The electromagnetic mass difference of pions from asymptotic QCD

@article{Nasrallah1983TheEM,
  title={The electromagnetic mass difference of pions from asymptotic QCD},
  author={Nasrallah F. Nasrallah and Nikolaos A. Papadopoulos and Karl Schilcher},
  journal={Zeitschrift f{\"u}r Physik C Particles and Fields},
  year={1983},
  volume={16},
  pages={323-326}
}
AbstractWe show how the asymptotic behaviour of an analytic amplitude can yield information on the amplitude at small space-like momenta. Applying this to QCD two-point functions, we are able to obtain low energy parameters without using resonance saturation. In the special case considered here, we have calculated the electromagnetic mass difference of pions using only the asymptotic QCD amplitude. The result, in very good agreement with experiment is $$\Delta m_\pi = 5.3 \pm 1.5MeV.$$  
9 Citations
Determination of QCD condensates from low-energy hadronic data.
  • Caprini
  • Physics
    Physical review. D, Particles and fields
  • 1991
TLDR
It is concluded that a precise determination of the four quark and gluon condensates is not possible unless a better theoretical knowledge of the high-energy QCD expansion and its truncation error is achieved.
Pion distribution amplitude extracted from the experimental data with the local duality sum rule
The photon-to-pion transition form factor is investigated using the form of the renormalon-based twist-four pion distribution amplitude (DA) in the framework of the light-cone local-duality QCD sum
Determination of QCD condensates frome+e− annihilation: anL∞ norm approach
Results of a new determination of QCD condensates frome+e−→Isospin 1 hadrons data are given. Using a new method to analyse these data, we show that the range of values for the gluon condensate and
A Relation Between Gluon Condensates from a Local QCD Sum Rule
A new approach to get relations between the gluon condensates is shown to be utilization of the local Quantum Chromodynamics (QCD) sum rule via method of analytic continuation by duality in
Comparison between two strictly local QCD sum rules.
TLDR
Two strictly local QCD sum rules, analytic extrapolation by conformal mapping and analytic continuation by duality, are developed and presented in full detail, and their effectiveness is demonstrated in the calculation of the topological susceptibility.

References

SHOWING 1-8 OF 8 REFERENCES
Determination of the Quark-Gluon Coupling Constant
Presented here is a new method of applying perturbation theory to ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\mathrm{hadrons}$. Contact between theory and experiment is greatly enhanced by
Electromagnetic mass difference of pions
Using the algebra of currents and the sum rules recently derived by Weinberg, we calculate the electromagnetic mass difference of pions and obtaim mπ+−mπ0≃5.0 MeV.
delta. I=1/2 selection rule in quantum chromodynamics
In the Weinberg-Salam unified model of weak and electromagnetic interactions it is shown that the ..delta..I=1/2 decay matrix element M(K/sup 0//sub S/..-->..2..pi..) can be expressed as an integral