of the proton spin structure at long distances
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities
• Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model
• The g2p Experiment: A Measurement of the Proton's Spin Structure Functions
• Polarized Structure Functions in the Valence Quark and Resonance Regions and the GDH Sum
• Low energy theorem for virtual Compton scattering and generalized sum rules of the nucleon
• Spin Response of the Nucleon in the Resonance Region
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS