Sum rule for the Compton amplitude and implications for the proton-neutron mass difference

Abstract

The Cottingham formula expresses the leading contribution of the electromagnetic interaction to the proton-neutron mass difference as an integral over the forward Compton amplitude. Since quarks and gluons reggeize, the dispersive representation of this amplitude requires a subtraction. We assume that the asymptotic behaviour is dominated by Reggeon exchange. This leads to a sum rule that expresses the subtraction function in terms of measurable quantities. The evaluation of this sum rule leads to $m_{QED}^{p-n}=0.58\pm 0.16\,\mbox{MeV}$.

arXiv comment26 pages, 9 figures. Update, matches the version published in EPJC

References in corpus (30)

• Ab initio calculation of the neutron-proton mass difference
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Unitary Isobar Model - MAID2007
• The ABM parton distributions tuned to LHC data
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Empirical Fit to Precision Inclusive Electron-Proton Cross Sections in the Resonance Region
• Proton and neutron electromagnetic form factors and uncertainties
• Dispersive analysis of the decay eta -> 3 pi
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• gamma* N -> Delta transition form factors: a new analysis of the JLab data on p(e,e'p)pi0 at Q^2=2.8 and 4.0 (GeV/c)^2
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron Resonance Region Transverse Cross Sections
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
• Extracting Electric Polarizabilities from Lattice QCD
• Electromagnetic and spin polarisabilities in lattice QCD
• Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with data
• Massive photons: an infrared regularization scheme for lattice QCD+QED
• Local Two-Photon Couplings and the J=0 Fixed Pole in Real and Virtual Compton Scattering
• Nucleon spin-averaged forward virtual Compton tensor at large $Q^2$
• Dispersive estimate of the electromagnetic charge symmetry violation in the octet baryon masses
• Magnetic polarisability of the nucleon using a Laplacian mode projection
• Electromagnetic Contribution to the Proton-Neutron Mass Splitting
• $J=0$ fixed pole and $D$-term form factor in deeply virtual Compton scattering
• Interpretation of electron-proton scattering at low Q^2
• Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Constraints on the virtual Compton scattering on the nucleon in a new dispersive formalism
• Electromagnetic proton-neutron mass difference

Cited by in corpus (15)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Kaon electromagnetic form factors in dispersion theory
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• The Present and Future of QCD
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• The subtraction contribution to the muonic-hydrogen Lamb shift: a point for lattice QCD calculations of the polarizability effect
• Finite volume corrections to forward Compton scattering off the nucleon
• Magnetic Polarisability of Octet Baryons via Lattice QCD
• Lattice QCD calculation of the Compton amplitude subtraction function
• Analyticity and Regge asymptotics in virtual Compton scattering on the nucleon
• Nucleon mass: trace anomaly and $\sigma$-terms